Question

what is parabolic speed of mass m with respect to mass m when distance between two masses is infinity

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Answer 1

In physics (specifically, celestial mechanics), escape velocity is the minimum speed needed for a free, non-propelled object to escape from the gravitational influence of a massive body, that is, to eventually reach an infinite distance from it. Escape velocity rises with the body's mass and falls with the escaping object's distance from its center. The escape velocity thus depends on how far the object has already travelled, and its calculation at a given distance takes into account the fact that without new acceleration it will slow down as it travel, due to the massive body's gravity-- but it will never quite slow to a stop.

For a spherically symmetric, massive body such as a star, or planet, the escape velocity for that body, at a given distance, is calculated by the formula[3]

{\displaystyle v_{e}={\sqrt {\frac {2GM}{r}}}}v_{e}={\sqrt {\frac {2GM}{r}}}

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