FOR MARINE NAVIGATION - California Maritime Academy Library Portal PDF
Preview FOR MARINE NAVIGATION - California Maritime Academy Library Portal
PUB. NO. 229 VOL. 2 SIGHT REDUCTION TABLES FOR MARINE NAVIGATION (cid:176)- (cid:176) LATITUDES 15 30 , Inclusive NATIONAL IMAGERY AND MAPPING AGENCY INTERPOLATION TABLE Altitude Difference (d) Double Altitude Difference (d) Double Second Second Dec. Diff. Dec. Diff. Inc. Tens Dec(cid:223)imals Units and Inc. Tens Deci(cid:223)mals Units and 10¢ 20¢ 30¢ 40¢ 50¢ 0¢ 1¢ 2¢ 3¢ 4¢ 5¢ 6¢ 7¢ 8¢ 9¢ Corr. 10¢ 20¢ 30¢ 40¢ 50¢ 0¢ 1¢ 2¢ 3¢ 4¢ 5¢ 6¢ 7¢ 8¢ 9¢ Corr. ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ 0.0 0.0 0.0 0.0 0.0 0.0 .0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 8.0 1.3 2.6 4.0 5.3 6.6 .0 0.0 0.1 0.3 0.4 0.6 0.7 0.8 1.0 1.1 1.3 0.1 0.0 0.0 0.0 0.0 0.1 .1 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 8.1 1.3 2.7 4.0 5.4 6.7 .1 0.0 0.2 0.3 0.4 0.6 0.7 0.9 1.0 1.1 1.3 0.0 00..23 00..00 00..01 00..11 00..12 00..12 ..23 00..00 00..00 00..00 00..00 00..00 00..00 00..11 00..11 00..11 00..11 48.2 0.0 88..32 11..43 22..87 44..11 55..54 66..98 ..23 00..00 00..22 00..33 00..55 00..66 00..78 00..99 11..00 11..22 11..33 14..68 0.1 0.4 0.1 0.1 0.2 0.3 0.3 .4 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 8.4 1.4 2.8 4.2 5.6 7.0 .4 0.1 0.2 0.3 0.5 0.6 0.8 0.9 1.0 1.2 1.3 8.0 0.2 0.3 11.2 0.5 0.1 0.2 0.3 0.3 0.4 .5 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 8.5 1.4 2.8 4.3 5.7 7.1 .5 0.1 0.2 0.4 0.5 0.6 0.8 0.9 1.1 1.2 1.3 0.4 000...678 000...112 000...233 000...344 000...456 000...567 ...678 000...000 000...000 000...000 000...000 000...000 000...000 000...111 000...111 000...111 000...111 1468..26 0.1 888...687 111...455 232...909 444...344 555...798 777...243 ...678 000...111 000...223 000...444 000...555 000...777 000...888 001...990 111...111 111...222 111...444 112470...579 000...567 0.9 0.2 0.3 0.5 0.6 0.8 .9 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 8.9 1.5 3.0 4.5 6.0 7.5 .9 0.1 0.3 0.4 0.6 0.7 0.8 1.0 1.1 1.3 1.4 24.1 0.8 27.3 0.9 1.0 0.1 0.3 0.5 0.6 0.8 .0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 9.0 1.5 3.0 4.5 6.0 7.5 .0 0.0 0.2 0.3 0.5 0.6 0.8 0.9 1.1 1.3 1.4 30.5 1.0 1.1 0.2 0.3 0.5 0.7 0.9 .1 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 9.1 1.5 3.0 4.5 6.0 7.6 .1 0.0 0.2 0.3 0.5 0.6 0.8 1.0 1.1 1.3 1.4 33.7 1.1 1.2 0.2 0.4 0.6 0.8 1.0 .2 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 9.2 1.5 3.0 4.6 6.1 7.6 .2 0.0 0.2 0.3 0.5 0.7 0.8 1.0 1.1 1.3 1.5 36.9 1.3 0.2 0.4 0.6 0.9 1.1 .3 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 9.3 1.5 3.1 4.6 6.2 7.7 .3 0.0 0.2 0.4 0.5 0.7 0.8 1.0 1.2 1.3 1.5 1.4 0.2 0.5 0.7 0.9 1.2 .4 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 8.2 9.4 1.6 3.1 4.7 6.3 7.8 .4 0.1 0.2 0.4 0.5 0.7 0.9 1.0 1.2 1.3 1.5 0.1 24.6 1.5 0.3 0.5 0.8 1.0 1.3 .5 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 41.0 0.2 9.5 1.6 3.2 4.8 6.3 7.9 .5 0.1 0.2 0.4 0.6 0.7 0.9 1.0 1.2 1.3 1.5 1.6 0.3 0.5 0.8 1.1 1.3 .6 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 9.6 1.6 3.2 4.8 6.4 8.0 .6 0.1 0.3 0.4 0.6 0.7 0.9 1.0 1.2 1.4 1.5 1.4 1.7 0.3 0.6 0.9 1.2 1.4 .7 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 9.7 1.6 3.3 4.9 6.5 8.1 .7 0.1 0.3 0.4 0.6 0.7 0.9 1.1 1.2 1.4 1.5 4.2 0.1 1.8 0.3 0.6 0.9 1.2 1.5 .8 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 9.8 1.7 3.3 4.9 6.6 8.2 .8 0.1 0.3 0.4 0.6 0.8 0.9 1.1 1.2 1.4 1.6 7.1 0.2 1.9 0.4 0.7 1.0 1.3 1.6 .9 0.0 0.0 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 9.9 1.7 3.3 5.0 6.6 8.3 .9 0.1 0.3 0.5 0.6 0.8 0.9 1.1 1.3 1.4 1.6 9.9 0.3 0.4 12.7 2.0 0.3 0.6 1.0 1.3 1.6 .0 0.0 0.0 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.4 10.0 1.6 3.3 5.0 6.6 8.3 .0 0.0 0.2 0.3 0.5 0.7 0.9 1.0 1.2 1.4 1.6 0.5 15.5 2.1 0.3 0.7 1.0 1.4 1.7 .1 0.0 0.0 0.1 0.1 0.2 0.2 0.3 0.3 0.3 0.4 10.1 1.7 3.3 5.0 6.7 8.4 .1 0.0 0.2 0.4 0.5 0.7 0.9 1.1 1.2 1.4 1.6 0.6 18.4 2.2 0.3 0.7 1.1 1.4 1.8 .2 0.0 0.0 0.1 0.1 0.2 0.2 0.3 0.3 0.3 0.4 10.2 1.7 3.4 5.1 6.8 8.5 .2 0.0 0.2 0.4 0.6 0.7 0.9 1.1 1.3 1.4 1.6 0.7 2222....3456 0000....4444 0000....8889 1111....1233 1111....5677 1222....9012 ....3456 0000....0000 0000....1111 0000....1111 0000....1111 0000....2222 0000....2222 0000....3333 0000....3333 0000....3344 0000....4444 1235555.0...001 000...123 11110000....3456 1111....7788 3333....4555 5555....1233 6677....9901 8888....6788 ....3456 0000....1111 0000....2233 0000....4445 0000....6666 0000....8888 0011....9900 1111....1112 1111....3333 1111....5555 1111....6677 2222314692.....20875 00111.....89012 2.7 0.5 0.9 1.4 1.8 2.3 .7 0.0 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.4 0.4 10.7 1.8 3.6 5.4 7.2 8.9 .7 0.1 0.3 0.5 0.6 0.8 1.0 1.2 1.3 1.5 1.7 35.3 2.8 0.5 1.0 1.4 1.9 2.4 .8 0.0 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.4 0.4 10.8 1.8 3.6 5.4 7.2 9.0 .8 0.1 0.3 0.5 0.7 0.8 1.0 1.2 1.4 1.5 1.7 2.9 0.5 1.0 1.5 2.0 2.5 .9 0.0 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.4 0.4 10.9 1.9 3.7 5.5 7.3 9.1 .9 0.2 0.3 0.5 0.7 0.9 1.0 1.2 1.4 1.6 1.7 3.0 0.5 1.0 1.5 2.0 2.5 .0 0.0 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0.5 0.5 11.0 1.8 3.6 5.5 7.3 9.1 .0 0.0 0.2 0.4 0.6 0.8 1.0 1.1 1.3 1.5 1.7 3.1 0.5 1.0 1.5 2.0 2.6 .1 0.0 0.1 0.1 0.2 0.2 0.3 0.4 0.4 0.5 0.5 11.1 1.8 3.7 5.5 7.4 9.2 .1 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.7 1.3 3.2 0.5 1.0 1.6 2.1 2.6 .2 0.0 0.1 0.1 0.2 0.2 0.3 0.4 0.4 0.5 0.5 3.6 11.2 1.8 3.7 5.6 7.4 9.3 .2 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 3.8 0.1 3.3 0.5 1.1 1.6 2.2 2.7 .3 0.0 0.1 0.1 0.2 0.3 0.3 0.4 0.4 0.5 0.5 10.9 0.1 11.3 1.9 3.8 5.6 7.5 9.4 .3 0.1 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 6.3 0.2 3.4 0.6 1.1 1.7 2.3 2.8 .4 0.0 0.1 0.1 0.2 0.3 0.3 0.4 0.4 0.5 0.5 18.2 0.2 11.4 1.9 3.8 5.7 7.6 9.5 .4 0.1 0.3 0.5 0.7 0.8 1.0 1.2 1.4 1.6 1.8 8.9 0.3 333...567 000...666 111...223 111...889 222...345 233...901 ...567 000...000 000...111 000...122 000...222 000...333 000...333 000...444 000...444 000...555 000...666 234520...581 000...345 111111...567 112...990 333...899 555...889 777...778 999...678 ...567 000...111 000...333 000...555 000...777 000...999 111...111 111...233 111...455 111...667 111...889 111146...405 0000....4567 3.8 0.7 1.3 1.9 2.6 3.2 .8 0.0 0.1 0.2 0.2 0.3 0.3 0.4 0.5 0.5 0.6 11.8 2.0 4.0 5.9 7.9 9.9 .8 0.2 0.3 0.5 0.7 0.9 1.1 1.3 1.5 1.7 1.9 19.0 0.8 3.9 0.7 1.3 2.0 2.6 3.3 .9 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0.5 0.5 0.6 11.9 2.0 4.0 6.0 8.0 10.0 .9 0.2 0.4 0.6 0.7 0.9 1.1 1.3 1.5 1.7 1.9 21.6 0.9 24.1 1.0 4.0 0.6 1.3 2.0 2.6 3.3 .0 0.0 0.1 0.1 0.2 0.3 0.4 0.4 0.5 0.6 0.7 12.0 2.0 4.0 6.0 8.0 10.0 .0 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.5 1.7 1.9 26.7 1.1 4.1 0.7 1.3 2.0 2.7 3.4 .1 0.0 0.1 0.2 0.2 0.3 0.4 0.5 0.5 0.6 0.7 12.1 2.0 4.0 6.0 8.0 10.1 .1 0.0 0.2 0.4 0.6 0.9 1.1 1.3 1.5 1.7 1.9 29.2 1.2 4.2 0.7 1.4 2.1 2.8 3.5 .2 0.0 0.1 0.2 0.2 0.3 0.4 0.5 0.5 0.6 0.7 2.9 0.1 12.2 2.0 4.0 6.1 8.1 10.1 .2 0.0 0.2 0.5 0.7 0.9 1.1 1.3 1.5 1.7 1.9 31.7 1.3 4.3 0.7 1.4 2.1 2.9 3.6 .3 0.0 0.1 0.2 0.2 0.3 0.4 0.5 0.5 0.6 0.7 8.6 12.3 2.0 4.1 6.1 8.2 10.2 .3 0.1 0.3 0.5 0.7 0.9 1.1 1.3 1.5 1.7 1.9 34.3 0.2 4.4 0.7 1.5 2.2 2.9 3.7 .4 0.0 0.1 0.2 0.3 0.3 0.4 0.5 0.6 0.6 0.7 14.4 12.4 2.1 4.1 6.2 8.3 10.3 .4 0.1 0.3 0.5 0.7 0.9 1.1 1.3 1.5 1.7 2.0 0.3 20.2 4.5 0.8 1.5 2.3 3.0 3.8 .5 0.0 0.1 0.2 0.3 0.3 0.4 0.5 0.6 0.6 0.7 25.9 0.4 12.5 2.1 4.2 6.3 8.3 10.4 .5 0.1 0.3 0.5 0.7 0.9 1.1 1.4 1.6 1.8 2.0 1.2 4.6 0.8 1.5 2.3 3.1 3.8 .6 0.0 0.1 0.2 0.3 0.3 0.4 0.5 0.6 0.6 0.7 31.7 0.5 12.6 2.1 4.2 6.3 8.4 10.5 .6 0.1 0.3 0.5 0.7 1.0 1.2 1.4 1.6 1.8 2.0 3.5 0.1 4.7 0.8 1.6 2.4 3.2 3.9 .7 0.1 0.1 0.2 0.3 0.4 0.4 0.5 0.6 0.7 0.7 37.5 0.6 12.7 2.1 4.3 6.4 8.5 10.6 .7 0.1 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 5.8 0.2 4.8 0.8 1.6 2.4 3.2 4.0 .8 0.1 0.1 0.2 0.3 0.4 0.4 0.5 0.6 0.7 0.7 12.8 2.2 4.3 6.4 8.6 10.7 .8 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 8.1 0.3 4.9 0.9 1.7 2.5 3.3 4.1 .9 0.1 0.1 0.2 0.3 0.4 0.4 0.5 0.6 0.7 0.7 12.9 2.2 4.3 6.5 8.6 10.8 .9 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.9 2.1 10.5 0.4 0.5 12.8 5.0 0.8 1.6 2.5 3.3 4.1 .0 0.0 0.1 0.2 0.3 0.4 0.5 0.5 0.6 0.7 0.8 13.0 2.1 4.3 6.5 8.6 10.8 .0 0.0 0.2 0.4 0.7 0.9 1.1 1.3 1.6 1.8 2.0 15.1 0.6 5.1 0.8 1.7 2.5 3.4 4.2 .1 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.7 0.8 2.4 13.1 2.2 4.3 6.5 8.7 10.9 .1 0.0 0.2 0.5 0.7 0.9 1.1 1.4 1.6 1.8 2.0 17.4 0.7 5.2 0.8 1.7 2.6 3.4 4.3 .2 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.8 7.2 0.1 13.2 2.2 4.4 6.6 8.8 11.0 .2 0.0 0.3 0.5 0.7 0.9 1.2 1.4 1.6 1.8 2.1 19.8 0.8 5.3 0.9 1.8 2.6 3.5 4.4 .3 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 12.0 0.2 13.3 2.2 4.4 6.6 8.9 11.1 .3 0.1 0.3 0.5 0.7 1.0 1.2 1.4 1.6 1.9 2.1 22.1 0.9 5.4 0.9 1.8 2.7 3.6 4.5 .4 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 16.8 0.3 13.4 2.2 4.5 6.7 8.9 11.2 .4 0.1 0.3 0.5 0.8 1.0 1.2 1.4 1.7 1.9 2.1 24.4 1.0 5555....5678 0011....9900 1112....8990 2222....8899 3333....7789 4444....6789 ....5678 0000....0111 0000....1122 0000....2223 0000....3333 0000....4444 0000....5555 0000....6666 0000....7777 0000....8888 0000....9999 22331616....6420 0000....4567 11113333....5678 2222....3333 4444....5566 6666....8899 9999....0122 11111111....3345 ....5678 0000....1122 0000....3444 0000....6666 0000....8889 1111....0011 1111....2333 1111....5555 1111....7778 1122....9900 2222....1222 22336913....7147 1111....1234 1.5 5.9 1.0 2.0 3.0 4.0 5.0 .9 0.1 0.2 0.3 0.4 0.4 0.5 0.6 0.7 0.8 0.9 13.9 2.4 4.7 7.0 9.3 11.6 .9 0.2 0.4 0.7 0.9 1.1 1.3 1.6 1.8 2.0 2.2 36.0 6.0 1.0 2.0 3.0 4.0 5.0 .0 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.8 0.9 1.0 14.0 2.3 4.6 7.0 9.3 11.6 .0 0.0 0.2 0.5 0.7 1.0 1.2 1.4 1.7 1.9 2.2 6.1 1.0 2.0 3.0 4.0 5.1 .1 0.0 0.1 0.2 0.3 0.4 0.6 0.7 0.8 0.9 1.0 2.1 0.1 14.1 2.3 4.7 7.0 9.4 11.7 .1 0.0 0.3 0.5 0.7 1.0 1.2 1.5 1.7 2.0 2.2 6666666.......2345678 1111111.......0011112 2222222.......0112233 3333333.......1123344 4444444.......1233456 5555555.......1234567 .......2345678 0000000.......0001111 0000000.......1122222 0000000.......2233333 0000000.......3444444 0000000.......5555555 0000000.......6666666 0000000.......7777777 0000000.......8888888 0000001.......9999990 1111111.......0000011 111223360482615.2.......4568912 0000000.......2345678 11111114444444.......2345678 2222222.......3444455 4444445.......7888990 7777777.......1123344 9999999.......4567789 11111111122222.......8901234 .......2345678 0000000.......0111122 0000000.......3334444 0000000.......5666677 0000000.......8888999 1111111.......0011112 1111111.......3333444 1111111.......5556666 1111111.......7888899 2222222.......0001111 2222222.......2233334 111357913.......1235679 