Newton's Second Law of Motion gives for the ith star, Mi X; E Fij jti where F;; is the force exerted on the ith star by the jth star. Using the law of universal gravitation, G mi mj Σ |X; – x;|3 (х, — х,) . | j#i

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Chapter4: Origins Of Modern Astronomy
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How does F becomes such form, why power of 3, and why times (xi-xj)?

 

Newton's Second Law of Motion gives for the ith star,
m; X;
E Fij
jti
where F;; is the force exerted on the ith star by the jth star. Using the law of universal
gravitation,
G mi mj
Σ
(x; - x;)
m; *;
|x; - x;|3
jfi
Transcribed Image Text:Newton's Second Law of Motion gives for the ith star, m; X; E Fij jti where F;; is the force exerted on the ith star by the jth star. Using the law of universal gravitation, G mi mj Σ (x; - x;) m; *; |x; - x;|3 jfi
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