The motion of n planets (Po, P₁,..., Pn-1) is governed by the set of 6n first order ODEs n r₁ = V₁_and_vi' = Σ Gm; j=1ji rj - ri d¾ 3 (5.10) where mi, ri(t) and vi(t) are the mass, position vector and velocity of the planet Pi, respectively. The scalar dij = dji = ||r¡—ri|| is the distance between the two planets Pi and Pj. The gravitational constant, G, can be taken equal to 1 without loss of generality.

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter1: Fundamentals Of C++ Programming
Section: Chapter Questions
Problem 2PP: (Conversion) An object’s polar moment of inertia, J, represents its resistance to twisting. For a...
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The motion of n planets (Po, P₁,..., Pn-1) is governed by the set of 6n first order ODEs
n
r₁ = V₁_and_vi' = Σ Gm;
j=1ji
rj - ri
d¾
3
(5.10)
where mi, ri(t) and vi(t) are the mass, position vector and velocity of the planet Pi, respectively.
The scalar dij = dji = ||r¡—ri|| is the distance between the two planets Pi and Pj. The gravitational
constant, G, can be taken equal to 1 without loss of generality.
Transcribed Image Text:The motion of n planets (Po, P₁,..., Pn-1) is governed by the set of 6n first order ODEs n r₁ = V₁_and_vi' = Σ Gm; j=1ji rj - ri d¾ 3 (5.10) where mi, ri(t) and vi(t) are the mass, position vector and velocity of the planet Pi, respectively. The scalar dij = dji = ||r¡—ri|| is the distance between the two planets Pi and Pj. The gravitational constant, G, can be taken equal to 1 without loss of generality.
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