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A body of mass $\mu$ is projected from a hypothetical planet, mass $16M$ and radius $2R$, towards another planet of mass $M$ and radius $R$. Plot the gravitational potential seen by the body as function of distance from the center of the first planet. The distance between the centers of the planet is given to be $10R.$
- Find the equilibrium point, if any, on the line joining the two planets.
- Discuss what happens when the particle is displaced a little towards one of the planets. Is the equilibrium stable or unstable?
- Find the minimum velocity with which the particle be projected from the surface of the first planet so that it may reach the second planet.
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4727:Diamond Point
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