0000000.......1234567 6.9 1.2 2.3 3.5 4.6 5.8 .9 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.9 1.0 1.1 14.9 2.5 5.0 7.5 10.0 12.5 .9 0.2 0.5 0.7 0.9 1.2 1.4 1.7 1.9 2.2 2.4 16.0 0.8 18.1 77777777........01234567 11111111........12222333 22222222........33445556 33333333........55667889 44444555........67899012 55666666........89012334 ........01234567 00000000........00000111 00000000........11122222 00000000........23333333 00000000........44444445 00000000........55555666 00000000........66677777 00000000........78888888 00000001........99999990 11111111........00000111 11111111........11122222 1122215926037...851.....85184 00000000........12345678 1111111155555555........01234567 22222222........55556666 55555555........00011223 77777777........55667889 1111111100000000........00123345 1111111122222233........56678901 ........01234567 00000000........00111122 00000000........33334444 00000000........55666677 00000001........88899990 11111111........01111222 11111111........33344445 11111111........56667777 11111122........88999900 22222222........11112222 22222222........34444555 2222233302468035........34578912 01111111........90123456 7.8 1.3 2.6 3.9 5.2 6.5 .8 0.1 0.2 0.3 0.5 0.6 0.7 0.8 1.0 1.1 1.2 31.1 0.9 15.8 2.7 5.3 7.9 10.6 13.2 .8 0.2 0.5 0.7 1.0 1.2 1.5 1.8 2.0 2.3 2.5 7.9 1.4 2.7 4.0 5.3 6.6 .9 0.1 0.2 0.4 0.5 0.6 0.7 0.9 1.0 1.1 1.2 34.7 15.9 2.7 5.3 8.0 10.6 13.3 .9 0.2 0.5 0.7 1.0 1.3 1.5 1.8 2.0 2.3 2.6 10¢ 20¢ 30¢ 40¢ 50¢ 0¢ 1¢ 2¢ 3¢ 4¢ 5¢ 6¢ 7¢ 8¢ 9¢ 10¢ 20¢ 30¢ 40¢ 50¢ 0¢ 1¢ 2¢ 3¢ 4¢ 5¢ 6¢ 7¢ 8¢ 9¢ Page II The Double-Second-Difference correction (Corr.) is always to be added to the tabulated altitude. INTERPOLATION TABLE Altitude Difference (d) Double Altitude Difference (d) Double Second Second Dec. Diff. Dec. Diff. Inc. Tens Dec(cid:223)imals Units and Inc. Tens Deci(cid:223)mals Units and 10¢ 20¢ 30¢ 40¢ 50¢ 0¢ 1¢ 2¢ 3¢ 4¢ 5¢ 6¢ 7¢ 8¢ 9¢ Corr. 10¢ 20¢ 30¢ 40¢ 50¢ 0¢ 1¢ 2¢ 3¢ 4¢ 5¢ 6¢ 7¢ 8¢ 9¢ Corr. ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ 16.0 2.6 5.3 8.0 10.6 13.3 .0 0.0 0.3 0.5 0.8 1.1 1.4 1.6 1.9 2.2 2.5 24.0 4.0 8.0 12.0 16.0 20.0 .0 0.0 0.4 0.8 1.2 1.6 2.0 2.4 2.9 3.3 3.7 0.8 16.1 2.7 5.3 8.0 10.7 13.4 .1 0.0 0.3 0.6 0.9 1.1 1.4 1.7 2.0 2.2 2.5 24.1 4.0 8.0 12.0 16.0 20.1 .1 0.0 0.4 0.9 1.3 1.7 2.1 2.5 2.9 3.3 3.7 2.5 0.1 16.2 2.7 5.4 8.1 10.8 13.5 .2 0.1 0.3 0.6 0.9 1.2 1.4 1.7 2.0 2.3 2.5 1.0 0.1 24.2 4.0 8.0 12.1 16.1 20.1 .2 0.1 0.5 0.9 1.3 1.7 2.1 2.5 2.9 3.3 3.8 4.1 0.2 16.3 2.7 5.4 8.1 10.9 13.6 .3 0.1 0.4 0.6 0.9 1.2 1.5 1.7 2.0 2.3 2.6 3.0 0.2 24.3 4.0 8.1 12.1 16.2 20.2 .3 0.1 0.5 0.9 1.3 1.8 2.2 2.6 3.0 3.4 3.8 5.8 0.3 16.4 2.7 5.5 8.2 10.9 13.7 .4 0.1 0.4 0.7 0.9 1.2 1.5 1.8 2.0 2.3 2.6 4.9 0.3 24.4 4.1 8.1 12.2 16.3 20.3 .4 0.2 0.6 1.0 1.4 1.8 2.2 2.6 3.0 3.4 3.8 7.4 0.4 6.9 0.5 16.5 2.8 5.5 8.3 11.0 13.8 .5 0.1 0.4 0.7 1.0 1.2 1.5 1.8 2.1 2.3 2.6 8.9 0.4 24.5 4.1 8.2 12.3 16.3 20.4 .5 0.2 0.6 1.0 1.4 1.8 2.2 2.7 3.1 3.5 3.9 9.1 0.6 16.6 2.8 5.5 8.3 11.1 13.8 .6 0.2 0.4 0.7 1.0 1.3 1.5 1.8 2.1 2.4 2.610.8 0.5 24.6 4.1 8.2 12.3 16.4 20.5 .6 0.2 0.7 1.1 1.5 1.9 2.3 2.7 3.1 3.5 3.9 10.7 0.7 16.7 2.8 5.6 8.4 11.2 13.9 .7 0.2 0.5 0.7 1.0 1.3 1.6 1.8 2.1 2.4 2.712.8 0.6 24.7 4.1 8.3 12.4 16.5 20.6 .7 0.3 0.7 1.1 1.5 1.9 2.3 2.7 3.1 3.6 4.0 12.3 0.8 16.8 2.8 5.6 8.4 11.2 14.0 .8 0.2 0.5 0.8 1.0 1.3 1.6 1.9 2.1 2.4 2.714.8 0.7 24.8 4.2 8.3 12.4 16.6 20.7 .8 0.3 0.7 1.1 1.6 2.0 2.4 2.8 3.2 3.6 4.0 14.0 0.9 16.9 2.9 5.7 8.5 11.3 14.1 .9 0.2 0.5 0.8 1.1 1.3 1.6 1.9 2.2 2.4 2.716.7 0.8 24.9 4.2 8.3 12.5 16.6 20.8 .9 0.4 0.8 1.2 1.6 2.0 2.4 2.8 3.2 3.6 4.0 15.6 1.0 0.9 17.3 18.7 1.1 17.0 2.8 5.6 8.5 11.3 14.1 .0 0.0 0.3 0.6 0.9 1.2 1.5 1.7 2.0 2.3 2.620.7 1.0 25.0 4.1 8.3 12.5 16.6 20.8 .0 0.0 0.4 0.8 1.3 1.7 2.1 2.5 3.0 3.4 3.8 18.9 1.2 17.1 2.8 5.7 8.5 11.4 14.2 .1 0.0 0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.722.7 1.1 25.1 4.2 8.3 12.5 16.7 20.9 .1 0.0 0.5 0.9 1.3 1.7 2.2 2.6 3.0 3.4 3.9 20.6 1.3 17.2 2.8 5.7 8.6 11.4 14.3 .2 0.1 0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.724.6 1.2 25.2 4.2 8.4 12.6 16.8 21.0 .2 0.1 0.5 0.9 1.4 1.8 2.2 2.6 3.1 3.5 3.9 22.2 1.4 17.3 2.9 5.8 8.6 11.5 14.4 .3 0.1 0.4 0.7 1.0 1.3 1.5 1.8 2.1 2.4 2.726.6 1.3 25.3 4.2 8.4 12.6 16.9 21.1 .3 0.1 0.6 1.0 1.4 1.8 2.3 2.7 3.1 3.5 4.0 23.9 1.5 17.4 2.9 5.8 8.7 11.6 14.5 .4 0.1 0.4 0.7 1.0 1.3 1.6 1.9 2.2 2.4 2.728.6 1.4 25.4 4.2 8.5 12.7 16.9 21.2 .4 0.2 0.6 1.0 1.4 1.9 2.3 2.7 3.1 3.6 4.0 25.5 1.6 1.5 27.2 30.5 1.7 17.5 2.9 5.8 8.8 11.7 14.6 .5 0.1 0.4 0.7 1.0 1.3 1.6 1.9 2.2 2.5 2.832.5 1.6 25.5 4.3 8.5 12.8 17.0 21.3 .5 0.2 0.6 1.1 1.5 1.9 2.3 2.8 3.2 3.6 4.0 28.8 1.8 17.6 2.9 5.9 8.8 11.7 14.7 .6 0.2 0.5 0.8 1.0 1.3 1.6 1.9 2.2 2.5 2.834.5 1.7 25.6 4.3 8.5 12.8 17.1 21.3 .6 0.3 0.7 1.1 1.5 2.0 2.4 2.8 3.2 3.7 4.1 30.4 1.9 17.7 3.0 5.9 8.9 11.8 14.8 .7 0.2 0.5 0.8 1.1 1.4 1.7 2.0 2.2 2.5 2.8 25.7 4.3 8.6 12.9 17.2 21.4 .7 0.3 0.7 1.1 1.6 2.0 2.4 2.8 3.3 3.7 4.1 32.1 2.0 17.8 3.0 6.0 8.9 11.9 14.9 .8 0.2 0.5 0.8 1.1 1.4 1.7 2.0 2.3 2.6 2.9 25.8 4.3 8.6 12.9 17.2 21.5 .8 0.3 0.8 1.2 1.6 2.0 2.5 2.9 3.3 3.7 4.2 33.7 2.1 17.9 3.0 6.0 9.0 12.0 15.0 .9 0.3 0.6 0.8 1.1 1.4 1.7 2.0 2.3 2.6 2.9 25.9 4.4 8.7 13.0 17.3 21.6 .9 0.4 0.8 1.2 1.7 2.1 2.5 2.9 3.4 3.8 4.2 35.4 18.0 3.0 6.0 9.0 12.0 15.0 .0 0.0 0.3 0.6 0.9 1.2 1.5 1.8 2.2 2.5 2.8 26.0 4.3 8.6 13.0 17.3 21.6 .0 0.0 0.4 0.9 1.3 1.8 2.2 2.6 3.1 3.5 4.0 0.8 18.1 3.0 6.0 9.0 12.0 15.1 .1 0.0 0.3 0.6 1.0 1.3 1.6 1.9 2.2 2.5 2.8 0.9 26.1 4.3 8.7 13.0 17.4 21.7 .1 0.0 0.5 0.9 1.4 1.8 2.3 2.7 3.1 3.6 4.0 2.4 0.1 18.2 3.0 6.0 9.1 12.1 15.1 .2 0.1 0.4 0.7 1.0 1.3 1.6 1.9 2.2 2.5 2.8 2.8 0.1 26.2 4.3 8.7 13.1 17.4 21.8 .2 0.1 0.5 1.0 1.4 1.9 2.3 2.7 3.2 3.6 4.1 4.0 0.2 18.3 3.0 6.1 9.1 12.2 15.2 .3 0.1 0.4 0.7 1.0 1.3 1.6 1.9 2.3 2.6 2.9 4.6 0.2 26.3 4.4 8.8 13.1 17.5 21.9 .3 0.1 0.6 1.0 1.5 1.9 2.3 2.8 3.2 3.7 4.1 5.7 0.3 18.4 3.1 6.1 9.2 12.3 15.3 .4 0.1 0.4 0.7 1.0 1.4 1.7 2.0 2.3 2.6 2.9 6.5 0.3 26.4 4.4 8.8 13.2 17.6 22.0 .4 0.2 0.6 1.1 1.5 1.9 2.4 2.8 3.3 3.7 4.2 7.3 0.4 0.4 0.5 8.3 8.9 18.5 3.1 6.2 9.3 12.3 15.4 .5 0.2 0.5 0.8 1.1 1.4 1.7 2.0 2.3 2.6 2.9 0.5 26.5 4.4 8.8 13.3 17.7 22.1 .5 0.2 0.7 1.1 1.5 2.0 2.4 2.9 3.3 3.8 4.2 0.6 10.2 10.5 18.6 3.1 6.2 9.3 12.4 15.5 .6 0.2 0.5 0.8 1.1 1.4 1.7 2.0 2.3 2.7 3.0 0.6 26.6 4.4 8.9 13.3 17.7 22.2 .6 0.3 0.7 1.1 1.6 2.0 2.5 2.9 3.4 3.8 4.2 0.7 12.0 12.1 18.7 3.1 6.3 9.4 12.5 15.6 .7 0.2 0.5 0.8 1.1 1.4 1.8 2.1 2.4 2.7 3.0 0.7 26.7 4.5 8.9 13.4 17.8 22.3 .7 0.3 0.8 1.2 1.6 2.1 2.5 3.0 3.4 3.8 4.3 0.8 13.9 13.7 18.8 3.2 6.3 9.4 12.6 15.7 .8 0.2 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.7 3.0 0.8 26.8 4.5 9.0 13.4 17.9 22.4 .8 0.4 0.8 1.2 1.7 2.1 2.6 3.0 3.4 3.9 4.3 0.9 15.7 15.4 18.9 3.2 6.3 9.5 12.6 15.8 .9 0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.7 3.1 0.9 26.9 4.5 9.0 13.5 18.0 22.5 .9 0.4 0.8 1.3 1.7 2.2 2.6 3.0 3.5 3.9 4.4 1.0 17.6 17.0 1.0 1.1 19.4 18.6 19.0 3.1 6.3 9.5 12.6 15.8 .0 0.0 0.3 0.6 1.0 1.3 1.6 1.9 2.3 2.6 2.9 1.1 27.0 4.5 9.0 13.5 18.0 22.5 .0 0.0 0.5 0.9 1.4 1.8 2.3 2.7 3.2 3.7 4.1 1.2 21.3 20.2 19.1 3.2 6.3 9.5 12.7 15.9 .1 0.0 0.4 0.7 1.0 1.3 1.7 2.0 2.3 2.6 3.0 1.2 27.1 4.5 9.0 13.5 18.0 22.6 .1 0.0 0.5 1.0 1.4 1.9 2.3 2.8 3.3 3.7 4.2 1.3 23.1 21.8 19.2 3.2 6.4 9.6 12.8 16.0 .2 0.1 0.4 0.7 1.0 1.4 1.7 2.0 2.3 2.7 3.0 1.3 27.2 4.5 9.0 13.6 18.1 22.6 .2 0.1 0.5 1.0 1.5 1.9 2.4 2.8 3.3 3.8 4.2 1.4 25.0 23.4 19.3 3.2 6.4 9.6 12.9 16.1 .3 0.1 0.4 0.7 1.1 1.4 1.7 2.0 2.4 2.7 3.0 1.4 27.3 4.5 9.1 13.6 18.2 22.7 .3 0.1 0.6 1.1 1.5 2.0 2.4 2.9 3.3 3.8 4.3 1.5 26.8 25.1 19.4 3.2 6.5 9.7 12.9 16.2 .4 0.1 0.5 0.8 1.1 1.4 1.8 2.1 2.4 2.7 3.1 1.5 27.4 4.6 9.1 13.7 18.3 22.8 .4 0.2 0.6 1.1 1.6 2.0 2.5 2.9 3.4 3.8 4.3 1.6 28.7 26.7 1.6 1.7 19.5 3.3 6.5 9.8 13.0 16.3 .5 0.2 0.5 0.8 1.1 1.5 1.8 2.1 2.4 2.8 3.1 30.5 1.7 27.5 4.6 9.2 13.8 18.3 22.9 .5 0.2 0.7 1.1 1.6 2.1 2.5 3.0 3.4 3.9 4.4 28.3 1.8 19.6 3.3 6.5 9.8 13.1 16.3 .6 0.2 0.5 0.8 1.2 1.5 1.8 2.1 2.5 2.8 3.1 32.3 1.8 27.6 4.6 9.2 13.8 18.4 23.0 .6 0.3 0.7 1.2 1.6 2.1 2.6 3.0 3.5 3.9 4.4 29.9 1.9 19.7 3.3 6.6 9.9 13.2 16.4 .7 0.2 0.6 0.9 1.2 1.5 1.9 2.2 2.5 2.8 3.2 34.2 27.7 4.6 9.3 13.9 18.5 23.1 .7 0.3 0.8 1.2 1.7 2.2 2.6 3.1 3.5 4.0 4.4 31.5 2.0 19.8 3.3 6.6 9.9 13.2 16.5 .8 0.3 0.6 0.9 1.2 1.6 1.9 2.2 2.5 2.9 3.2 27.8 4.7 9.3 13.9 18.6 23.2 .8 0.4 0.8 1.3 1.7 2.2 2.7 3.1 3.6 4.0 4.5 33.1 2.1 19.9 3.4 6.7 10.0 13.3 16.6 .9 0.3 0.6 0.9 1.3 1.6 1.9 2.2 2.6 2.9 3.2 27.9 4.7 9.3 14.0 18.6 23.3 .9 0.4 0.9 1.3 1.8 2.2 2.7 3.2 3.6 4.1 4.5 34.7 20.0 3.3 6.6 10.0 13.3 16.6 .0 0.0 0.3 0.7 1.0 1.4 1.7 2.0 2.4 2.7 3.1 28.0 4.6 9.3 14.0 18.6 23.3 .0 0.0 0.5 0.9 1.4 1.9 2.4 2.8 3.3 3.8 4.3 0.8 20.1 3.3 6.7 10.0 13.4 16.7 .1 0.0 0.4 0.7 1.1 1.4 1.7 2.1 2.4 2.8 3.1 0.9 28.1 4.7 9.3 14.0 18.7 23.4 .1 0.0 0.5 1.0 1.5 1.9 2.4 2.9 3.4 3.8 4.3 2.4 0.1 20.2 3.3 6.7 10.1 13.4 16.8 .2 0.1 0.4 0.8 1.1 1.4 1.8 2.1 2.5 2.8 3.1 2.6 0.1 28.2 4.7 9.4 14.1 18.8 23.5 .2 0.1 0.6 1.0 1.5 2.0 2.5 2.9 3.4 3.9 4.4 4.0 0.2 20.3 3.4 6.8 10.1 13.5 16.9 .3 0.1 0.4 0.8 1.1 1.5 1.8 2.2 2.5 2.8 3.2 4.4 0.2 28.3 4.7 9.4 14.1 18.9 23.6 .3 0.1 0.6 1.1 1.6 2.0 2.5 3.0 3.5 3.9 4.4 5.6 0.3 20.4 3.4 6.8 10.2 13.6 17.0 .4 0.1 0.5 0.8 1.2 1.5 1.8 2.2 2.5 2.9 3.2 6.2 0.3 28.4 4.7 9.5 14.2 18.9 23.7 .4 0.2 0.7 1.1 1.6 2.1 2.6 3.0 3.5 4.0 4.5 7.2 0.4 0.4 0.5 7.9 8.8 20.5 3.4 6.8 10.3 13.7 17.1 .5 0.2 0.5 0.9 1.2 1.5 1.9 2.2 2.6 2.9 3.2 0.5 28.5 4.8 9.5 14.3 19.0 23.8 .5 0.2 0.7 1.2 1.7 2.1 2.6 3.1 3.6 4.0 4.5 0.6 9.7 10.4 20.6 3.4 6.9 10.3 13.7 17.2 .6 0.2 0.5 0.9 1.2 1.6 1.9 2.3 2.6 2.9 3.3 0.6 28.6 4.8 9.5 14.3 19.1 23.8 .6 0.3 0.8 1.2 1.7 2.2 2.7 3.1 3.6 4.1 4.6 0.7 11.4 12.0 20.7 3.5 6.9 10.4 13.8 17.3 .7 0.2 0.6 0.9 1.3 1.6 1.9 2.3 2.6 3.0 3.3 0.7 28.7 4.8 9.6 14.4 19.2 23.9 .7 0.3 0.8 1.3 1.8 2.2 2.7 3.2 3.7 4.1 4.6 0.8 13.2 13.6 20.8 3.5 7.0 10.4 13.9 17.4 .8 0.3 0.6 1.0 1.3 1.6 2.0 2.3 2.7 3.0 3.3 0.8 28.8 4.8 9.6 14.4 19.2 24.0 .8 0.4 0.9 1.3 1.8 2.3 2.8 3.2 3.7 4.2 4.7 0.9 14.9 15.2 20.9 3.5 7.0 10.5 14.0 17.5 .9 0.3 0.6 1.0 1.3 1.7 2.0 2.4 2.7 3.0 3.4 0.9 28.9 4.9 9.7 14.5 19.3 24.1 .9 0.4 0.9 1.4 1.9 2.3 2.8 3.3 3.8 4.2 4.7 1.0 16.7 16.8 1.0 1.1 18.5 18.4 21.0 3.5 7.0 10.5 14.0 17.5 .0 0.0 0.4 0.7 1.1 1.4 1.8 2.1 2.5 2.9 3.2 1.1 29.0 4.8 9.6 14.5 19.3 24.1 .0 0.0 0.5 1.0 1.5 2.0 2.5 2.9 3.4 3.9 4.4 1.2 20.2 20.0 21.1 3.5 7.0 10.5 14.0 17.6 .1 0.0 0.4 0.8 1.1 1.5 1.8 2.2 2.5 2.9 3.3 1.2 29.1 4.8 9.7 14.5 19.4 24.2 .1 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 1.3 22.0 21.6 21.2 3.5 7.0 10.6 14.1 17.6 .2 0.1 0.4 0.8 1.1 1.5 1.9 2.2 2.6 2.9 3.3 1.3 29.2 4.8 9.7 14.6 19.4 24.3 .2 0.1 0.6 1.1 1.6 2.1 2.6 3.0 3.5 4.0 4.5 1.4 23.7 23.2 21.3 3.5 7.1 10.6 14.2 17.7 .3 0.1 0.5 0.8 1.2 1.5 1.9 2.3 2.6 3.0 3.3 1.4 29.3 4.9 9.8 14.6 19.5 24.4 .3 0.1 0.6 1.1 1.6 2.1 2.6 3.1 3.6 4.1 4.6 1.5 25.5 24.8 21.4 3.6 7.1 10.7 14.3 17.8 .4 0.1 0.5 0.9 