In gravity, a particle mass $m$ is in linear motion on the x axis with a mass $M$ at the origin. Initially $v_0$ velocity and position $x_0$. After time delta T, what is the new position and velocity, $v_1$ and $x_1$? I have a degree in physics from 50 years ago and have forgotten how to solve this!
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2Are you looking for the Radial trajectory article at Wikipedia? – Alfred Centauri May 17 '17 at 00:12