Mcanique Cleste volume 1

Cover Mcanique Cleste volume 1
Mcanique Cleste volume 1
Pierre Simon Laplace
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9 = - — ;-, . —-. : ° ■■ „, : — .
6 ^ Sin. (13' — ;) + sin. {^" —j) + he.
38. There is a case, which however very rarely occurs, in which the orbit of a comet may be determined rigorously in a simple manner ; this happens [832'] when the comet has been observed in both nodes. The right line drawn through these two observed positions then passes through the sun's centre, and coincides with the line of nodes. The length of this line is ascertained [832"] by the time elapsed between the two observ
...ations ; putting T for this time reduced to decimals of a day, and denoting by c the proposed right line, we * (582) The equation [8306], for computing tang.^, using the second observation p', «', instead of the third ^", -si", becomes tang, -a . {sin. P' — cos. P' . Tang. /} = tang, z/ . {sin. P — cos. P . T^ng. Y}, and in a similar way, by using $"', zi"\ instead of p", -a/', we obtain tang, zs . { sin. P'" — cos. ^"' . Tang. J } = tang, s/" . { sin. (3 — cos. ^ . Tang.

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