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Climate and Time in Their Geological Relations

Note 194 — Chapter XIX · GEOLOGICAL TIME.—PROBABLE DATE OF THE GLACIAL EPOCH.

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The following are M. Leverrier’s formulæ for computing the eccentricity of the earth’s orbit, given in his “Memoir” in the

Connaissance des Temps

for 1843:—

Eccentricity in (t) years after January 1, 1800 = √h2 + l2 where

h = 0·000526 Sin (gt + ß) + 0·016611 Sin (g1t + ß1) + 0·002366 Sin (g2t + ß2) + 0·010622 Sin (g3t + ß3) − 0·018925 Sin (g4t + ß4) + 0·011782 Sin (g5t + ß5) − 0·016913 Sin (g6t + ß6)

and

l = 0·000526 Cos (gt + ß) + 0·016611 Cos (g1t + ß1) + 0·002366 Cos (g2t + ß2) + 0·010622 Cos (g3t + ß3) − 0·018925 Cos (g4t + ß4) + 0·011782 Cos (g5t + ß5) − 0·016913 Cos (g6t + ß6)

g = 2″·25842 ß = 126° 43′ 15″

g1 = 3″·71364 ß1 = 27 21 26

g2 = 22″·4273 ß2 = 126 44 8

g3 = 5″·2989 ß3 = 85 47 45

g4 = 7″·5747 ß4 = 35 38 43

g5 = 17″·1527 ß5 = −25 11 33

g6 = 17″·8633 ß6 = −45 28 59

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