High Quality Content by WIKIPEDIA articles! Softening is a numerical trick used in N-body techniques to prevent numerical divergences when a particle comes too close to another. The n-body problem is the problem of predicting the motion of a group of celestial objects that interact with each other gravitationally. Solving this problem has been motivated by the need to understand the motion of the sun, planets and the visible stars. Its first complete mathematical formulation appeared in Isaac Newton's Principia. Since gravity was responsible for the motion of planets and stars, Newton had to express gravitational interactions in terms of differential equations. An important fact, which Newton proved in the Principia, is that celestial bodies can be modelled as point masses.

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