Programming gravity simulator in python. 

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This computation scheme may be unstable because the small computation errors acts in the same direction: they increase the full energy of the system on each step. This is an issue which was meet by astronomers in 19-20 centuries. One of ways may be to calculate full energy and watch a delta on each step and then correct velocities of the planets.

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I would recommend Runge-Kutta 4 for simulating something like that. It is way more stable than Eulers Method, but at the same difficulty level.

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The file name though ✌