1.2 1.6 1.9 2.3 2.7 3.0 3.4 1.5 29.4 4.9 9.8 14.7 19.6 24.5 .4 0.2 0.7 1.2 1.7 2.2 2.7 3.1 3.6 4.1 4.6 1.6 27.3 26.4 1.6 1.7 21.5 3.6 7.2 10.8 14.3 17.9 .5 0.2 0.5 0.9 1.3 1.6 2.0 2.3 2.7 3.0 3.4 29.0 1.7 29.5 4.9 9.8 14.8 19.7 24.6 .5 0.2 0.7 1.2 1.7 2.2 2.7 3.2 3.7 4.2 4.728.0 1.8 21.6 3.6 7.2 10.8 14.4 18.0 .6 0.2 0.6 0.9 1.3 1.6 2.0 2.4 2.7 3.1 3.4 30.8 1.8 29.6 4.9 9.9 14.8 19.7 24.7 .6 0.3 0.8 1.3 1.8 2.3 2.8 3.2 3.7 4.2 4.729.6 1.9 21.7 3.6 7.3 10.9 14.5 18.1 .7 0.3 0.6 1.0 1.3 1.7 2.0 2.4 2.8 3.1 3.5 32.5 1.9 29.7 5.0 9.9 14.9 19.8 24.8 .7 0.3 0.8 1.3 1.8 2.3 2.8 3.3 3.8 4.3 4.831.2 2.0 21.8 3.7 7.3 10.9 14.6 18.2 .8 0.3 0.6 1.0 1.4 1.7 2.1 2.4 2.8 3.2 3.5 34.3 29.8 5.0 10.0 14.9 19.9 24.9 .8 0.4 0.9 1.4 1.9 2.4 2.9 3.3 3.8 4.3 4.832.8 2.1 21.9 3.7 7.3 11.0 14.6 18.3 .9 0.3 0.7 1.0 1.4 1.8 2.1 2.5 2.8 3.2 3.5 29.9 5.0 10.0 15.0 20.0 25.0 .9 0.4 0.9 1.4 1.9 2.4 2.9 3.4 3.9 4.4 4.934.4 22.0 3.6 7.3 11.0 14.6 18.3 .0 0.0 0.4 0.7 1.1 1.5 1.9 2.2 2.6 3.0 3.4 30.0 5.0 10.0 15.0 20.0 25.0 .0 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.6 4.1 4.6 0.8 22.1 3.7 7.3 11.0 14.7 18.4 .1 0.0 0.4 0.8 1.2 1.5 1.9 2.3 2.7 3.0 3.4 0.8 0.1 30.1 5.0 10.0 15.0 20.0 25.1 .1 0.1 0.6 1.1 1.6 2.1 2.6 3.1 3.6 4.1 4.6 2.4 0.1 22.2 3.7 7.4 11.1 14.8 18.5 .2 0.1 0.4 0.8 1.2 1.6 1.9 2.3 2.7 3.1 3.4 2.5 0.2 30.2 5.0 10.0 15.1 20.1 25.1 .2 0.1 0.6 1.1 1.6 2.1 2.6 3.2 3.7 4.2 4.7 4.0 0.2 22.3 3.7 7.4 11.1 14.9 18.6 .3 0.1 0.5 0.9 1.2 1.6 2.0 2.4 2.7 3.1 3.5 4.2 0.3 30.3 5.0 10.1 15.1 20.2 25.2 .3 0.2 0.7 1.2 1.7 2.2 2.7 3.2 3.7 4.2 4.7 5.6 0.3 22.4 3.7 7.5 11.2 14.9 18.7 .4 0.1 0.5 0.9 1.3 1.6 2.0 2.4 2.8 3.1 3.5 5.9 0.4 30.4 5.1 10.1 15.2 20.3 25.3 .4 0.2 0.7 1.2 1.7 2.2 2.7 3.3 3.8 4.3 4.8 7.2 0.4 7.6 0.5 22.5 3.8 7.5 11.3 15.0 18.8 .5 0.2 0.6 0.9 1.3 1.7 2.1 2.4 2.8 3.2 3.6 9.3 0.5 30.5 5.1 10.2 15.3 20.3 25.4 .5 0.3 0.8 1.3 1.8 2.3 2.8 3.3 3.8 4.3 4.8 8.8 0.6 22.6 3.8 7.5 11.3 15.1 18.8 .6 0.2 0.6 1.0 1.3 1.7 2.1 2.5 2.8 3.2 3.6 11.0 0.6 30.6 5.1 10.2 15.3 20.4 25.5 .6 0.3 0.8 1.3 1.8 2.3 2.8 3.4 3.9 4.4 4.910.4 0.7 22.7 3.8 7.6 11.4 15.2 18.9 .7 0.3 0.6 1.0 1.4 1.8 2.1 2.5 2.9 3.3 3.6 12.7 0.7 30.7 5.1 10.3 15.4 20.5 25.6 .7 0.4 0.9 1.4 1.9 2.4 2.9 3.4 3.9 4.4 4.912.0 0.8 22.8 3.8 7.6 11.4 15.2 19.0 .8 0.3 0.7 1.0 1.4 1.8 2.2 2.5 2.9 3.3 3.7 14.4 0.8 30.8 5.2 10.3 15.4 20.6 25.7 .8 0.4 0.9 1.4 1.9 2.4 2.9 3.5 4.0 4.5 5.013.6 0.9 22.9 3.9 7.7 11.5 15.3 19.1 .9 0.3 0.7 1.1 1.5 1.8 2.2 2.6 3.0 3.3 3.7 16.1 0.9 30.9 5.2 10.3 15.5 20.6 25.8 .9 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.015.2 1.0 1.0 16.8 17.8 1.1 23.0 3.8 7.6 11.5 15.3 19.1 .0 0.0 0.4 0.8 1.2 1.6 2.0 2.3 2.7 3.1 3.5 19.5 1.1 31.0 5.1 10.3 15.5 20.6 25.8 .0 0.0 0.5 1.0 1.6 2.1 2.6 3.1 3.7 4.2 4.718.4 1.2 23.1 3.8 7.7 11.5 15.4 19.2 .1 0.0 0.4 0.8 1.2 1.6 2.0 2.4 2.8 3.2 3.6 21.2 1.2 31.1 5.2 10.3 15.5 20.7 25.9 .1 0.1 0.6 1.1 1.6 2.2 2.7 3.2 3.7 4.3 4.820.0 1.3 23.2 3.8 7.7 11.6 15.4 19.3 .2 0.1 0.5 0.9 1.3 1.6 2.0 2.4 2.8 3.2 3.6 22.8 1.3 31.2 5.2 10.4 15.6 20.8 26.0 .2 0.1 0.6 1.2 1.7 2.2 2.7 3.3 3.8 4.3 4.821.6 1.4 23.3 3.9 7.8 11.6 15.5 19.4 .3 0.1 0.5 0.9 1.3 1.7 2.1 2.5 2.9 3.3 3.6 24.5 1.4 31.3 5.2 10.4 15.6 20.9 26.1 .3 0.2 0.7 1.2 1.7 2.3 2.8 3.3 3.8 4.4 4.923.2 1.5 23.4 3.9 7.8 11.7 15.6 19.5 .4 0.2 0.5 0.9 1.3 1.7 2.1 2.5 2.9 3.3 3.7 26.2 1.5 31.4 5.2 10.5 15.7 20.9 26.2 .4 0.2 0.7 1.3 1.8 2.3 2.8 3.4 3.9 4.4 4.924.8 1.6 1.6 26.4 27.9 1.7 23.5 3.9 7.8 11.8 15.7 19.6 .5 0.2 0.6 1.0 1.4 1.8 2.2 2.5 2.9 3.3 3.7 29.6 1.7 31.5 5.3 10.5 15.8 21.0 26.3 .5 0.3 0.8 1.3 1.8 2.4 2.9 3.4 3.9 4.5 5.028.0 1.8 23.6 3.9 7.9 11.8 15.7 19.7 .6 0.2 0.6 1.0 1.4 1.8 2.2 2.6 3.0 3.4 3.8 31.3 1.8 31.6 5.3 10.5 15.8 21.1 26.3 .6 0.3 0.8 1.4 1.9 2.4 2.9 3.5 4.0 4.5 5.029.6 1.9 23.7 4.0 7.9 11.9 15.8 19.8 .7 0.3 0.7 1.1 1.4 1.8 2.2 2.6 3.0 3.4 3.8 33.0 1.9 31.7 5.3 10.6 15.9 21.2 26.4 .7 0.4 0.9 1.4 1.9 2.5 3.0 3.5 4.0 4.6 5.131.2 2.0 23.8 4.0 8.0 11.9 15.9 19.9 .8 0.3 0.7 1.1 1.5 1.9 2.3 2.7 3.1 3.4 3.8 34.7 2.0 31.8 5.3 10.6 15.9 21.2 26.5 .8 0.4 0.9 1.5 2.0 2.5 3.0 3.6 4.1 4.6 5.132.8 2.1 23.9 4.0 8.0 12.0 16.0 20.0 .9 0.4 0.7 1.1 1.5 1.9 2.3 2.7 3.1 3.5 3.9 31.9 5.4 10.7 16.0 21.3 26.6 .9 0.5 1.0 1.5 2.0 2.6 3.1 3.6 4.1 4.7 5.234.4 10¢ 20¢ 30¢ 40¢ 50¢ 0¢ 1¢ 2¢ 3¢ 4¢ 5¢ 6¢ 7¢ 8¢ 9¢ 10¢ 20¢ 30¢ 40¢ 50¢ 0¢ 1¢ 2¢ 3¢ 4¢ 5¢ 6¢ 7¢ 8¢ 9¢ The Double-Second-Difference correction (Corr.) is always to be added to the tabulated altitude. INTERPOLATION TABLE Altitude Difference (d) Double Altitude Difference (d) Double Second Second Dec. Diff. Dec. Diff. Inc. Tens Dec(cid:223)imals Units and Inc. Tens Deci(cid:223)mals Units and 10¢ 20¢ 30¢ 40¢ 50¢ 0¢ 1¢ 2¢ 3¢ 4¢ 5¢ 6¢ 7¢ 8¢ 9¢ Corr. 10¢ 20¢ 30¢ 40¢ 50¢ 0¢ 1¢ 2¢ 3¢ 4¢ 5¢ 6¢ 7¢ 8¢ 9¢ Corr. ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ 28.0 4.6 9.3 14.0 18.6 23.3 .0 0.0 0.5 0.9 1.4 1.9 2.4 2.8 3.3 3.8 4.3 0.8 36.0 6.0 12.0 18.0 24.0 30.0 .0 0.0 0.6 1.2 1.8 2.4 3.0 3.6 4.3 4.9 5.5 28.1 4.7 9.3 14.0 18.7 23.4 .1 0.0 0.5 1.0 1.5 1.9 2.4 2.9 3.4 3.8 4.3 2.4 0.1 36.1 6.0 12.0 18.0 24.0 30.1 .1 0.1 0.7 1.3 1.9 2.5 3.1 3.7 4.3 4.9 5.5 0.8 0.1 28.2 4.7 9.4 14.1 18.8 23.5 .2 0.1 0.6 1.0 1.5 2.0 2.5 2.9 3.4 3.9 4.4 4.0 0.2 36.2 6.0 12.0 18.1 24.1 30.1 .2 0.1 0.7 1.3 1.9 2.6 3.2 3.8 4.4 5.0 5.6 2.5 0.2 28.3 4.7 9.4 14.1 18.9 23.6 .3 0.1 0.6 1.1 1.6 2.0 2.5 3.0 3.5 3.9 4.4 5.6 0.3 36.3 6.0 12.1 18.1 24.2 30.2 .3 0.2 0.8 1.4 2.0 2.6 3.2 3.8 4.4 5.0 5.7 4.2 0.3 28.4 4.7 9.5 14.2 18.9 23.7 .4 0.2 0.7 1.1 1.6 2.1 2.6 3.0 3.5 4.0 4.5 7.2 0.4 36.4 6.1 12.1 18.2 24.3 30.3 .4 0.2 0.9 1.5 2.1 2.7 3.3 3.9 4.5 5.1 5.7 5.9 0.4 0.5 7.6 28.5 4.8 9.5 14.3 19.0 23.8 .5 0.2 0.7 1.2 1.7 2.1 2.6 3.1 3.6 4.0 4.5 8.8 0.6 36.5 6.1 12.2 18.3 24.3 30.4 .5 0.3 0.9 1.5 2.1 2.7 3.3 4.0 4.6 5.2 5.8 9.3 0.5 28.6 4.8 9.5 14.3 19.1 23.8 .6 0.3 0.8 1.2 1.7 2.2 2.7 3.1 3.6 4.1 4.6 10.4 0.7 36.6 6.1 12.2 18.3 24.4 30.5 .6 0.4 1.0 1.6 2.2 2.8 3.4 4.0 4.6 5.2 5.8 11.0 0.6 28.7 4.8 9.6 14.4 19.2 23.9 .7 0.3 0.8 1.3 1.8 2.2 2.7 3.2 3.7 4.1 4.6 12.0 0.8 36.7 6.1 12.3 18.4 24.5 30.6 .7 0.4 1.0 1.6 2.3 2.9 3.5 4.1 4.7 5.3 5.9 12.7 0.7 28.8 4.8 9.6 14.4 19.2 24.0 .8 0.4 0.9 1.3 1.8 2.3 2.8 3.2 3.7 4.2 4.7 13.6 0.9 36.8 6.2 12.3 18.4 24.6 30.7 .8 0.5 1.1 1.7 2.3 2.9 3.5 4.1 4.7 5.4 6.0 14.4 0.8 28.9 4.9 9.7 14.5 19.3 24.1 .9 0.4 0.9 1.4 1.9 2.3 2.8 3.3 3.8 4.2 4.7 15.2 1.0 36.9 6.2 12.3 18.5 24.6 30.8 .9 0.5 1.2 1.8 2.4 3.0 3.6 4.2 4.8 5.4 6.0 16.1 0.9 16.8 1.0 1.1 17.8 29.0 4.8 9.6 14.5 19.3 24.1 .0 0.0 0.5 1.0 1.5 2.0 2.5 2.9 3.4 3.9 4.4 18.4 1.2 37.0 6.1 12.3 18.5 24.6 30.8 .0 0.0 0.6 1.2 1.9 2.5 3.1 3.7 4.4 5.0 5.6 19.5 1.1 29.1 4.8 9.7 14.5 19.4 24.2 .1 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 20.0 1.3 37.1 6.2 12.3 18.5 24.7 30.9 .1 0.1 0.7 1.3 1.9 2.6 3.2 3.8 4.4 5.1 5.7 21.2 1.2 29.2 4.8 9.7 14.6 19.4 24.3 .2 0.1 0.6 1.1 1.6 2.1 2.6 3.0 3.5 4.0 4.5 21.6 1.4 37.2 6.2 12.4 18.6 24.8 31.0 .2 0.1 0.7 1.4 2.0 2.6 3.2 3.9 4.5 5.1 5.7 22.8 1.3 29.3 4.9 9.8 14.6 19.5 24.4 .3 0.1 0.6 1.1 1.6 2.1 2.6 3.1 3.6 4.1 4.6 23.2 1.5 37.3 6.2 12.4 18.6 24.9 31.1 .3 0.2 0.8 1.4 2.1 2.7 3.3 3.9 4.6 5.2 5.8 24.5 1.4 29.4 4.9 9.8 14.7 19.6 24.5 .4 0.2 0.7 1.2 1.7 2.2 2.7 3.1 3.6 4.1 4.6 24.8 1.6 37.4 6.2 12.5 18.7 24.9 31.2 .4 0.2 0.9 1.5 2.1 2.7 3.4 4.0 4.6 5.2 5.9 26.2 1.5 26.4 1.6 1.7 27.9 29.5 4.9 9.8 14.8 19.7 24.6 .5 0.2 0.7 1.2 1.7 2.2 2.7 3.2 3.7 4.2 4.7 28.0 1.8 37.5 6.3 12.5 18.8 25.0 31.3 .5 0.3 0.9 1.6 2.2 2.8 3.4 4.1 4.7 5.3 5.9 29.6 1.7 29.6 4.9 9.9 14.8 19.7 24.7 .6 0.3 0.8 1.3 1.8 2.3 2.8 3.2 3.7 4.2 4.7 29.6 1.9 37.6 6.3 12.5 18.8 25.1 31.3 .6 0.4 1.0 1.6 2.2 2.9 3.5 4.1 4.7 5.4 6.0 31.3 1.8 29.7 5.0 9.9 14.9 19.8 24.8 .7 0.3 0.8 1.3 1.8 2.3 2.8 3.3 3.8 4.3 4.8 31.2 2.0 37.7 6.3 12.6 18.9 25.2 31.4 .7 0.4 1.1 1.7 2.3 2.9 3.6 4.2 4.8 5.4 6.1 33.0 1.9 29.8 5.0 10.0 14.9 19.9 24.9 .8 0.4 0.9 1.4 1.9 2.4 2.9 3.3 3.8 4.3 4.8 32.8 2.1 37.8 6.3 12.6 18.9 25.2 31.5 .8 0.5 1.1 1.7 2.4 3.0 3.6 4.2 4.9 5.5 6.1 34.7 2.0 29.9 5.0 10.0 15.0 20.0 25.0 .9 0.4 0.9 1.4 1.9 2.4 2.9 3.4 3.9 4.4 4.9 34.4 37.9 6.4 12.7 19.0 25.3 31.6 .9 0.6 1.2 1.8 2.4 3.1 3.7 4.3 4.9 5.6 6.2 30.0 5.0 10.0 15.0 20.0 25.0 .0 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.6 4.1 4.6 0.8 38.0 6.3 12.6 19.0 25.3 31.6 .0 0.0 0.6 1.3 1.9 2.6 3.2 3.8 4.5 5.1 5.8 30.1 5.0 10.0 15.0 20.0 25.1 .1 0.1 0.6 1.1 1.6 2.1 2.6 3.1 3.6 4.1 4.6 2.4 0.1 38.1 6.3 12.7 19.0 25.4 31.7 .1 0.1 0.7 1.3 2.0 2.6 3.3 3.9 4.6 5.2 5.8 0.9 30.2 5.0 10.0 15.1 20.1 25.1 .2 0.1 0.6 1.1 1.6 2.1 2.6 3.2 3.7 4.2 4.7 4.0 0.2 38.2 6.3 12.7 19.1 25.4 31.8 .2 0.1 0.8 1.4 2.1 2.7 3.3 4.0 4.6 5.3 5.9 2.6 0.1 30.3 5.0 10.1 15.1 20.2 25.2 .3 0.2 0.7 1.2 1.7 2.2 2.7 3.2 3.7 4.2 4.7 5.6 0.3 38.3 6.4 12.8 19.1 25.5 31.9 .3 0.2 0.8 1.5 2.1 2.8 3.4 4.0 4.7 5.3 6.0 4.4 0.2 30.4 5.1 10.1 15.2 20.3 25.3 .4 0.2 0.7 1.2 1.7 2.2 2.7 3.3 3.8 4.3 4.8 7.2 0.4 38.4 6.4 12.8 19.2 25.6 32.0 .4 0.3 0.9 1.5 2.2 2.8 3.5 4.1 4.7 5.4 6.0 6.2 0.3 0.5 0.4 8.8 7.9 30.5 5.1 10.2 15.3 20.3 25.4 .5 0.3 0.8 1.3 1.8 2.3 2.8 3.3 3.8 4.3 4.8 0.6 38.5 6.4 12.8 19.3 25.7 32.1 .5 0.3 1.0 1.6 2.2 2.9 3.5 4.2 4.8 5.5 6.1 0.5 10.4 9.7 30.6 5.1 10.2 15.3 20.4 25.5 .6 0.3 0.8 1.3 1.8 2.3 2.8 3.4 3.9 4.4 4.9 0.7 38.6 6.4 12.9 19.3 25.7 32.2 .6 0.4 1.0 1.7 2.3 3.0 3.6 4.2 4.9 5.5 6.2 0.6 12.0 11.4 30.7 5.1 10.3 15.4 20.5 25.6 .7 0.4 0.9 1.4 1.9 2.4 2.9 3.4 3.9 4.4 4.9 0.8 38.7 6.5 12.9 19.4 25.8 32.3 .7 0.4 1.1 1.7 2.4 3.0 3.7 4.3 4.9 5.6 6.2 0.7 13.6 13.2 30.8 5.2 10.3 15.4 20.6 25.7 .8 0.4 0.9 1.4 1.9 2.4 2.9 3.5 4.0 4.5 5.0 0.9 38.8 6.5 13.0 19.4 25.9 32.4 .8 0.5 1.2 1.8 2.4 3.1 3.7 4.4 5.0 5.6 6.3 0.8 15.2 14.9 30.9 5.2 10.3 15.5 20.6 25.8 .9 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 1.0 38.9 6.5 13.0 19.5 26.0 32.5 .9 0.6 1.2 1.9 2.5 3.1 3.8 4.4 5.1 5.7 6.4 0.9 16.8 16.7 1.1 1.0 18.4 18.5 31.0 5.1 10.3 15.5 20.6 25.8 .0 0.0 0.5 1.0 1.6 2.1 2.6 3.1 3.7 4.2 4.7 1.2 39.0 6.5 13.0 19.5 26.0 32.5 .0 0.0 0.7 1.3 2.0 2.6 3.3 3.9 4.6 5.3 5.9 1.1 20.0 20.2 31.1 5.2 10.3 15.5 20.7 25.9 .1 0.1 0.6 1.1 1.6 2.2 2.7 3.2 3.7 4.3 4.8 1.3 39.1 6.5 13.0 19.5 26.0 32.6 .1 0.1 0.7 1.4 2.0 2.7 3.4 4.0 4.7 5.3 6.0 1.2 21.6 22.0 31.2 5.2 10.4 15.6 20.8 26.0 .2 0.1 0.6 1.2 1.7 2.2 2.7 3.3 3.8 4.3 4.8 1.4 39.2 6.5 13.0 19.6 26.1 32.6 .2 0.1 0.8 1.4 2.1 2.8 3.4 4.1 4.7 5.4 6.1 1.3 23.2 23.7 31.3 5.2 10.4 15.6 20.9 26.1 .3 0.2 0.7 1.2 1.7 2.3 2.8 3.3 3.8 4.4 4.9 1.5 39.3 6.5 13.1 19.6 26.2 32.7 .3 0.2 0.9 1.5 2.2 2.8 3.5 4.1 4.8 5.5 6.1 1.4 24.8 25.5 31.4 5.2 10.5 15.7 20.9 26.2 .4 0.2 0.7 1.3 1.8 2.3 2.8 3.4 3.9 4.4 4.9 1.6 39.4 6.6 13.1 19.7 26.3 32.8 .4 0.3 0.9 1.6 2.2 2.9 3.6 4.2 4.9 5.5 6.2 1.5 26.4 27.3 1.7 1.6 31.5 5.3 10.5 15.8 21.0 26.3 .5 0.3 0.8 1.3 1.8 2.4 2.9 3.4 3.9 4.5 5.0 28.0 1.8 39.5 6.6 13.2 19.8 26.3 32.9 .5 0.3 1.0 1.6 2.3 3.0 3.6 4.3 4.9 5.6 6.3 29.0 1.7 31.6 5.3 10.5 15.8 21.1 26.3 .6 0.3 0.8 1.4 1.9 2.4 2.9 3.5 4.0 4.5 5.0 29.6 1.9 39.6 6.6 13.2 19.8 26.4 33.0 .6 0.4 1.1 1.7 2.4 3.0 3.7 