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Gravity and planets

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Tetsuya
Matsuno
This is a slightly modified version of the example 2.7 in the Shiffman's book "Nature of code." Note: Surprisingly, the update functions for the movers(planets) implement what is called the symplectic integrator, which preserves exactly the volume of the phase space for the Hamiltonian dynamics. Therefore, the planets on the elliptic orbits never diverge into infinity and never converge into the sun. That is a good characteristics for this kind of simulation.
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