Question: ****ANSWER USING MATLAB PLEASE**** Gm/r^2 - Gm/(R - r)^2 = omega^2 r. where and m are the Earth and Moon masses, G is New ton's
****ANSWER USING MATLAB PLEASE****
Gm/r^2 - Gm/(R - r)^2 = omega^2 r. where and m are the Earth and Moon masses, G is New ton's gravitational constant, and omega is the angular velocity of both the Moon and the satellite (Remind yourself about the centripetal forces). The equation above is a fifth-order polynomial equation in r (also called a equation). Such equations cannot be solved exactly in closed form, but it's straightforward to solve them numerically. Write a MATLAB program that uses cither Newton's method or the bisection method to solve for the distance r from the Earth to the L_1 point. Compute the solution accurate to at least four significant figures. The values of the various parameters are: G - 6.674 times 10^-11 m^3 kg^-1 s^-2 M = 5.974 times 10^24 kg, m = 7.348 times l0^22kg, R = 3.844 times 10^8 m, omega = 2.662 times 10^-6 s^-1 You will also need to choose a suitable starting value for r, or two starting values if you use the bisection method
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