MATLAB

GM/r^2 - Gm/(R-r)^2 = omega^2 r where M and m are the Earth and Moon masses, G is Newton's gravitational constant, and omega is the angular velocity of both the Moon and the satellite (Remind yourself about the centripetal forces b) The equation above is a fifth-order polynomial equation in r (also called a quintic equation). Such equations cannot be solved exactly in closed form, but it's straightforward to solve them numerically. Write a Matlab program that uses either 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^-1s^-2 M-5 974 times 10^24 kg, m - 7.348 x 10^22 kg, R 3.= 3.844 x 10^8m 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