4.3 5.0 5.7 6.3 30.8 1.8 31.7 5.3 10.6 15.9 21.2 26.4 .7 0.4 0.9 1.4 1.9 2.5 3.0 3.5 4.0 4.6 5.1 31.2 2.0 39.7 6.6 13.3 19.9 26.5 33.1 .7 0.5 1.1 1.8 2.4 3.1 3.8 4.4 5.1 5.7 6.4 32.5 1.9 31.8 5.3 10.6 15.9 21.2 26.5 .8 0.4 0.9 1.5 2.0 2.5 3.0 3.6 4.1 4.6 5.1 32.8 2.1 39.8 6.7 13.3 19.9 26.6 33.2 .8 0.5 1.2 1.8 2.5 3.2 3.8 4.5 5.1 5.8 6.5 34.3 31.9 5.4 10.7 16.0 21.3 26.6 .9 0.5 1.0 1.5 2.0 2.6 3.1 3.6 4.1 4.7 5.2 34.4 39.9 6.7 13.3 20.0 26.6 33.3 .9 0.6 1.3 1.9 2.6 3.2 3.9 4.5 5.2 5.9 6.5 32.0 5.3 10.6 16.0 21.3 26.6 .0 0.0 0.5 1.1 1.6 2.2 2.7 3.2 3.8 4.3 4.9 0.8 40.0 6.6 13.3 20.0 26.6 33.3 .0 0.0 0.7 1.3 2.0 2.7 3.4 4.0 4.7 5.4 6.1 32.1 5.3 10.7 16.0 21.4 26.7 .1 0.1 0.6 1.1 1.7 2.2 2.8 3.3 3.8 4.4 4.9 2.4 0.1 40.1 6.7 13.3 20.0 26.7 33.4 .1 0.1 0.7 1.4 2.1 2.8 3.4 4.1 4.8 5.5 6.1 32.2 5.3 10.7 16.1 21.4 26.8 .2 0.1 0.6 1.2 1.7 2.3 2.8 3.4 3.9 4.4 5.0 4.0 0.2 40.2 6.7 13.4 20.1 26.8 33.5 .2 0.1 0.8 1.5 2.2 2.8 3.5 4.2 4.9 5.5 6.2 0.9 0.1 32.3 5.4 10.8 16.1 21.5 26.9 .3 0.2 0.7 1.2 1.8 2.3 2.9 3.4 4.0 4.5 5.0 5.7 0.3 40.3 6.7 13.4 20.1 26.9 33.6 .3 0.2 0.9 1.6 2.2 2.9 3.6 4.3 4.9 5.6 6.3 2.8 0.2 32.4 5.4 10.8 16.2 21.6 27.0 .4 0.2 0.8 1.3 1.8 2.4 2.9 3.5 4.0 4.5 5.1 7.3 0.4 40.4 6.7 13.5 20.2 26.9 33.7 .4 0.3 0.9 1.6 2.3 3.0 3.6 4.3 5.0 5.7 6.3 4.6 0.3 0.5 6.5 32.5 5.4 10.8 16.3 21.7 27.1 .5 0.3 0.8 1.4 1.9 2.4 3.0 3.5 4.1 4.6 5.1 8.9 0.6 40.5 6.8 13.5 20.3 27.0 33.8 .5 0.3 1.0 1.7 2.4 3.0 3.7 4.4 5.1 5.7 6.4 8.3 0.4 32.6 5.4 10.9 16.3 21.7 27.2 .6 0.3 0.9 1.4 1.9 2.5 3.0 3.6 4.1 4.7 5.2 10.5 0.7 40.6 6.8 13.5 20.3 27.1 33.8 .6 0.4 1.1 1.8 2.4 3.1 3.8 4.5 5.1 5.8 6.5 10.2 0.5 32.7 5.5 10.9 16.4 21.8 27.3 .7 0.4 0.9 1.5 2.0 2.5 3.1 3.6 4.2 4.7 5.3 12.1 0.8 40.7 6.8 13.6 20.4 27.2 33.9 .7 0.5 1.1 1.8 2.5 3.2 3.8 4.5 5.2 5.9 6.5 12.0 0.6 32.8 5.5 11.0 16.4 21.9 27.4 .8 0.4 1.0 1.5 2.1 2.6 3.1 3.7 4.2 4.8 5.3 13.7 0.9 40.8 6.8 13.6 20.4 27.2 34.0 .8 0.5 1.2 1.9 2.6 3.2 3.9 4.6 5.3 5.9 6.6 13.9 0.7 32.9 5.5 11.0 16.5 22.0 27.5 .9 0.5 1.0 1.6 2.1 2.7 3.2 3.7 4.3 4.8 5.4 15.4 1.0 40.9 6.9 13.7 20.5 27.3 34.1 .9 0.6 1.3 2.0 2.6 3.3 4.0 4.7 5.3 6.0 6.7 15.7 0.8 17.0 0.9 1.1 17.6 33.0 5.5 11.0 16.5 22.0 27.5 .0 0.0 0.6 1.1 1.7 2.2 2.8 3.3 3.9 4.5 5.0 18.6 1.2 41.0 6.8 13.6 20.5 27.3 34.1 .0 0.0 0.7 1.4 2.1 2.8 3.5 4.1 4.8 5.5 6.2 19.4 1.0 33.1 5.5 11.0 16.5 22.0 27.6 .1 0.1 0.6 1.2 1.7 2.3 2.8 3.4 4.0 4.5 5.1 20.2 1.3 41.1 6.8 13.7 20.5 27.4 34.2 .1 0.1 0.8 1.5 2.1 2.8 3.5 4.2 4.9 5.6 6.3 21.3 1.1 33.2 5.5 11.0 16.6 22.1 27.6 .2 0.1 0.7 1.2 1.8 2.3 2.9 3.5 4.0 4.6 5.1 21.8 1.4 41.2 6.8 13.7 20.6 27.4 34.3 .2 0.1 0.8 1.5 2.2 2.9 3.6 4.3 5.0 5.7 6.4 23.1 1.2 33.3 5.5 11.1 16.6 22.2 27.7 .3 0.2 0.7 1.3 1.8 2.4 3.0 3.5 4.1 4.6 5.2 23.4 1.5 41.3 6.9 13.8 20.6 27.5 34.4 .3 0.2 0.9 1.6 2.3 3.0 3.7 4.4 5.0 5.7 6.4 25.0 1.3 33.4 5.6 11.1 16.7 22.3 27.8 .4 0.2 0.8 1.3 1.9 2.5 3.0 3.6 4.1 4.7 5.2 25.1 1.6 41.4 6.9 13.8 20.7 27.6 34.5 .4 0.3 1.0 1.7 2.4 3.0 3.7 4.4 5.1 5.8 6.5 26.8 1.4 26.7 1.5 1.7 28.7 33.5 5.6 11.2 16.8 22.3 27.9 .5 0.3 0.8 1.4 2.0 2.5 3.1 3.6 4.2 4.7 5.3 28.3 1.8 41.5 6.9 13.8 20.8 27.7 34.6 .5 0.3 1.0 1.7 2.4 3.1 3.8 4.5 5.2 5.9 6.6 30.5 1.6 33.6 5.6 11.2 16.8 22.4 28.0 .6 0.3 0.9 1.5 2.0 2.6 3.1 3.7 4.2 4.8 5.4 29.9 1.9 41.6 6.9 13.9 20.8 27.7 34.7 .6 0.4 1.1 1.8 2.5 3.2 3.9 4.6 5.3 5.9 6.6 32.3 1.7 33.7 5.6 11.3 16.9 22.5 28.1 .7 0.4 0.9 1.5 2.1 2.6 3.2 3.7 4.3 4.9 5.4 31.5 2.0 41.7 7.0 13.9 20.9 27.8 34.8 .7 0.5 1.2 1.9 2.6 3.3 3.9 4.6 5.3 6.0 6.7 34.2 1.8 33.8 5.7 11.3 16.9 22.6 28.2 .8 0.4 1.0 1.6 2.1 2.7 3.2 3.8 4.4 4.9 5.5 33.1 2.1 41.8 7.0 14.0 20.9 27.9 34.9 .8 0.6 1.2 1.9 2.6 3.3 4.0 4.7 5.4 6.1 6.8 33.9 5.7 11.3 17.0 22.6 28.3 .9 0.5 1.1 1.6 2.2 2.7 3.3 3.9 4.4 5.0 5.5 34.7 41.9 7.0 14.0 21.0 28.0 35.0 .9 0.6 1.3 2.0 2.7 3.4 4.1 4.8 5.5 6.2 6.8 34.0 5.6 11.3 17.0 22.6 28.3 .0 0.0 0.6 1.1 1.7 2.3 2.9 3.4 4.0 4.6 5.2 0.8 42.0 7.0 14.0 21.0 28.0 35.0 .0 0.0 0.7 1.4 2.1 2.8 3.5 4.2 5.0 5.7 6.4 34.1 5.7 11.3 17.0 22.7 28.4 .1 0.1 0.6 1.2 1.8 2.4 2.9 3.5 4.1 4.7 5.2 2.5 0.1 42.1 7.0 14.0 21.0 28.0 35.1 .1 0.1 0.8 1.5 2.2 2.9 3.6 4.3 5.0 5.7 6.4 34.2 5.7 11.4 17.1 22.8 28.5 .2 0.1 0.7 1.3 1.8 2.4 3.0 3.6 4.1 4.7 5.3 4.1 0.2 42.2 7.0 14.0 21.1 28.1 35.1 .2 0.1 0.8 1.6 2.3 3.0 3.7 4.4 5.1 5.8 6.5 1.0 34.3 5.7 11.4 17.1 22.9 28.6 .3 0.2 0.7 1.3 1.9 2.5 3.0 3.6 4.2 4.8 5.3 5.8 0.3 42.3 7.0 14.1 21.1 28.2 35.2 .3 0.2 0.9 1.6 2.3 3.0 3.8 4.5 5.2 5.9 6.6 3.0 0.1 34.4 5.7 11.5 17.2 22.9 28.7 .4 0.2 0.8 1.4 2.0 2.5 3.1 3.7 4.3 4.8 5.4 7.4 0.4 42.4 7.1 14.1 21.2 28.3 35.3 .4 0.3 1.0 1.7 2.4 3.1 3.8 4.5 5.2 5.9 6.7 4.9 0.2 9.1 0.5 6.9 0.3 34.5 5.8 11.5 17.3 23.0 28.8 .5 0.3 0.9 1.4 2.0 2.6 3.2 3.7 4.3 4.9 5.5 10.7 0.6 42.5 7.1 14.2 21.3 28.3 35.4 .5 0.4 1.1 1.8 2.5 3.2 3.9 4.6 5.3 6.0 6.7 8.9 0.4 34.6 5.8 11.5 17.3 23.1 28.8 .6 0.3 0.9 1.5 2.1 2.6 3.2 3.8 4.4 4.9 5.5 12.3 0.7 42.6 7.1 14.2 21.3 28.4 35.5 .6 0.4 1.1 1.8 2.5 3.3 4.0 4.7 5.4 6.1 6.8 10.8 0.5 34.7 5.8 11.6 17.4 23.2 28.9 .7 0.4 1.0 1.6 2.1 2.7 3.3 3.9 4.4 5.0 5.6 14.0 0.8 42.7 7.1 14.3 21.4 28.5 35.6 .7 0.5 1.2 1.9 2.6 3.3 4.0 4.7 5.5 6.2 6.9 12.8 0.6 34.8 5.8 11.6 17.4 23.2 29.0 .8 0.5 1.0 1.6 2.2 2.8 3.3 3.9 4.5 5.1 5.6 15.6 0.9 42.8 7.2 14.3 21.4 28.6 35.7 .8 0.6 1.3 2.0 2.7 3.4 4.1 4.8 5.5 6.2 6.9 14.8 0.7 34.9 5.9 11.7 17.5 23.3 29.1 .9 0.5 1.1 1.7 2.2 2.8 3.4 4.0 4.5 5.1 5.7 1.0 42.9 7.2 14.3 21.5 28.6 35.8 .9 0.6 1.3 2.1 2.8 3.5 4.2 4.9 5.6 6.3 7.0 0.8 17.3 16.7 1.1 0.9 18.9 18.7 35.0 5.8 11.6 17.5 23.3 29.1 .0 0.0 0.6 1.2 1.8 2.4 3.0 3.5 4.1 4.7 5.3 1.2 43.0 7.1 14.3 21.5 28.6 35.8 .0 0.0 0.7 1.4 2.2 2.9 3.6 4.3 5.1 5.8 6.5 1.0 20.6 20.7 35.1 5.8 11.7 17.5 23.4 29.2 .1 0.1 0.7 1.2 1.8 2.4 3.0 3.6 4.2 4.8 5.4 1.3 43.1 7.2 14.3 21.5 28.7 35.9 .1 0.1 0.8 1.5 2.2 3.0 3.7 4.4 5.1 5.9 6.6 1.1 22.2 22.7 35.2 5.8 11.7 17.6 23.4 29.3 .2 0.1 0.7 1.3 1.9 2.5 3.1 3.7 4.3 4.9 5.4 1.4 43.2 7.2 14.4 21.6 28.8 36.0 .2 0.1 0.9 1.6 2.3 3.0 3.8 4.5 5.2 5.9 6.7 1.2 23.9 24.6 35.3 5.9 11.8 17.6 23.5 29.4 .3 0.2 0.8 1.4 2.0 2.5 3.1 3.7 4.3 4.9 5.5 1.5 43.3 7.2 14.4 21.6 28.9 36.1 .3 0.2 0.9 1.7 2.4 3.1 3.8 4.6 5.3 6.0 6.7 1.3 35.4 5.9 11.8 17.7 23.6 29.5 .4 0.2 0.8 1.4 2.0 2.6 3.2 3.8 4.4 5.0 5.6 25.5 1.6 43.4 7.2 14.5 21.7 28.9 36.2 .4 0.3 1.0 1.7 2.5 3.2 3.9 4.6 5.4 6.1 6.8 26.6 1.4 27.2 1.7 28.6 1.5 35.5 5.9 11.8 17.8 23.7 29.6 .5 0.3 0.9 1.5 2.1 2.7 3.3 3.8 4.4 5.0 5.6 28.8 1.8 43.5 7.3 14.5 21.8 29.0 36.3 .5 0.4 1.1 1.8 2.5 3.3 4.0 4.7 5.4 6.2 6.9 30.5 1.6 35.6 5.9 11.9 17.8 23.7 29.7 .6 0.4 0.9 1.5 2.1 2.7 3.3 3.9 4.5 5.1 5.7 30.4 1.9 43.6 7.3 14.5 21.8 29.1 36.3 .6 0.4 1.2 1.9 2.6 3.3 4.1 4.8 5.5 6.2 7.0 32.5 1.7 35.7 6.0 11.9 17.9 23.8 29.8 .7 0.4 1.0 1.6 2.2 2.8 3.4 4.0 4.6 5.1 5.7 32.1 2.0 43.7 7.3 14.6 21.9 29.2 36.4 .7 0.5 1.2 2.0 2.7 3.4 4.1 4.9 5.6 6.3 7.0 34.5 35.8 6.0 12.0 17.9 23.9 29.9 .8 0.5 1.1 1.7 2.2 2.8 3.4 4.0 4.6 5.2 5.8 33.7 2.1 43.8 7.3 14.6 21.9 29.2 36.5 .8 0.6 1.3 2.0 2.8 3.5 4.2 4.9 5.7 6.4 7.1 35.9 6.0 12.0 18.0 24.0 30.0 .9 0.5 1.1 1.7 2.3 2.9 3.5 4.1 4.7 5.3 5.9 35.4 43.9 7.4 14.7 22.0 29.3 36.6 .9 0.7 1.4 2.1 2.8 3.6 4.3 5.0 5.7 6.5 7.2 10¢ 20¢ 30¢ 40¢ 50¢ 0¢ 1¢ 2¢ 3¢ 4¢ 5¢ 6¢ 7¢ 8¢ 9¢ 10¢ 20¢ 30¢ 40¢ 50¢ 0¢ 1¢ 2¢ 3¢ 4¢ 5¢ 6¢ 7¢ 8¢ 9¢ The Double-Second-Difference correction (Corr.) is always to be added to the tabulated altitude. INTERPOLATION TABLE Altitude Difference (d) Double Altitude Difference (d) Double Second Second Dec. Diff. Dec. Diff. Inc. Tens Dec(cid:223)imals Units and Inc. Tens Deci(cid:223)mals Units and 10¢ 20¢ 30¢ 40¢ 50¢ 0¢ 1¢ 2¢ 3¢ 4¢ 5¢ 6¢ 7¢ 8¢ 9¢ Corr. 10¢ 20¢ 30¢ 40¢ 50¢ 0¢ 1¢ 2¢ 3¢ 4¢ 5¢ 6¢ 7¢ 8¢ 9¢ Corr. ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ ¢ 44.0 7.3 14.6 22.0 29.3 36.6 .0 0.0 0.7 1.5 2.2 3.0 3.7 4.4 5.2 5.9 6.7 52.0 8.6 17.3 26.0 34.6 43.3 .0 0.0 0.9 1.7 2.6 3.5 4.4 5.2 6.1 7.0 7.9 1.8 44.1 7.3 14.7 22.0 29.4 36.7 .1 0.1 0.8 1.6 2.3 3.0 3.8 4.5 5.3 6.0 6.7 52.1 8.7 17.3 26.0 34.7 43.4 .1 0.1 1.0 1.8 2.7 3.6 4.5 5.3 6.2 7.1 8.0 0.1 5.5 44.2 7.3 14.7 22.1 29.4 36.8 .2 0.1 0.9 1.6 2.4 3.1 3.9 4.6 5.3 6.1 6.8 1.1 52.2 8.7 17.4 26.1 34.8 43.5 .2 0.2 1.0 1.9 2.8 3.7 4.5 5.4 6.3 7.2 8.0 9.1 0.2 44.3 7.4 14.8 22.1 29.5 36.9 .3 0.2 1.0 1.7 2.4 3.2 3.9 4.7 5.4 6.2 6.9 3.2 0.1 52.3 8.7 17.4 26.1 34.9 43.6 .3 0.3 1.1 2.0 2.9 3.8 4.6 5.5 6.4 7.3 8.112.8 0.3 44.4 7.4 14.8 22.2 29.6 37.0 .4 0.3 1.0 1.8 2.5 3.3 4.0 4.7 5.5 6.2 7.0 5.3 0.2 52.4 8.7 17.5 26.2 34.9 43.7 .4 0.3 1.2 2.1 3.0 3.8 4.7 5.6 6.5 7.3 8.216.5 0.4 4444444444.....56789 77777.....44555 1111144455.....89900 2222222222.....33445 2222399990.....77890 3333377777.....12345 .....56789 00000.....44567 11111.....12334 11222.....99012 22222.....67789 33333.....34566 44444.....12234 44555.....89001 55555.....66789 66666.....34556 77777.....0123311179136..56...790 000000......345678 5555522222.....56789 88888.....88889 1111177777.....55667 2222266666.....33445 3333355555.....01223 4444433344.....88901 .....56789 00000.....45678 11111.....34567 22222.....23445 33333.....11234 34444.....90123 44555.....89012 55556.....78990 66666.....66789 77777.....45678 88888.....345672223303714.....18417 00000.....56789 18.1 0.9 20.3 45.0 7.5 15.0 22.5 30.0 37.5 .0 0.0 0.8 1.5 2.3 3.0 3.8 4.5 5.3 6.1 6.8 1.0 53.0 8.8 17.6 26.5 35.3 44.1 .0 0.0 0.9 1.8 2.7 3.6 4.5 5.3 6.2 7.1 8.0 444444555555......123456 777777......555666 111111555555......001122 222222222222......566788 333333000000......012334 333333777778......667890 ......123456 000000......122345 001111......890112 111112......677890 222222......445677 333333......123345 334444......990122 444445......678990 555555......455678 666666......123445 677777......90112322223332468035.......4578912 111111......123456 555555333333......123456 888888......889999 111111777777......778889 222222666666......566788 333333555555......445677 444444444444......234567 ......123456 000000......123445 111111......012234 122222......901123 222333......899012 333344......778901 444445......567890 555555......456789 666666......345678 777777......234567 888888......123456111222604826.......1245689 000000......123456 45.7 7.6 15.3 22.9 30.5 38.1 .7 0.5 1.3 2.0 2.8 3.6 4.3 5.1 5.8 6.6 7.4 53.7 9.0 17.9 26.9 35.8 44.8 .7 0.6 1.5 2.4 3.3 4.2 5.1 6.0 6.9 7.8 8.631.1 0.7 45.8 7.7 15.3 22.9 30.6 38.2 .8 0.6 1.4 2.1 2.9 3.6 4.4 5.2 5.9 6.7 7.4 53.8 9.0 18.0 26.9 35.9 44.9 .8 0.7 1.6 2.5 3.4 4.3 5.2 6.1 7.0 7.8 8.735.2 0.8 45.9 7.7 15.3 23.0 30.6 38.3 .9 0.7 1.4 2.2 3.0 3.7 4.5 5.2 6.0 6.7 7.5 53.9 9.0 18.0 27.0 36.0 45.0 .9 0.8 1.7 2.6 3.5 4.4 5.3 6.2 7.0 7.9 8.8 46.0 7.6 15.3 23.0 30.6 38.3 .0 0.0 0.8 1.5 2.3 3.1 3.9 4.6 5.4 6.2 7.0 54.0 9.0 18.0 27.0 36.0 45.0 .0 0.0 0.9 1.8 2.7 3.6 4.5 5.4 6.4 7.3 8.2 1.2 46.1 7.7 15.3 23.0 30.7 38.4 .1 0.1 0.9 1.6 2.4 3.2 4.0 4.7 5.5 6.3 7.1 0.1 54.1 9.0 18.0 27.0 36.0 45.1 .1 0.1 1.0 1.9 2.8 3.7 4.6 5.5 6.4 7.4 8.3 3.5 2.4 46.2 7.7 15.4 23.1 30.8 38.5 .2 0.2 0.9 1.7 2.5 3.3 4.0 4.8 5.6 6.4 7.1 0.2 54.2 9.0 18.0 27.1 36.1 