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Are you certain that your model is conserving energy? I have worked
with many finite-difference models in the past, and from my experience
it is very possible and even probable that you are not conserving
energy.
I don't know what scheme you are using to determine the orbits, but you
might want to consider using a different one. Two of the simpler ones
are called
- the velocity Verlet algorithm
- the 4th order Runge-Kutta algorithm
Besides this, I'm sure that there are a variety of special algorithms
for planetary motion.
Good luck.
In Him,
Ben
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