Mcanique Cleste volume 3

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Mcanique Cleste volume 3
Pierre Simon Laplace
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Hence, if we suppose the inequality of the nutation to [46356] jjg 9. ', 648, as in [46. 34], that of the precession will be — 2x9%64S. Cot. 2 A; and by using 2A = 520, 1592=46''56'"3. Y, 8, it becomes — 18', 03, as in [4G35J.
Before concluding this note we may observe, that the late estimates of these masses, by different astronomers, have already been given in [4061 rf — ni].
[4640] VI. Xvii. ^ 45. ] ASTRONOMICAL TABLES. INVARIABLE PLANE. 341 [4G43] CHAPTER XVII.
ON THE FOEMATION OF ASTRONOMI
...CAL TABLES, AND ON THE INVARIiVCLE PLANE OF THE PLANETARY SYSTEM.
45. We shall now proceed to explain the method which must be used in constructing astronomical tables. We have given the inequalities, in longitude and in latitude, to a quarter of a centesimal second ; but the most perfect observations do not attain to that degree of accuracy ; so that we may simplify the calculations, by neglecting the inequalities which are less than a centesimal second. We must form, by means of a great number of observations, selected and combined in the most advantageous manner, the same number of equations of condition, between the corrections of the elliptical elements of each planet.


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