45.1 .2 0.2 1.1 2.0 2.9 3.8 4.7 5.6 6.5 7.4 8.4 0.1 5.8 7.2 46.3 7.7 15.4 23.1 30.9 38.6 .3 0.2 1.0 1.8 2.6 3.3 4.1 4.9 5.7 6.4 7.2 0.3 54.3 9.0 18.1 27.1 36.2 45.2 .3 0.3 1.2 2.1 3.0 3.9 4.8 5.7 6.6 7.5 8.4 0.2 8.1 12.0 46.4 7.7 15.5 23.2 30.9 38.7 .4 0.3 1.1 1.9 2.6 3.4 4.2 5.0 5.7 6.5 7.3 0.4 54.4 9.1 18.1 27.2 36.3 45.3 .4 0.4 1.3 2.2 3.1 4.0 4.9 5.8 6.7 7.6 8.5 0.3 10.5 16.8 0.5 0.4 46.5 7.8 15.5 23.3 31.0 38.8 .5 0.4 1.2 1.9 2.7 3.5 4.3 5.0 5.8 6.6 7.412.8 0.6 54.5 9.1 18.2 27.3 36.3 45.4 .5 0.5 1.4 2.3 3.2 4.1 5.0 5.9 6.8 7.7 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25.3 33.7 42.1 .5 0.4 1.3 2.1 2.9 3.8 4.6 5.5 6.3 7.2 8.0 58.5 9.8 19.5 29.3 39.0 48.8 .5 0.5 1.5 2.4 3.4 4.4 5.4 6.3 7.3 8.3 9.341.0 0.2 50.6 8.4 16.9 25.3 33.7 42.2 .6 0.5 1.3 2.2 3.0 3.9 4.7 5.6 6.4 7.2 8.1 58.6 9.8 19.5 29.3 39.1 48.8 .6 0.6 1.6 2.5 3.5 4.5 5.5 6.4 7.4 8.4 9.4 50.7 8.5 16.9 25.4 33.8 42.3 .7 0.6 1.4 2.3 3.1 4.0 4.8 5.6 6.5 7.3 8.2 58.7 9.8 19.6 29.4 39.2 48.9 .7 0.7 1.7 2.6 3.6 4.6 5.6 6.5 7.5 8.5 9.5 1.6 50.8 8.5 17.0 25.4 33.9 42.4 .8 0.7 1.5 2.4 3.2 4.0 4.9 5.7 6.6 7.4 8.2 0.1 58.8 9.8 19.6 29.4 39.2 49.0 .8 0.8 1.8 2.7 3.7 4.7 5.7 6.6 7.6 8.6 9.6 4.8 50.9 8.5 17.0 25.5 34.0 42.5 .9 0.8 1.6 2.4 3.3 4.1 5.0 5.8 6.6 7.5 8.3 0.2 58.9 9.9 19.7 29.5 39.3 49.1 .9 0.9 1.9 2.8 3.8 4.8 5.8 6.7 7.7 8.7 9.7 8.0 0.3 11.2 51.0 8.5 17.0 25.5 34.0 42.5 .0 0.0 0.9 1.7 2.6 3.4 4.3 5.1 6.0 6.9 7.7 0.4 59.0 9.8 19.6 29.5 39.3 49.1 .0 0.0 1.0 2.0 3.0 4.0 5.0 5.9 6.9 7.9 8.9 14.5 51.1 8.5 17.0 25.5 34.0 42.6 .1 0.1 0.9 1.8 2.7 3.5 4.4 5.2 6.1 7.0 7.8 0.5 59.1 9.8 19.7 29.5 39.4 49.2 .1 0.1 1.1 2.1 3.1 4.1 5.1 6.0 7.0 8.0 9.0 17.7 16.2 51.2 8.5 17.0 25.6 34.1 42.6 .2 0.2 1.0 1.9 2.7 3.6 4.5 5.3 6.2 7.0 7.920.9 0.6 59.2 9.8 19.7 29.6 39.4 49.3 .2 0.2 1.2 2.2 3.2 4.2 5.2 6.1 7.1 8.1 9.148.6 0.1 51.3 8.5 17.1 25.6 34.2 42.7 .3 0.3 1.1 2.0 2.8 3.7 4.5 5.4 6.3 7.1 8.0 0.7 59.3 9.9 19.8 29.6 39.5 49.4 .3 0.3 1.3 2.3 3.3 4.3 5.3 6.2 7.2 8.2 9.2 24.1 51.4 8.6 17.1 25.7 34.3 42.8 .4 0.3 1.2 2.1 2.9 3.8 4.6 5.5 6.4 7.2 8.1 0.8 59.4 9.9 19.8 29.7 39.6 49.5 .4 0.4 1.4 2.4 3.4 4.4 5.4 6.3 7.3 8.3 9.3 27.3 0.9 51.5 8.6 17.2 25.8 34.3 42.9 .5 0.4 1.3 2.1 3.0 3.9 4.7 5.6 6.4 7.3 8.230.5 1.0 59.5 9.9 19.8 29.8 39.7 49.6 .5 0.5 1.5 2.5 3.5 4.5 5.5 6.4 7.4 8.4 9.4 5511..67 88..66 1177..23 2255..89 3344..45 4433..01 ..67 00..56 11..45 22..23 33..12 34..90 44..89 55..78 66..56 77..45 88..233336..79 1.1 5599..67 190.9.0 1199..99 2299..98 3399..87 4499..87 ..67 00..67 11..67 22..67 33..67 44..67 55..67 66..56 77..56 88..56 99..56 0.0 0.0 48.2 51.8 8.7 17.3 25.9 34.6 43.2 .8 0.7 1.5 2.4 3.3 4.1 5.0 5.8 6.7 7.6 8.4 59.8 10.0 20.0 29.9 39.9 49.9 .8 0.8 1.8 2.8 3.8 4.8 5.8 6.7 7.7 8.7 9.7 51.9 8.7 17.3 26.0 34.6 43.3 .9 0.8 1.6 2.5 3.3 4.2 5.1 5.9 6.8 7.6 8.5 59.9 10.0 20.0 30.0 40.0 50.0 .9 0.9 1.9 2.9 3.9 4.9 5.9 6.8 7.8 8.8 9.8 10¢ 20¢ 30¢ 40¢ 50¢ 0¢ 1¢ 2¢ 3¢ 4¢ 5¢ 6¢ 7¢ 8¢ 9¢ 10¢ 20¢ 30¢ 40¢ 50¢ 0¢ 1¢ 2¢ 3¢ 4¢ 5¢ 6¢ 7¢ 8¢ 9¢ The Double-Second-Difference correction (Corr.) is always to be added to the tabulated altitude. PREFACE This six-volume series of Sight Reduction Tables for Marine Navigation is designed to facilitate the practice of celestial navigation at sea by the Marcq Saint Hilaire or intercept method. The tabular data are the solutions of the navigational triangle of which two sides and the included angle are known and it is necessary to find the values of the third side and adjacent angle. The tables, intended for use with The Nautical Almanac, are designed for precise interpolation of altitude for declination by means of interpolation tables which facilitate linear interpolation and provide additionally for the effect of second differences when required. The concept, design, development, and preparation of these tables are the results of the collaborative efforts and joint accomplishments of the National Imagery and Mapping Agency, the U.S. Naval Observatory, and Her Majesty’s Nautical Almanac Office, Royal Greenwich Observatory. The tabular material in identical format has beenpublishedintheUnitedKingdombytheHydrographicDepartment,MinistryofDefence(Navy),asN.P.401. This reprint was compiled on a Hewlett Packard K420 server with an HP C180 client workstation, and was composed in its entirety as a digital document. Users should refer corrections, additions, and comments for improving this product to: MARINE NAVIGATION DEPARTMENT ST D 44 NATIONAL IMAGERY AND MAPPING AGENCY 4600 SANGAMORE ROAD BETHESDA MD 20816-5003 III CONTENTS Page PREFACE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . III INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . V A. DESCRIPTION OF TABLES 1. Purpose and Scope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . V 2. Arrangement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . V B. INTERPOLATION 1. Requirements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . X 2. First and Second Differences . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . X 3. Linear Interpolation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . X 4. The Interpolation Table . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XI 5. Interpolation when Second Differences are Required . . . . . . . . . . . . . . . . . . . . . . . . . XIII C. SPECIAL TECHNIQUES 1. Adjustment of Straight Line of Position . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XV 2. Interpolation for Latitude and Local Hour Angle . . . . . . . . . . . . . . . . . . . . . . . . . . . XVII 3. Interpolation near the Horizon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XVII 4. Negative Altitudes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XVIII 5. Interpolation near the Zenith . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XVIII D. OTHER APPLICATIONS 1. Star Identification. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XIX 2. Great-Circle Sailing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XX 3. Points along Great Circle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXIII 4. General Spherical Triangle Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXIII 5. Compass Error . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXIV E. BACKGROUND 1. Accuracy of Tables. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XXV 2. Computation Formulas. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XXV F. GLOSSARY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXVI G. EXAMPLE SIGHT REDUCTIONS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXIX TABLE OF OFFSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XVI SIGHT REDUCTION TABLES Latitudes 15(cid:176) to 22(cid:176) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2-183 Latitudes 23(cid:176) to 30(cid:176) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .184-365 INTERPOLATION TABLE Declination Increment(cid:190) 0.0¢ to 31.9¢ . . . . . . . . . . . . . . . . . . . . . . . . . . . . Inside front cover Declination Increment(cid:190) 28.0¢ to 59.9¢.. . . . . . . . . . . . . . . . . . . . . . . . . . . .Inside back cover IV INTRODUCTION A. DESCRIPTION OF TABLES 1. Purpose and Scope. The main purpose of these tables is to facilitate the practice of celestial navigation at sea. A secondary purpose is to provide, within the limitations of the tabular precision and interval, a table of the solutions of a spherical triangle of which two sides and the included angle are known and it is necessary to find the values of the third side and adjacent angle. The tables have been designed primarily for use with the Marcq Saint Hilaire or intercept method of sight reduction, utilizing a position assumed or chosen so that interpolation for latitude and local hour angle is not required. For entering arguments of integral degrees of latitude, declination, and local hour angle, altitudes and their differences are tabulated to the nearest tenth of a minute, azimuth angles to the nearest tenth of a degree. But the tables are designed for precise interpolation of altitude for declination only by means of interpolation tables which facilitate linear interpolation and provide additionally for the effect of second differences. The data are applicable to the solutions of sights of all celestial bodies; there are no limiting values of altitude, latitude, hour angle, or declination. 2. Arrangement. The tables are divided into six volumes, each of which includes two eight-degree zones of latitude. An overlap of 1(cid:176) occurs between volumes. The six volumes cover latitude bands 0(cid:176) to 15(cid:176) , 15(cid:176) to 30(cid:176) , 30(cid:176) to 45(cid:176) , 45(cid:176) to 60(cid:176) , 60(cid:176) to 75(cid:176) , and 75(cid:176) to 90(cid:176) . Each consecutive opening of the pages of a latitude zone differs from the preceding one by 1(cid:176) of local hour angle (LHA). As shown in figures 1 and 2, the values of LHA are prominently displayed at the top and bottom of each page; the horizontal argument heading each column is latitude, and the vertical argument is declination. For each combination of arguments, the tabulations are: the tabular altitude (ht or Tab. Hc), the altitude difference (d) with its sign, and the azimuth angle (Z). Within each opening, the data on the left-hand page are the altitudes, altitude differences, and azimuth angles of celestial bodies when the latitude of the observer has the same name as the declinations of the bodies. For any LHA tabulated on a left-hand page and any combination of the tabular latitude and declination arguments, the tabular altitude and associated azimuth angle respondents on the left-hand page are those of a body above the celestial horizon of the observer. The LHA’s tabulated on the left-hand pages are limited to the following ranges: 0(cid:176) increasing to 90(cid:176) and 360(cid:176) decreasing to 270(cid:176) . On any left-hand page there are two tabulated LHA’s, one LHA in the range 0(cid:176) increasing to 90(cid:176) and the second in the range 360(cid:176) decreasing to 270(cid:176) . On the right-hand page of each opening, the data above the horizontal rules are the tabular altitudes, altitude differences, and azimuth angles of celestial bodies above the celestial horizon when the latitude of the observer has a name contrary to the name of the declinations of the bodies and the LHA’s of the bodies are those tabulated at the top of the page. The data below the horizontal rules are the tabular altitudes, altitude differences, and azimuth angles of celestial bodies above the celestial horizon when the latitude of the observer has the same name as the declinations of the bodies and the LHA’s of the bodies are those tabulated at the bottom of the page. The LHA’s tabulated at the top of a right-hand page are the same as those tabulated on the left-hand page of the opening. The LHA’s tabulated at the bottom of the right-hand page are limited to the range 90(cid:176) increasing to 270(cid:176) ; one of the two LHA’s at the bottom of the page is in the range 90(cid:176) increasing to 180(cid:176) ; the other LHA is in the range 180(cid:176) increasing to 270(cid:176) ; the LHA in the range 90(cid:176) increasing to 180(cid:176) is the supplement of the LHA at the top of the page in the range 0(cid:176) increasing to 90(cid:176) . When the LHA is 90(cid:176) , the left and right-hand pages are identical. The horizontal rules, known as the Contrary-Same Line or C-S Line, indicate the degree of declination in which the celestial horizon occurs. V INTRODUCTION 60(cid:176), 300(cid:176) L.H.A. LATITUDE SAME NAME AS DECLINATION N. Lat.