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DanceWithDragon

Quick review for high school physics. According to Newton's law of universal gravitation. The force caused by other star is ${GMm\over r^2}$, and the gravity is $g = {GM\over r^2}$ $G$ is constant, $m$ is the mass of star itself, $M$ is the mass of the other star, and $r$ is the distance between stars.

If $r$ is large enough, the contribution to total force can be really small. Thus, we can approximate it by grouping its neighbors.

For detail, see the wiki page