Scientific Papers volume 2

Cover Scientific Papers volume 2
Scientific Papers volume 2
George Howard Darwin
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Const. = my e; his T' = my 2?r/Q ; his n = my v; his w = my n; his I = my t ; his i = ray j ; and his r is the period of revolution of the nodes, and therefore = my 2ir/(a - /3). Then since my r = 3ft 2 /2 (l + t>), the above in my notation is 304 RESULTS OF THE INTEGRATION. [6 ecliptic, and Si as the amplitude of the 19-y early nutation. These are very small angles, and therefore initially the method of Part II. Was applicable.
Now consider the final condition.
Since the integrations of the tw
...o periods have extended from = 1 to '88, and again from = 1 to '76, r = TO (-88 x -76)- 6, O = n o (-88 x -76)- 3, k = k (-88 x -76)- 1 also the value of n which gives the day of 9 hrs. 55 m. Is given by log 7i = 3-74451, and log g + 10 = 1*21217, when the year is the unit of time.
We now have * = 17 4', j = 6 21'.
Using these values in (115) and (112), I find a = -10872, =-00627, a = '00563, b = "00510 ab is still small compared with (a /3), but not negligeable. By (117) ) Vv KI K 2 = V(a - /3) 2 + 4ab = (-$) '-, , also ^ + K = (a.


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