{LL..HH..AA.. lgersesa thtearn t h1a8n0(cid:176) 1..8..0..(cid:176).. ..........ZZnn==3Z60(cid:176)–Z 15(cid:176) 16(cid:176) 17(cid:176) 18(cid:176) 19(cid:176) 20(cid:176) 21(cid:176) 22(cid:176) Dec. Hc d Z Hc d Z Hc d Z Hc d Z Hc d Z Hc d Z Hc d Z Hc d Z Dec. (cid:176) (cid:176) ¢ ¢ (cid:176) (cid:176) ¢ ¢ (cid:176) (cid:176) ¢ ¢ (cid:176) (cid:176) ¢ ¢ (cid:176) (cid:176) ¢ ¢ (cid:176) (cid:176) ¢ ¢ (cid:176) (cid:176) ¢ ¢ (cid:176) (cid:176) ¢ ¢ (cid:176) (cid:176) 0 28 52.7 + 17.5 98.5 28 43.6 + 18.6 99.0 28 33.9 + 19.7 99.6 28 23.6 + 20.9 100.1 28 12.8 + 21.9 100.6 28 01.5 + 23.0 101.2 27 49.6 + 24.0 101.7 27 37.1 + 25.2 102.2 0 1 29 10.2 + 16.9 97.4 29 02.2 + 18.1 98.0 28 53.6 + 19.2 98.5 28 44.5 + 20.3 99.0 28 34.7 + 21.5 99.6 28 24.5 + 22.5 100.1 28 13.6 + 23.7 100.7 28 02.3 + 24.7 101.2 1 2 29 27.1 + 16.4 96.3 29 20.3 + 17.5 96.9 29 12.8 + 18.7 97.4 29 04.8 + 19.8 98.0 28 56.2 + 20.9 98.5 28 47.0 + 22.0 99.1 28 37.3 + 23.1 99.6 28 27.0 + 24.2 100.1 2 3 29 43.5 + 15.9 95.2 29 37.8 + 17.0 95.8 29 31.5 + 18.1 96.3 29 24.6 + 19.2 96.9 29 17.1 + 20.4 97.4 29 09.0 + 21.5 98.0 29 00.4 + 22.6 98.6 28 51.2 + 23.7 99.1 3 4 29 59.4 + 15.2 94.1 29 54.8 + 16.4 94.7 29 49.6 + 17.6 95.2 29 43.8 + 18.8 95.8 29 37.5 + 19.9 96.4 29 30.5 + 21.0 96.9 29 23.0 + 22.1 97.5 29 14.9 + 23.2 98.0 4 5 30 14.6 + 14.7 93.0 30 11.2 + 15.9 93.5 30 07.2 + 17.0 94.1 30 02.6 + 18.2 94.7 29 57.4 + 19.3 95.3 29 51.5 + 20.5 95.9 29 45.1 + 21.6 96.4 29 38.1 + 22.7 97.0 5 6 30 29.3 + 14.1 91.8 30 27.1 + 15.3 92.4 30 24.2 + 16.5 93.0 30 20.8 + 17.6 93.6 30 16.7 + 18.8 94.2 30 12.0 + 19.9 94.8 30 06.7 + 21.1 95.3 30 00.8 + 22.2 95.9 6 7 30 43.4 + 13.6 90.7 30 42.4 + 14.7 91.3 30 40.7 + 15.9 91.9 30 38.4 + 17.1 92.5 30 35.5 + 18.2 93.1 30 31.9 + 19.4 93.7 30 27.8 + 20.5 94.3 30 23.0 + 21.7 94.8 7 8 30 57.0 + 12.9 89.6 30 57.1 + 14.1 90.2 30 56.6 + 15.3 90.8 30 55.5 + 16.5 91.4 30 53.7 + 17.7 92.0 30 51.3 + 18.8 92.6 30 48.3 + 20.0 93.2 30 44.7 + 21.1 93.8 8 9 31 09.9 + 12.3 88.4 31 11.2 + 13.5 89.0 31 11.9 + 14.7 89.7 31 12.0 + 15.8 90.3 31 11.4 + 17.0 90.9 31 10.1 + 18.3 91.5 31 08.3 + 19.4 92.1 31 05.8 + 20.6 92.7 9 10 31 22.2 + 11.7 87.3 31 24.7 + 12.9 87.9 31 26.6 + 14.1 88.5 31 27.8 + 15.3 89.1 31 28.4 + 16.5 89.7 31 28.4 + 17.7 90.4 31 27.7 + 18.8 91.0 31 26.4 + 20.0 91.6 10 11 31 33.9 + 11.1 86.1 31 37.6 + 12.3 86.8 31 40.7 + 13.5 87.4 31 43.1 + 14.7 88.0 31 44.9 + 15.9 88.6 31 46.1 + 17.0 89.2 31 46.5 + 18.3 89.8 31 46.4 + 19.4 90.5 11 12 31 45.0 + 10.5 85.0 31 49.9 + 11.7 85.6 31 54.2 + 12.9 86.2 31 57.8 + 14.1 86.9 32 00.8 + 15.3 87.5 32 03.1 + 16.5 88.1 32 04.8 + 17.6 88.7 32 05.8 + 18.8 89.4 12 13 31 55.5 + 9.8 83.8 32 01.6 + 11.1 84.5 32 07.1 + 12.2 85.1 32 11.9 + 13.5 85.7 32 16.1 + 14.6 86.3 32 19.6 + 15.8 87.0 32 22.4 + 17.1 87.6 32 24.6 + 18.2 88.2 13 14 32 05.3 + 9.2 82.7 32 12.7 + 10.4 83.3 32 19.3 + 11.6 83.9 32 25.4 + 12.8 84.6 32 30.7 + 14.1 85.2 32 35.4 + 15.3 85.8 32 39.5 + 16.4 86.5 32 42.8 + 17.7 87.1 14 15 32 14.5 + 8.6 81.5 32 23.1 + 9.7 82.1 32 30.9 + 11.0 82.8 32 38.2 + 12.2 83.4 32 44.8 + 13.3 84.0 32 50.7 + 14.5 84.7 32 55.9 + 15.8 85.3 33 00.5 + 16.9 86.0 15 16 32 23.1 + 7.8 80.3 32 32.8 + 9.1 81.0 32 41.9 + 10.3 81.6 32 50.4 + 11.5 82.2 32 58.1 + 12.8 82.9 33 05.2 + 14.0 83.5 33 11.7 + 15.1 84.2 33 17.4 + 16.4 84.8 16 17 32 30.9 + 7.3 79.2 32 41.9 + 8.5 79.8 32 52.2 + 9.7 80.4 33 01.9 + 10.8 81.1 33 10.9 + 12.1 81.7 33 19.2 + 13.3 82.4 33 26.8 + 14.5 83.0 33 33.8 + 15.7 83.7 17 18 32 38.2 + 6.6 78.0 32 50.4 + 7.7 78.6 33 01.9 + 9.0 79.2 33 12.7 + 10.3 79.9 33 23.0 + 11.4 80.5 33 32.5 + 12.6 81.2 33 41.3 + 13.9 81.8 33 49.5 + 15.1 82.5 18 19 32 44.8 + 5.9 76.8 32 58.1 + 7.1 77.4 33 10.9 + 8.3 78.1 33 23.0 + 9.5 78.7 33 34.4 + 10.7 79.4 33 45.1 + 12.0 80.0 33 55.2 + 13.2 80.7 34 04.6 + 14.4 81.3 19 20 32 50.7 + 5.2 75.6 33 05.2 + 6.5 76.2 33 19.2 + 7.6 76.9 33 32.5 + 8.8 77.5 33 45.1 + 10.1 78.2 33 57.1 + 11.3 78.8 34 08.4 + 12.5 79.5 34 19.0 + 13.7 80.2 20 21 32 55.9 + 4.6 74.4 33 11.7 + 5.7 75.1 33 26.8 + 7.0 75.7 33 41.3 + 8.2 76.3 33 55.2 + 9.4 77.0 34 08.4 + 10.6 77.6 34 20.9 + 11.8 78.3 34 32.7 + 13.0 79.0 21 22 33 00.5 + 3.8 73.2 33 17.4 + 5.1 73.9 33 33.8 + 6.3 74.5 33 49.5 + 7.5 75.1 34 04.6 + 8.7 75.8 34 19.0 + 9.9 76.5 34 32.7 + 11.1 77.1 34 45.7 + 12.3 77.8 22 23 33 04.3 + 3.3 72.0 33 22.5 + 4.4 72.7 33 40.1 + 5.6 73.3 33 57.0 + 6.8 73.9 34 13.3 + 8.0 74.6 34 28.9 + 9.2 75.3 34 43.8 + 10.4 75.9 34 58.0 + 11.7 76.6 23 24 33 07.6 + 2.5 70.9 33 26.9 + 3.7 71.5 33 45.7 + 4.9 72.1 34 03.8 + 6.1 72.7 34 21.3 + 7.2 73.4 34 38.1 + 8.5 74.1 34 54.2 + 9.7 74.7 35 09.7 + 10.9 75.4 24 25 33 10.1 + 1.8 69.7 33 30.6 + 3.0 70.3 33 50.6 + 4.2 70.9 34 09.9 + 5.4 71.5 34 28.5 + 6.6 72.2 34 46.6 + 7.7 72.9 35 03.9 + 9.0 73.5 35 20.6 + 10.2 74.2 25 26 33 11.9 + 1.2 68.5 33 33.6 + 2.4 69.1 33 54.8 + 3.5 69.7 34 15.3 + 4.6 70.3 34 35.1 + 5.9 71.0 34 54.3 + 7.1 71.6 35 12.9 + 8.3 72.3 35 30.8 + 9.5 73.0 26 27 33 13.1 + 0.4 67.3 33 36.0 + 1.6 67.9 33 58.3 + 2.7 68.5 34 19.9 + 4.0 69.1 34 41.0 + 5.1 69.8 35 01.4 + 6.3 70.4 35 21.2 + 7.5 71.1 35 40.3 + 8.7 71.8 27 28 33 13.5 – 0.2 66.1 33 37.6 + 0.9 66.7 34 01.0 + 2.1 67.3 34 23.9 + 3.2 67.9 34 46.1 + 4.5 68.6 35 07.7 + 5.6 69.2 35 28.7 + 6.8 69.9 35 49.0 + 8.0 70.6 28 29 33 13.3 – 0.9 64.9 33 38.5 + 0.2 65.5 34 03.1 + 1.4 66.1 34 27.1 + 2.6 66.7 34 50.6 + 3.7 67.4 35 13.3 + 4.9 68.0 35 35.5 + 6.1 68.7 35 57.0 + 7.3 69.3 29 30 33 12.4 – 1.6 63.7 33 38.7 – 0.4 64.3 34 04.5 + 0.7 64.9 34 29.7 + 1.8 65.5 34 54.3 + 2.9 66.1 35 18.2 + 4.2 66.8 35 41.6 + 5.3 67.4 36 04.3 + 6.5 68.1 30 31 33 10.8 – 2.2 62.5 33 38.3 – 1.2 63.1 34 05.2 – 0.1 63.7 34 31.5 + 1.1 64.3 34 57.2 + 2.3 64.9 35 22.4 + 3.3 65.6 35 46.9 + 4.5 66.2 36 10.8 + 5.7 66.9 31 32 33 08.6 – 3.0 61.3 33 37.1 – 1.8 61.9 34 05.1 – 0.7 62.5 34 32.6 + 0.4 63.1 34 59.5 + 1.5 63.7 35 25.7 + 2.7 64.3 35 51.4 + 3.8 65.0 36 16.5 + 5.0 65.6 32 33 33 05.6 – 3.6 60.1 33 35.3 – 2.6 60.7 34 04.4 – 1.5 61.3 34 33.0 – 0.4 61.9 35 01.0 + 0.7 62.5 35 28.4 + 1.9 63.1 35 55.2 + 3.1 63.7 36 21.5 + 4.2 64.4 33 34 33 02.0 – 4.3 58.9 33 32.7 – 3.2 59.5 34 02.9 – 2.1 60.1 34 32.6 – 1.1 60.6 35 01.7 + 0.1 61.3 35 30.3 + 1.2 61.9 35 58.3 + 2.3 62.5 36 25.7 + 3.4 63.2 34 35 32 57.7 – 5.0 57.7 33 29.5 – 4.0 58.3 34 00.8 – 2.9 58.9 34 31.5 – 1.8 59.4 35 01.8 – 0.7 60.0 35 31.5 + 0.4 60.7 36 00.6 + 1.5 61.3 36 29.1 + 2.7 61.9 35 36 32 52.7 – 5.7 56.5 33 25.5 – 4.6 57.1 33 57.9 – 3.6 57.6 34 29.7 – 2.5 58.2 35 01.1 – 1.4 58.8 35 31.9 – 0.4 59.4 36 02.1 + 0.8 60.0 36 31.8 + 1.9 60.7 36 37 32 47.0 – 6.3 55.4 33 20.9 – 5.3 55.9 33 54.3 – 4.2 56.4 34 27.2 – 3.2 57.0 34 59.7 – 2.2 57.6 35 31.5 – 1.0 58.2 36 02.9 0.0 58.8 36 33.7 + 1.1 59.4 37 38 32 40.7 – 7.0 54.2 33 15.6 – 6.0 54.7 33 50.1 – 5.0 55.2 34 24.0 – 3.9 55.8 34 57.5 – 2.9 56.4 35 30.5 – 1.9 57.0 36 02.9 – 0.7 57.6 36 34.8 + 0.3 58.2 38 39 32 33.7 – 7.6 53.0 33 09.6 – 6.6 53.5 33 45.1 – 5.7 54.0 34 20.1 – 4.7 54.6 34 54.6 – 3.6 55.2 35 28.6 – 2.5 55.7 36 02.2 – 1.6 56.3 36 35.1 – 0.4 56.9 39 40 32 26.1 – 8.3 51.8 33 03.0 – 7.4 52.3 33 39.4 – 6.3 52.8 34 15.4 – 5.3 53.4 34 51.0 – 4.4 53.9 35 26.1 – 3.4 54.5 36 00.6 – 2.2 55.1 36 34.7 – 1.2 55.7 40 41 32 17.8 – 9.0 50.6 32 55.6 – 8.0 51.1 33 33.1 – 7.1 51.7 34 10.1 – 6.1 52.2 34 46.6 – 5.0 52.7 35 22.7 – 4.0 53.3 35 58.4 – 3.1 53.9 36 33.5 – 2.0 54.5 41 42 32 08.8 – 9.6 49.5 32 47.6 – 8.6 50.0 33 26.0 – 7.7 50.5 34 04.0 – 6.8 51.0 34 41.6 – 5.8 51.5 35 18.7 – 4.8 52.1 35 55.3 – 3.7 52.6 36 31.5 – 2.7 53.2 42 43 31 59.2 – 10.2 48.3 32 39.0 – 9.4 48.8 33 18.3 – 8.4 49.3 33 57.2 – 7.4 49.8 34 35.8 – 6.5 50.3 35 13.9 – 5.5 50.8 35 51.6 – 4.6 51.4 36 28.8 – 3.6 52.0 43 44 31 49.0 – 10.8 47.1 32 29.6 – 9.9 47.6 33 09.9 – 9.1 48.1 33 49.8 – 8.2 48.6 34 29.3 – 7.2 49.1 35 08.4 – 6.3 49.6 35 47.0 – 5.3 50.2 36 25.2 – 4.3 50.7 44 45 31 38.2 – 11.5 46.0 32 19.7 – 10.6 46.4 33 00.8 – 9.7 46.9 33 41.6 – 8.8 47.4 34 22.1 – 8.0 47.9 35 02.1 – 7.0 48.4 35 41.7 – 6.0 48.9 36 20.9 – 5.1 49.5 45 46 31 26.7 – 12.1 44.8 32 09.1 – 11.3 45.3 32 51.1 – 10.4 45.7 33 32.8 – 9.5 46.2 34 14.1 – 8.6 46.7 34 55.1 – 7.7 47.2 35 35.7 – 6.8 47.7 36 15.8 – 5.8 48.3 46 47 31 14.6 – 12.7 43.7 31 57.8 – 11.9 44.1 32 40.7 – 11.0 44.6 33 23.3 – 10.2 45.0 34 05.5 – 9.3 45.5 34 47.4 – 8.4 46.0 35 28.9 – 7.5 46.5 36 10.0 – 6.6 47.0 47 48 31 01.9 – 13.3 42.6 31 45.9 – 12.5 43.0 32 29.7 – 11.7 43.4 33 13.1 – 10.8 43.8 33 56.2 – 10.0 44.3 34 39.0 – 9.1 44.8 35 21.4 – 8.2 45.3 36 03.4 – 7.3 45.8 48 49 30 48.6 – 13.9 41.4 31 33.4 – 13.1 41.8 32 18.0 – 12.3 42.2 33 02.3 – 11.5 42.7 33 46.2 – 10.6 43.1 34 29.9 – 9.9 43.6 35 13.2 – 9.0 44.1 35 56.1 – 8.1 44.6 49 50 30 34.7 – 14.5 40.3 31 20.3 – 13.7 40.7 32 05.7 – 13.0 41.1 32 50.8 – 12.2 41.5 33 35.6 – 11.4 41.9 34 20.0 – 10.5 42.4 35 04.2 – 9.7 42.9 35 48.0 – 8.8 43.3 50 51 30 20.2 – 15.1 39.2 31 06.6 – 14.3 39.5 31 52.7 – 13.5 39.9 32 38.6 – 12.8 40.3 33 24.2 – 12.0 40.8 34 09.5 – 11.2 41.2 34 54.5 – 10.4 41.7 35 39.2 – 9.6 42.1 51 52 30 05.1 – 15.6 38.0 30 52.3 – 14.9 38.4 31 39.2 – 14.2 38.8 32 25.8 – 13.4 39.2 33 12.2 – 12.7 39.6 33 58.3 – 11.9 40.0 34 44.1 – 11.1 40.5 35 29.6 – 10.3 40.9 52 53 29 49.5 – 16.2 36.9 30 37.4 – 15.5 37.3 31 25.0 – 14.8 37.6 32 12.4 – 14.1 38.0 32 59.5 – 13.3 38.4 33 46.4 – 12.6 38.8 34 33.0 – 11.8 39.3 35 19.3 – 11.0 39.7 53 54 29 33.3 – 16.7 35.8 30 21.9 – 16.1 36.2 31 10.2 – 15.3 36.5 31 58.3 – 14.6 36.9 32 46.2 – 13.9 37.3 33 33.8 – 13.2 37.7 34 21.2 – 12.5 38.1 35 08.3 – 11.7 38.5 54 55 29 16.6 – 17.3 34.7 30 05.8 – 16.6 35.0 30 54.9 – 16.0 35.4 31 43.7 – 15.3 35.7 32 32.3 – 14.6 36.1 33 20.6 – 13.9 36.5 34 08.7 – 13.1 36.9 34 56.6 – 12.4 37.3 55 56 28 59.3 – 17.8 33.6 29 49.2 – 17.2 33.9 30 38.9 – 16.5 34.3 31 28.4 – 15.9 34.6 32 17.7 – 15.2 35.0 33 06.7 – 14.5 35.3 33 55.6 – 13.8 35.7 34 44.2 – 13.1 36.1 56 57 28 41.5 – 18.3 32.5 29 32.0 – 17.7 32.8 30 22.4 – 17.1 33.1 31 12.5 – 16.5 33.5 32 02.5 – 15.9 33.8 32 52.2 – 15.1 34.2 33 41.8 – 14.5 34.5 34 31.1 – 13.8 34.9 57 58 28 23.2 – 18.8 31.4 29 14.3 – 18.2 31.7 