click to view the MPEG movie (cliquez pour voir le film MPEG)

N-body problem integration (N=2) displaying a perfect Keplerian orbit [Intégration du problème des N-corps (N=2) montrant une orbite keplérienne parfaite (ellipse)].

When staying strictly inside the newtonian context, one can demonstrate that the trajectory of a body around another one is a perfect ellipse.

Let's recall its cartesian equation:
                         2        2
                    | x |    | y |
                    |---|  + |---| = 1
                    | a |    | b |

See a related picture:

N-body problem integration (N=2)displaying a perfect Keplerian orbit (an ellipse)

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