+178 Two objects each with mass \(M_1\) and \(M_2\) is presented in the space, given the following statements:
1. \(M_1>M_2\)
2.Both objects have initial velocity \(v=0\)
3.The distance between the two objects \(= D\)
4.Assume that both of their mass is concentrated at each of their own center of gravity, and both object's size \(=0\)
5.Gravity decreases with the inverse square of distance to an object.
Answer the following questions:
1.Find the point between \(M_1\) and \(M_2\) where the gravity from both of them are the same (\(L_1\)).
2.Find the point where they hit each other.
3.Find the center of mass of the system.
+178 Your answer to the 2nd and the 3rd question is correct, good job! (You must have read a lot of books about classical physics didn't you.)
But for the 1st question, the question states that \(M_1>M_2\), that means their first Lagrangian point won't be midway between the two objects, but closer to \(M_2\), like how the point between the Sun and the Earth is closer to Earth than Sun does :D