30 05.3 – 17.7 32.0 30 56.0 – 17.0 32.3 31 46.6 – 16.4 32.7 32 37.1 – 15.8 33.0 33 27.3 – 15.2 33.4 34 17.3 – 14.5 33.7 58 59 28 04.4 – 19.4 30.4 28 56.1 – 18.8 30.6 29 47.6 – 18.2 30.9 30 39.0 – 17.6 31.2 31 30.2 – 17.0 31.5 32 21.3 – 16.4 31.9 33 12.1 – 15.7 32.2 34 02.8 – 15.1 32.6 59 60 27 45.0 – 19.8 29.3 28 37.3 – 19.3 29.6 29 29.4 – 18.7 29.8 30 21.4 – 18.2 30.1 31 13.2 – 17.6 30.4 32 04.9 – 17.0 30.7 32 56.4 – 16.4 31.1 33 47.7 – 15.8 31.4 60 61 27 25.2 – 20.3 28.2 28 18.0 – 19.8 28.5 29 10.7 – 19.3 28.7 30 03.2 – 18.7 29.0 30 55.6 – 18.1 29.3 31 47.9 – 17.6 29.6 32 40.0 – 17.1 29.9 33 31.9 – 16.5 30.2 61 62 27 04.9 – 20.8 27.2 27 58.2 – 20.3 27.4 28 51.4 – 19.7 27.7 29 44.5 – 19.2 27.9 30 37.5 – 18.8 28.2 31 30.3 – 18.2 28.5 32 22.9 – 17.6 28.8 33 15.4 – 17.0 29.1 62 63 26 44.1 – 21.2 26.1 27 37.9 – 20.7 26.3 28 31.7 – 20.3 26.6 29 25.3 – 19.8 26.8 30 18.7 – 19.2 27.1 31 12.1 – 18.8 27.4 32 05.3 – 18.2 27.6 32 58.4 – 17.7 27.9 63 64 26 22.9 – 21.7 25.1 27 17.2 – 21.3 25.3 28 11.4 – 20.8 25.5 29 05.5 – 20.3 25.8 29 59.5 – 19.9 26.0 30 53.3 – 19.3 26.3 31 47.1 – 18.8 26.5 32 40.7 – 18.3 26.8 64 65 26 01.2 – 22.2 24.0 26 55.9 – 21.7 24.2 27 50.6 – 21.3 24.5 28 45.2 – 20.8 24.7 29 39.6 – 20.3 24.9 30 34.0 – 19.9 25.2 31 28.3 – 19.4 25.4 32 22.4 – 18.9 25.7 65 66 25 39.0 – 22.5 23.0 26 34.2 – 22.1 23.2 27 29.3 – 21.7 23.4 28 24.4 – 21.3 23.6 29 19.3 – 20.9 23.8 30 14.1 – 20.4 24.1 31 08.9 – 20.0 24.3 32 03.5 – 19.5 24.6 66 67 25 16.5 – 23.0 22.0 26 12.1 – 22.6 22.2 27 07.6 – 22.2 22.3 28 03.1 – 21.8 22.5 28 58.4 – 21.3 22.8 29 53.7 – 20.9 23.0 30 48.9 – 20.5 23.2 31 44.0 – 20.1 23.4 67 68 24 53.5 – 23.4 21.0 25 49.5 – 23.1 21.1 26 45.4 – 22.7 21.3 27 41.3 – 22.3 21.5 28 37.1 – 21.9 21.7 29 32.8 – 21.5 21.9 30 28.4 – 21.1 22.1 31 23.9 – 20.6 22.3 68 69 24 30.1 – 23.9 19.9 25 26.4 – 23.4 20.1 26 22.7 – 23.1 20.3 27 19.0 – 22.7 20.4 28 15.2 – 22.4 20.6 29 11.3 – 22.0 20.8 30 07.3 – 21.5 21.0 31 03.3 – 21.2 21.2 69 70 24 06.2 – 24.2 18.9 25 03.0 – 23.9 19.1 25 59.6 – 23.5 19.2 26 56.3 – 23.2 19.4 27 52.8 – 22.8 19.6 28 49.3 – 22.4 19.8 29 45.8 – 22.1 20.0 30 42.1 – 21.7 20.2 70 71 23 42.0 – 24.6 17.9 24 39.1 – 24.3 18.1 25 36.1 – 23.9 18.2 26 33.1 – 23.7 18.4 27 30.0 – 23.3 18.5 28 26.9 – 23.0 18.7 29 23.7 – 22.7 18.9 30 20.4 – 22.3 19.1 71 72 23 17.4 – 24.9 16.9 24 14.8 – 24.7 17.1 25 12.2 – 24.4 17.2 26 09.4 – 24.0 17.3 27 06.7 – 23.8 17.5 28 03.9 – 23.4 17.7 29 01.0 – 23.1 17.8 29 58.1 – 22.7 18.0 72 73 22 52.5 – 25.4 16.0 23 50.1 – 25.0 16.1 24 47.8 – 24.8 16.2 25 45.4 – 24.5 16.3 26 42.9 – 24.2 16.5 27 40.5 – 23.9 16.6 28 37.9 – 23.6 16.8 29 35.4 – 23.3 16.9 73 74 22 27.1 – 25.6 15.0 23 25.1 – 25.4 15.1 24 23.0 – 25.2 15.2 25 20.9 – 24.9 15.3 26 18.7 – 24.6 15.4 27 16.6 – 24.4 15.6 28 14.3 – 24.0 15.7 29 12.1 – 23.8 15.9 74 75 22 01.5 – 26.1 14.0 22 59.7 – 25.8 14.1 23 57.8 – 25.5 14.2 24 56.0 – 25.3 14.3 25 54.1 – 25.0 14.4 26 52.2 – 24.8 14.6 27 50.3 – 24.6 14.7 28 48.3 – 24.3 14.8 75 76 21 35.4 – 26.3 13.0 22 33.9 – 26.2 13.1 23 32.3 – 25.9 13.2 24 30.7 – 25.7 13.3 25 29.1 – 25.5 13.4 26 27.4 – 25.2 13.5 27 25.7 – 24.9 13.7 28 24.0 – 24.7 13.8 76 77 21 09.1 – 26.7 12.1 22 07.7 – 26.5 12.1 23 06.4 – 26.3 12.2 24 05.0 – 26.1 12.3 25 03.6 – 25.8 12.4 26 02.2 – 25.6 12.5 27 00.8 – 25.5 12.6 27 59.3 – 25.2 12.7 77 78 20 42.4 – 27.0 11.1 21 41.2 – 26.8 11.2 22 40.1 – 26.6 11.3 23 38.9 – 26.4 11.3 24 37.8 – 26.3 11.4 25 36.6 – 26.1 11.5 26 35.3 – 25.8 11.6 27 34.1 – 25.6 11.7 78 79 20 15.4 – 27.3 10.1 21 14.4 – 27.1 10.2 22 13.5 – 27.0 10.3 23 12.5 – 26.8 10.4 24 11.5 – 26.6 10.4 25 10.5 – 26.4 10.5 26 09.5 – 26.3 10.6 27 08.5 – 26.1 10.7 79 80 19 48.1 – 27.7 9.2 20 47.3 – 27.5 9.3 21 46.5 – 27.3 9.3 22 45.7 – 27.2 9.4 23 44.9 – 27.0 9.5 24 44.1 – 26.9 9.5 25 43.2 – 26.6 9.6 26 42.4 – 26.5 9.7 80 81 19 20.4 – 27.9 8.3 20 19.8 – 27.8 8.3 21 19.2 – 27.6 8.4 22 18.5 – 27.5 8.4 23 17.9 – 27.4 8.5 24 17.2 – 27.2 8.5 25 16.6 – 27.1 8.6 26 15.9 – 26.9 8.7 81 82 18 52.5 – 28.1 7.3 19 52.0 – 28.0 7.4 20 51.6 – 28.0 7.4 21 51.0 – 27.8 7.5 22 50.5 – 27.7 7.5 23 50.0 – 27.6 7.6 24 49.5 – 27.5 7.6 25 49.0 – 27.4 7.7 82 83 18 24.4 – 28.5 6.4 19 24.0 – 28.4 6.4 20 23.6 – 28.2 6.5 21 23.2 – 28.1 6.5 22 22.8 – 28.0 6.6 23 22.4 – 27.9 6.6 24 22.0 – 27.8 6.7 25 21.6 – 27.7 6.7 83 84 17 55.9 – 28.7 5.5 18 55.6 – 28.6 5.5 19 55.4 – 28.6 5.5 20 55.1 – 28.5 5.6 21 54.8 – 28.4 5.6 22 54.5 – 28.3 5.6 23 54.2 – 28.2 5.7 24 53.9 – 28.1 5.7 84 85 17 27.2 – 29.0 4.5 18 27.0 – 28.9 4.6 19 26.8 – 28.8 4.6 20 26.6 – 28.7 4.6 21 26.4 – 28.7 4.7 22 26.2 – 28.6 4.7 23 26.0 – 28.5 4.7 24 25.8 – 28.4 4.8 85 86 16 58.2 – 29.2 3.6 17 58.1 – 29.2 3.6 18 58.0 – 29.1 3.7 19 57.9 – 29.1 3.7 20 57.7 – 29.0 3.7 21 57.6 – 28.9 3.7 22 57.5 – 28.9 3.8 23 57.4 – 28.9 3.8 86 87 16 29.0 – 29.4 2.7 17 28.9 – 29.4 2.7 18 28.9 – 29.4 2.7 19 28.8 – 29.3 2.8 20 28.7 – 29.3 2.8 21 28.7 – 29.3 2.8 22 28.6 – 29.2 2.8 23 28.5 – 29.1 2.8 87 88 15 59.6 – 29.7 1.8 16 59.5 – 29.6 1.8 17 59.5 – 29.6 1.8 18 59.5 – 29.6 1.8 19 59.4 – 29.5 1.8 20 59.4 – 29.5 1.9 21 59.4 – 29.6 1.9 22 59.4 – 29.6 1.9 88 89 15 29.9 – 29.9 0.9 16 29.9 – 29.9 0.9 17 29.9 – 29.9 0.9 18 29.9 – 29.9 0.9 19 29.9 – 29.9 0.9 20 29.9 – 29.9 0.9 21 29.8 – 29.8 0.9 22 29.8 – 29.8 0.9 89 90 15 00.0 – 30.1 0.0 16 00.0 – 30.1 0.0 17 00.0 – 30.1 0.0 18 00.0 – 30.1 0.0 19 00.0 – 30.1 0.0 20 00.0 – 30.1 0.0 21 00.0 – 30.1 0.0 22 00.0 – 30.2 0.0 90 15(cid:176) 16(cid:176) 17(cid:176) 18(cid:176) 19(cid:176) 20(cid:176) 21(cid:176) 22(cid:176) 60(cid:176), 300(cid:176) L.H.A. LATITUDE SAME NAME AS DECLINATION FIGURE1 VI A. DESCRIPTION OF TABLES LATITUDE CONTRARY NAME TO DECLINATION L.H.A. 60(cid:176), 300(cid:176) 15(cid:176) 16(cid:176) 17(cid:176) 18(cid:176) 19(cid:176) 20(cid:176) 21(cid:176) 22(cid:176) Dec. Hc d Z Hc d Z Hc d Z Hc d Z Hc d Z Hc d Z Hc d Z Hc d Z Dec. (cid:176) (cid:176) ¢ ¢ (cid:176) (cid:176) ¢ ¢ (cid:176) (cid:176) ¢ ¢ (cid:176) (cid:176) ¢ ¢ (cid:176) (cid:176) ¢ ¢ (cid:176) (cid:176) ¢ ¢ (cid:176) (cid:176) ¢ ¢ (cid:176) (cid:176) ¢ ¢ (cid:176) (cid:176) 0 28 52.7 – 18.0 98.5 28 43.6 – 19.1 99.0 28 33.9 – 20.2 99.6 28 23.6 – 21.3 100.1 28 12.8 – 22.4 100.6 28 01.5 – 23.5 101.2 27 49.6 – 24.6 101.7 27 37.1 – 25.5 102.2 0 1 28 34.7 – 18.5 99.6 28 24.5 – 19.6 100.1 28 13.7 – 20.8 100.7 28 02.3 – 21.8 101.2 27 50.4 – 22.9 101.7 27 38.0 – 24.0 102.2 27 25.0 – 25.0 102.7 27 11.6 – 26.1 103.2 1 2 28 16.2 – 19.0 100.7 28 04.9 – 20.2 101.2 27 52.9 – 21.2 101.7 27 40.5 – 22.3 102.2 27 27.5 – 23.3 102.7 27 14.0 – 24.4 103.2 27 00.0 – 25.4 103.7 26 45.5 – 26.4 104.2 2 3 27 57.2 – 19.5 101.7 27 44.7 – 20.6 102.3 27 31.7 – 21.7 102.8 27 18.2 – 22.7 103.3 27 04.2 – 23.8 103.8 26 49.6 – 24.8 104.3 26 34.6 – 25.9 104.8 26 19.1 – 26.9 105.2 3 4 27 37.7 – 20.0 102.8 27 24.1 – 21.1 103.3 27 10.0 – 22.1 103.8 26 55.5 – 23.2 104.3 26 40.4 – 24.3 104.8 26 24.8 – 25.3 105.3 26 08.7 – 26.2 105.8 25 52.2 – 27.3 106.2 4 5 27 17.7 – 20.5 103.9 27 03.0 – 21.5 104.4 26 47.9 – 22.6 104.9 26 32.3 – 23.7 105.3 26 16.1 – 24.6 105.8 25 59.5 – 25.7 106.3 25 42.5 – 26.7 106.8 25 24.9 – 27.6 107.2 5 6 26 57.2 – 21.0 104.9 26 41.5 – 22.0 105.4 26 25.3 – 23.1 105.9 26 08.6 – 24.1 106.4 25 51.5 – 25.1 106.8 25 33.8 – 26.0 107.3 25 15.8 – 27.1 107.8 24 57.3 – 28.1 108.2 6 7 26 36.2 – 21.4 106.0 26 19.5 – 22.5 106.5 26 02.2 – 23.4 106.9 25 44.5 – 24.5 107.4 25 26.4 – 25.5 107.8 25 07.8 – 26.5 108.3 24 48.7 – 27.5 108.7 24 29.2 – 28.4 109.2 7 8 26 14.8 – 21.8 107.0 25 57.0 – 22.9 107.5 25 38.8 – 24.0 108.0 25 20.0 – 24.9 108.4 25 00.9 – 25.9 108.9 24 41.3 – 26.9 109.3 24 21.2 – 27.8 109.7 24 00.8 – 28.8 110.1 8 9 25 53.0 – 22.3 108.1 25 34.1 – 23.3 108.5 25 14.8 – 24.3 109.0 24 55.1 – 25.3 109.4 24 35.0 – 26.3 109.8 24 14.4 – 27.3 110.3 23 53.4 – 28.2 110.7 23 32.0 – 29.1 111.1 9 10 25 30.7 – 22.8 109.1 25 10.8 – 23.7 109.5 24 50.5 – 24.7 110.0 24 29.8 – 25.7 110.4 24 08.7 – 26.7 110.8 23 47.1 – 27.6 111.2 23 25.2 – 28.5 111.7 23 02.9 – 29.5 112.1 10 11 25 07.9 – 23.1 110.1 24 47.1 – 24.2 110.6 24 25.8 – 25.1 111.0 24 04.1 – 26.1 111.4 23 42.0 – 27.0 111.8 23 19.5 – 27.9 112.2 22 56.7 – 28.9 112.6 22 33.4 – 29.8 113.0 11 12 24 44.8 – 23.6 111.1 24 22.9 – 24.5 111.6 24 00.7 – 25.5 112.0 23 38.0 – 26.4 112.4 23 15.0 – 27.4 112.8 22 51.6 – 28.4 113.2 22 27.8 – 29.3 113.6 22 03.6 – 30.1 113.9 12 13 24 21.2 – 24.0 112.1 23 58.4 – 24.9 112.6 23 35.2 – 25.9 113.0 23 11.6 – 26.8 113.4 22 47.6 – 27.7 113.8 22 23.2 – 28.6 114.1 21 58.5 – 29.5 114.5 21 33.5 – 30.5 114.9 13 14 23 57.2 – 24.3 113.1 23 33.5 – 25.3 113.6 23 09.3 – 26.2 113.9 22 44.8 – 27.2 114.3 22 19.9 – 28.1 114.7 21 54.6 – 29.0 115.1 21 29.0 – 29.9 115.4 21 03.0 – 30.7 115.8 14 15 23 32.9 – 24.7 114.1 23 08.2 – 25.7 114.5 22 43.1 – 26.6 114.9 22 17.6 – 27.5 115.3 21 51.8 – 28.4 115.7 21 25.6 – 29.3 116.0 20 59.1 – 30.1 116.4 20 32.3 – 31.0 116.7 15 16 23 08.2 – 25.1 115.1 22 42.5 – 26.0 115.5 22 16.5 – 27.0 115.9 21 50.1 – 27.9 116.3 21 23.4 – 28.7 116.6 20 56.3 – 29.6 117.0 20 29.0 – 30.5 117.3 20 01.3 – 31.3 117.6 16 17 22 43.1 – 25.5 116.1 22 16.5 – 26.4 116.5 21 49.5 – 27.3 116.9 21 22.2 – 28.1 117.2 20 54.7 – 29.1 117.6 20 26.7 – 29.8 117.9 19 58.5 – 30.7 118.2 19 30.0 – 31.5 118.5 17 18 22 17.6 – 25.8 117.1 21 50.1 – 26.7 117.5 21 22.2 – 27.5 117.8 20 54.1 – 28.5 118.2 20 25.6 – 29.3 118.5 19 56.9 – 30.2 118.8 19 27.8 – 31.0 119.1 18 58.5 – 31.9 119.4 18 19 21 51.8 – 26.2 118.1 21 23.4 – 27.1 118.4 20 54.7 – 28.0 118.8 20 25.6 – 28.7 119.1 19 56.3 – 29.6 119.4 19 26.7 – 30.5 119.7 18 56.8 – 31.3 120.0 18 26.6 – 32.0 120.3 19 20 21 25.6 – 26.5 119.0 20 56.3 – 27.3 119.4 20 26.7 – 28.2 119.7 19 56.9 – 29.1 120.0 19 26.7 – 29.9 120.3 18 56.2 – 30.7 120.6 18 25.5 – 31.5 120.9 17 54.6 – 32.4 121.2 20 21 20 59.1 – 26.8 120.0 20 29.0 – 27.7 120.3 19 58.5 – 28.5 120.7 19 27.8 – 29.3 121.0 18 56.8 – 30.2 121.3 18 25.5 – 30.9 121.5 17 54.0 – 31.8 121.8 17 22.2 – 32.5 122.1 21 22 20 32.3 – 27.1 121.0 20 01.3 – 28.0 121.3 19 30.0 – 28.8 121.6 18 58.5 – 29.7 121.9 18 26.6 – 30.4 122.2 17 54.6 – 31.3 122.5 17 22.2 – 32.0 122.7 16 49.7 – 32.8 123.0 22 23 20 05.2 – 27.4 121.9 19 33.3 – 28.2 122.2 19 01.2 – 29.1 122.5 18 28.8 – 29.8 122.8 17 56.2 – 30.7 123.1 17 23.3 – 31.4 123.3 16 50.2 – 32.2 123.6 16 16.9 – 33.0 123.9 23 24 19 37.8 – 27.7 122.9 19 05.1 – 28.6 123.2 18 32.1 – 29.3 123.4 17 59.0 – 30.2 123.7 17 25.5 – 30.9 124.0 16 51.9 – 31.7 124.2 16 18.0 – 32.4 124.5 15 43.9 – 33.1 124.7 24 25 19 10.1 – 28.1 123.8 18 36.5 – 28.8 124.1 18 02.8 – 29.6 124.4 17 28.8 – 30.4 124.6 16 54.6 – 31.1 124.9 16 20.2 – 31.9 125.1 15 45.6 – 32.7 125.4 15 10.8 – 33.4 125.6 25 26 18 42.0 – 28.2 124.7 18 07.7 – 29.0 125.0 17 33.2 – 29.9 125.3 16 58.4 – 30.6 125.5 16 23.5 – 31.4 125.8 15 48.3 – 32.1 126.0 15 12.9 – 32.8 126.2 14 37.4 – 33.6 126.4 26 27 18 13.8 – 28.6 125.7 17 38.7 – 29.4 125.9 17 03.3 – 30.0 126.2 16 