500 Examples and Problems of Applied Differential Equations by Ravi P. Agarwal & Simona Hodis & Donal O’Regan

Author:Ravi P. Agarwal & Simona Hodis & Donal O’Regan
Language: eng
Format: epub
ISBN: 9783030263843
Publisher: Springer International Publishing

6.27

The motion of a moon moving in a planar orbit about a planet is governed by the equations

where is the gravitational constant, and M is the mass of the moon. Assume that Use Runge–Kutta method to find numerical solution of this system on the interval [0, 40] with the step-size

(1) with and observe that the motion is a circular orbit of radius and period (see Remark 3.​1).

(2) with and observe that the motion is an elliptical orbit with major semiaxis and period

(3) with and investigate the orbit.

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