27.8 – 30.8 126.4 15 52.1 – 31.6 126.7 15 16.2 – 32.3 126.9 14 40.1 – 33.1 127.1 14 03.8 – 33.7 127.3 27 28 17 45.2 – 28.8 126.6 17 09.3 – 29.5 126.8 16 33.3 – 30.4 127.1 15 57.0 – 31.1 127.3 15 20.5 – 31.8 127.5 14 43.9 – 32.6 127.8 14 07.0 – 33.2 128.0 13 30.1 – 34.0 128.2 28 29 17 16.4 – 29.1 127.5 16 39.8 – 29.8 127.8 16 02.9 – 30.5 128.0 15 25.9 – 31.3 128.2 14 48.7 – 32.0 128.4 14 11.3 – 32.7 128.6 13 33.8 – 33.4 128.8 12 56.1 – 34.1 129.0 29 30 16 47.3 – 29.3 128.4 16 10.0 – 30.1 128.7 15 32.4 – 30.8 128.9 14 54.6 – 31.4 129.1 14 16.7 – 32.2 129.3 13 38.6 – 32.8 129.5 13 00.4 – 33.6 129.7 12 22.0 – 34.2 129.8 30 31 16 18.0 – 29.5 129.3 15 39.9 – 30.2 129.6 15 01.6 – 31.0 129.8 14 23.2 – 31.7 130.0 13 44.5 – 32.3 130.2 13 05.8 – 33.1 130.3 12 26.8 – 33.7 130.5 11 47.8 – 34.4 130.7 31 32 15 48.5 – 29.7 130.2 15 09.7 – 30.5 130.5 14 30.6 – 31.1 130.7 13 51.5 – 31.9 130.8 13 12.2 – 32.6 131.0 12 32.7 – 33.2 131.2 11 53.1 – 33.9 131.4 11 13.4 – 34.5 131.5 32 33 15 18.8 – 30.0 131.1 14 39.2 – 30.7 131.3 13 59.5 – 31.4 131.5 13 19.6 – 32.0 131.7 12 39.6 – 32.7 131.9 11 59.5 – 33.4 132.1 11 19.2 – 34.0 132.2 10 38.9 – 34.7 132.4 33 34 14 48.8 – 30.2 132.0 14 08.5 – 30.8 132.2 13 28.1 – 31.5 132.4 12 47.6 – 32.2 132.6 12 06.9 – 32.8 132.7 11 26.1 – 33.5 132.9 10 45.2 – 34.1 133.0 10 04.2 – 34.8 133.2 34 35 14 18.6 – 30.4 132.9 13 37.7 – 31.1 133.1 12 56.6 – 31.7 133.3 12 15.4 – 32.4 133.5 11 34.1 – 33.1 133.6 10 52.6 – 33.6 133.7 10 11.1 – 34.3 133.9 9 29.4 – 34.9 134.0 35 36 13 48.2 – 30.6 133.8 13 06.6 – 31.2 134.0 12 24.9 – 31.9 134.2 11 43.0 – 32.5 134.3 11 01.0 – 33.1 134.5 10 19.0 – 33.8 134.6 9 36.8 – 34.4 134.7 8 54.5 – 35.0 134.8 36 37 13 17.6 – 30.7 134.7 12 35.4 – 31.4 134.9 11 53.0 – 32.1 135.0 11 10.5 – 32.7 135.2 10 27.9 – 33.3 135.3 9 45.2 – 33.9 135.4 9 02.4 – 34.5 135.5 8 19.5 – 35.1 135.7 37 38 12 46.9 – 30.9 135.6 12 04.0 – 31.6 135.7 11 20.9 – 32.1 135.9 10 37.8 – 32.8 136.0 9 54.6 – 33.4 136.1 9 11.3 – 34.0 136.3 8 27.9 – 34.6 136.4 7 44.4 – 35.2 136.5 38 39 12 16.0 – 31.1 136.5 11 32.4 – 31.7 136.6 10 48.8 – 32.4 136.7 10 05.0 – 32.9 136.9 9 21.2 – 33.6 137.0 8 37.3 – 34.2 137.1 7 53.3 – 34.7 137.2 7 09.2 – 35.3 137.3 39 40 11 44.9 – 31.3 137.3 11 00.7 – 31.9 137.5 10 16.4 – 32.4 137.6 9 32.1 – 33.1 137.7 8 47.6 – 33.6 137.8 8 03.1 – 34.2 137.9 7 18.6 – 34.8 138.0 6 33.9 – 35.3 138.1 40 41 11 13.6 – 31.4 138.2 10 28.8 – 32.0 138.3 9 44.0 – 32.6 138.5 8 59.0 – 33.2 138.6 8 14.0 – 33.8 138.7 7 28.9 – 34.3 138.8 6 43.8 – 34.9 138.8 5 58.6 – 35.5 138.9 41 42 10 42.2 – 31.5 139.1 9 56.8 – 32.1 139.2 9 11.4 – 32.7 139.3 8 25.8 – 33.2 139.4 7 40.2 – 33.8 139.5 6 54.6 – 34.4 139.6 6 08.9 – 35.0 139.7 5 23.1 – 35.5 139.7 42 43 10 10.7 – 31.7 139.9 9 24.7 – 32.3 140.1 8 38.7 – 32.9 140.2 7 52.6 – 33.4 140.3 7 06.4 – 33.9 140.3 6 20.2 – 34.5 140.4 5 33.9 – 35.0 140.5 4 47.6 – 35.5 140.5 43 44 9 39.0 – 31.8 140.8 8 52.4 – 32.3 140.9 8 05.8 – 32.9 141.0 7 19.2 – 33.5 141.1 6 32.5 – 34.1 141.2 5 45.7 – 34.5 141.2 4 58.9 – 35.1 141.3 4 12.1 – 35.6 141.3 44 45 9 07.2 – 32.0 141.7 8 20.1 – 32.5 141.8 7 32.9 – 33.0 141.8 6 45.7 – 33.6 141.9 5 58.4 – 34.0 142.0 5 11.2 – 34.7 142.1 4 23.8 – 35.1 142.1 3 36.5 – 35.7 142.2 45 46 8 35.2 – 32.0 142.5 7 47.6 – 32.6 142.6 6 59.9 – 33.1 142.7 6 12.1 – 33.6 142.8 5 24.4 – 34.2 142.8 4 36.5 – 34.6 142.9 3 48.7 – 35.2 142.9 3 00.8 – 35.7 143.0 46 47 8 03.2 – 32.2 143.4 7 15.0 – 32.7 143.5 6 26.8 – 33.2 143.5 5 38.5 – 33.7 143.6 4 50.2 – 34.2 143.6 4 01.9 – 34.8 143.7 3 13.5 – 35.2 143.7 2 25.1 – 35.7 143.8 47 48 7 31.0 – 32.2 144.2 6 42.3 – 32.7 144.3 5 53.6 – 33.3 144.4 5 04.8 – 33.8 144.4 4 16.0 – 34.3 144.5 3 27.1 – 34.7 144.5 2 38.3 – 35.3 144.5 1 49.4 – 35.7 144.6 48 49 6 58.8 – 32.4 145.1 6 09.6 – 32.9 145.1 5 20.3 – 33.3 145.2 4 31.0 – 33.8 145.3 3 41.7 – 34.3 145.3 2 52.4 – 34.8 145.3 2 03.0 – 35.3 145.4 1 13.7 – 35.8 145.4 49 50 6 26.4 – 32.4 145.9 5 36.7 – 32.9 146.0 4 47.0 – 33.4 146.0 3 57.2 – 33.9 146.1 3 07.4 – 34.4 146.1 2 17.6 – 34.9 146.1 1 27.7 – 35.3 146.2 0 37.9 – 35.8 146.2 50 51 5 54.0 – 32.5 146.8 5 03.8 – 33.0 146.8 4 13.6 – 33.5 146.9 3 23.3 – 33.9 146.9 2 33.0 – 34.3 146.9 1 42.7 – 34.8 147.0 0 52.4 – 35.3 147.0 0 02.1 – 35.7 147.0 51 52 5 21.5 – 32.6 147.6 4 30.8 – 33.0 147.7 3 40.1 – 33.5 147.7 2 49.4 – 34.0 147.7 1 58.7 – 34.5 147.8 1 07.9 – 34.9 147.8 0 17.1 – 35.3 147.8 0 33.6 + 35.8 32.2 52 53 4 48.9 – 32.6 148.5 3 57.8 – 33.1 148.5 3 06.6 – 33.5 148.5 2 15.4 – 33.9 148.6 1 24.2 – 34.4 148.6 0 33.0 – 34.8 148.6 1 09.4 + 35.7 31.4 53 54 4 16.3 – 32.7 149.3 3 24.7 – 33.1 149.3 2 33.1 – 33.6 149.4 1 41.5 – 34.0 149.4 0 49.8 – 34.4 149.4 0 01.8 + 34.9 30.6 C-S Line 1 45.1 + 35.7 30.6 54 (Contrary-Same Line) 55 3 43.6 – 32.7 150.1 2 51.6 – 33.2 150.2 1 59.5 – 33.6 150.2 1 07.5 – 34.1 150.2 0 15.4 – 34.5 150.2 0 36.7 + 34.9 29.8 2 20.8 + 35.7 29.8 55 56 3 10.9 – 32.8 151.0 2 18.4 – 33.2 151.0 1 25.9 – 33.6 151.0 0 33.4 – 34.0 151.0 0 19.1 + 34.4 29.0 1 11.6 + 34.8 29.0 2 04.0 + 35.3 29.0 2 56.5 + 35.7 29.0 56 57 2 38.1 – 32.8 151.8 1 45.2 – 33.2 151.8 0 52.3 – 33.6 151.9 0 00.6 + 34.0 28.1 0 53.5 + 34.4 28.1 1 46.4 + 34.8 28.2 2 39.3 + 35.2 28.2 3 32.2 + 35.6 28.2 57 58 2 05.3 – 32.8 152.7 1 12.0 – 33.2 152.7 0 18.7 – 33.6 152.7 0 34.6 + 34.0 27.3 1 27.9 + 34.4 27.3 2 21.2 + 34.8 27.3 3 14.5 + 35.2 27.4 4 07.8 + 35.6 27.4 58 59 1 32.5 – 32.9 153.5 0 38.8 – 33.3 153.5 0 14.9 + 33.7 26.5 1 08.6 + 34.0 26.5 2 02.3 + 34.4 26.5 2 56.0 + 34.8 26.5 3 49.7 + 35.1 26.6 4 43.4 + 35.5 26.6 59 60 0 59.6 – 32.9 154.3 0 05.5 – 33.2 154.3 0 48.6 + 33.6 25.7 1 42.6 + 34.0 25.7 2 36.7 + 34.4 25.7 3 30.8 + 34.7 25.7 4 24.8 + 35.1 25.7 5 18.9 + 35.4 25.8 60 61 0 26.7 – 32.8 155.2 0 27.7 + 33.3 24.8 1 22.2 + 33.6 24.8 2 16.6 + 34.0 24.8 3 11.1 + 34.3 24.9 4 05.5 + 34.7 24.9 4 59.9 + 35.0 24.9 5 54.3 + 35.4 25.0 61 62 0 06.1 + 32.9 24.0 1 01.0 + 33.2 24.0 1 55.8 + 33.5 24.0 2 50.6 + 33.9 24.0 3 45.4 + 34.2 24.0 4 40.2 + 34.6 24.1 5 34.9 + 35.0 24.1 6 29.7 + 35.3 24.2 62 63 0 39.0 + 32.9 23.2 1 34.2 + 33.2 23.2 2 29.3 + 33.6 23.2 3 24.5 + 33.9 23.2 4 19.6 + 34.3 23.2 5 14.8 + 34.5 23.3 6 09.9 + 34.9 23.3 7 05.0 + 35.2 23.3 63 64 1 11.9 + 32.8 22.3 2 07.4 + 33.2 22.3 3 02.9 + 33.5 22.3 3 58.4 + 33.8 22.4 4 53.9 + 34.1 22.4 5 49.3 + 34.5 22.4 6 44.8 + 34.8 22.5 7 40.2 + 35.1 22.5 64 65 1 44.7 + 32.9 21.5 2 40.6 + 33.1 21.5 3 36.4 + 33.4 21.5 4 32.2 + 33.8 21.5 5 28.0 + 34.1 21.6 6 23.8 + 34.4 21.6 7 19.6 + 34.7 21.7 8 15.3 + 35.0 21.7 65 66 2 17.6 + 32.8 20.6 3 13.7 + 33.1 20.7 4 09.8 + 33.4 20.7 5 06.0 + 33.7 20.7 6 02.1 + 34.0 20.7 6 58.2 + 34.3 20.8 7 54.3 + 34.6 20.8 8 50.3 + 35.0 20.9 66 67 2 50.4 + 32.7 19.8 3 46.8 + 33.1 19.8 4 43.2 + 33.4 19.8 5 39.7 + 33.6 19.9 6 36.1 + 33.9 19.9 7 32.5 + 34.2 20.0 8 28.9 + 34.5 20.0 9 25.3 + 34.8 20.1 67 68 3 23.1 + 32.7 19.0 4 19.9 + 33.0 19.0 5 16.6 + 33.3 19.0 6 13.3 + 33.6 19.0 7 10.0 + 33.9 19.1 8 06.7 + 34.1 19.1 9 03.4 + 34.4 19.2 10 00.1 + 34.6 19.2 68 69 3 55.8 + 32.7 18.1 4 52.9 + 32.9 18.1 5 49.9 + 33.2 18.2 6 46.9 + 33.4 18.2 7 43.9 + 33.7 18.3 8 40.8 + 34.0 18.3 9 37.8 + 34.3 18.3 10 34.7 + 34.6 18.4 69 70 4 28.5 + 32.6 17.3 5 25.8 + 32.9 17.3 6 23.1 + 33.1 17.3 7 20.3 + 33.4 17.4 8 17.6 + 33.6 17.4 9 14.8 + 33.9 17.5 10 12.1 + 34.1 17.5 11 09.3 + 34.4 17.6 70 71 5 01.1 + 32.6 16.4 5 58.7 + 32.8 16.5 6 56.2 + 33.0 16.5 7 53.7 + 33.3 16.5 8 51.2 + 33.6 16.6 9 48.7 + 33.8 16.6 10 46.2 + 34.0 16.7 11 43.7 + 34.2 16.7 71 72 5 33.7 + 32.4 15.6 6 31.5 + 32.7 15.6 7 29.2 + 33.0 15.7 8 27.0 + 33.2 15.7 9 24.8 + 33.4 15.7 10 22.5 + 33.6 15.8 11 20.2 + 33.9 15.8 12 17.9 + 34.1 15.9 72 73 6 06.1 + 32.4 14.8 7 04.2 + 32.6 14.8 8 02.2 + 32.8 14.8 9 00.2 + 33.0 14.9 9 58.2 + 33.2 14.9 10 56.1 + 33.5 14.9 11 54.1 + 33.7 15.0 12 52.0 + 34.0 15.1 73 74 6 38.5 + 32.3 13.9 7 36.8 + 32.5 13.9 8 35.0 + 32.7 14.0 9 33.2 + 33.0 14.0 10 31.4 + 33.2 14.1 11 29.6 + 33.4 14.1 12 27.8 + 33.6 14.2 13 26.0 + 33.8 14.2 74 75 7 10.8 + 32.3 13.1 8 09.3 + 32.4 13.1 9 07.7 + 32.6 13.1 10 06.2 + 32.8 13.2 11 04.6 + 33.0 13.2 12 03.0 + 33.2 13.2 13 01.4 + 33.4 13.3 13 59.8 + 33.6 13.4 75 76 7 43.1 + 32.1 12.2 8 41.7 + 32.3 12.2 9 40.3 + 32.5 12.3 10 39.0 + 32.6 12.3 11 37.6 + 32.8 12.4 12 36.2 + 33.0 12.4 13 34.8 + 33.2 12.4 14 33.4 + 33.4 12.5 76 77 8 15.2 + 32.0 11.4 9 14.0 + 32.2 11.4 10 12.8 + 32.4 11.4 11 11.6 + 32.5 11.5 12 10.4 + 32.7 11.5 13 09.2 + 32.9 11.5 14 08.0 + 33.0 11.6 15 06.8 + 33.2 11.6 77 78 8 47.2 + 31.9 10.5 9 46.2 + 32.0 10.5 10 45.2 + 32.2 10.6 11 44.1 + 32.4 10.6 12 43.1 + 32.5 10.6 13 42.1 + 32.7 10.7 14 41.0 + 32.9 10.7 15 40.0 + 33.0 10.8 78 79 9 19.1 + 31.7 9.6 10 18.2 + 31.9 9.7 11 17.4 + 32.0 9.7 12 16.5 + 32.2 9.7 13 15.6 + 32.4 9.8 14 14.8 + 32.5 9.8 15 13.9 + 32.6 9.9 16 13.0 + 32.8 9.9 79 80 9 50.8 + 31.7 8.8 10 50.1 + 31.8 8.8 11 49.4 + 31.9 8.8 12 48.7 + 32.0 8.9 13 48.0 + 32.1 8.9 14 47.3 + 32.3 8.9 15 46.5 + 32.5 9.0 16 45.8 + 32.6 9.0 80 81 10 22.5 + 31.5 7.9 11 21.9 + 31.6 7.9 12 21.3 + 31.7 8.0 13 20.7 + 31.9 8.0 14 20.1 + 32.0 8.0 15 19.6 + 32.0 8.1 16 19.0 + 32.2 8.1 17 18.4 + 32.3 8.2 81 82 10 54.0 + 31.3 7.1 11 53.5 + 31.5 7.1 12 53.0 + 31.6 7.1 13 52.6 + 31.7 7.1 14 52.1 + 31.8 7.2 15 51.6 + 31.9 7.2 16 51.2 + 32.0 7.2 17 50.7 + 32.1 7.3 82 83 11 25.3 + 31.2 6.2 12 25.0 + 31.2 6.2 13 24.6 + 31.4 6.2 14 24.3 + 31.4 6.3 15 23.9 + 31.6 6.3 16 23.5 + 31.7 6.3 17 23.2 + 31.7 6.3 18 22.8 + 31.8 6.4 83 84 11 56.5 + 31.0 5.3 12 56.2 + 31.2 5.3 13 56.0 + 31.2 5.4 14 55.7 + 31.3 5.4 15 55.5 + 31.3 5.4 16 55.2 + 31.4 5.4 17 54.9 + 31.5 5.5 18 54.6 + 31.6 5.5 84 85 12 27.5 + 30.9 4.4 13 27.4 + 30.9 4.5 14 27.2 + 31.0 4.5 15 27.0 + 31.1 4.5 16 26.8 + 31.1 4.5 17 26.6 + 31.2 4.5 18 26.4 + 31.3 4.6 19 26.2 + 31.4 4.6 85 86 12 58.4 + 30.7 3.6 13 58.3 + 30.7 3.6 14 58.2 + 30.8 3.6 15 58.1 + 30.8 3.6 16 57.9 + 30.9 3.6 17 57.8 + 31.0 3.6 18 57.7 + 31.0 3.7 19 57.6 + 31.0 3.7 86 87 13 29.1 + 30.5 2.7 14 29.0 + 30.6 2.7 15 29.0 + 30.5 2.7 16 28.9 + 30.6 2.7 17 28.8 + 30.7 2.7 18 28.8 + 30.6 2.7 19 28.7 + 30.7 2.8 20 28.6 + 30.8 2.8 87 88 13 59.6 + 30.3 1.8 14 59.6 + 30.3 1.8 15 59.5 + 30.4 1.8 16 59.5 + 30.4 1.8 17 59.5 + 30.4 1.8 18 59.4 + 30.5 1.8 19 59.4 + 30.5 1.8 20 59.4 + 30.4 1.9 88 89 14 29.9 + 30.1 0.9 15 29.9 + 30.1 0.9 16 29.9 + 30.1 0.9 17 29.9 + 30.1 0.9 18 29.9 + 30.1 0.9 19 29.9 + 30.1 0.9 20 29.9 + 30.1 0.9 21 29.8 + 30.2 0.9 89 90 15 00.0 + 29.9 0.0 16 00.0 + 29.9 0.0 17 00.0 + 29.9 0.0 18 00.0 + 29.9 0.0 19 00.0 + 29.9 0.0 20 00.0 + 29.9 0.0 21 00.0 + 29.8 0.0 22 00.0 + 29.8 0.0 90 15(cid:176) 16(cid:176) 17(cid:176) 18(cid:176) 19(cid:176) 20(cid:176) 21(cid:176) 22(cid:176) {L.H.A. greater than 180(cid:176) ....Zn=180(cid:176)–Z LATITUDE SAME NAME AS DECLINATION L.H.A. 120(cid:176), 240(cid:176) S. Lat. L.H.A. less than 180(cid:176)............Zn=180(cid:176)+Z FIGURE2 VII
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