Robert I. Eachus dice... > Bj�rn Persson wrote: > > > I didn't mean to say that the Sun doesn't affect the Moon. "If what J-P > > wrote were true, the Moon would not orbit both the Sun and the Earth, as > > it does, but only orbit the solar system's center of gravity (if we > > ignore the rest of the universe)." Is that better? > > > > You can't choose your words too carefully when there are Ada language > > lawyers in the audience. :-) > > I think you missed my point. Earth's moon is unique in the solar > system. It is the only moon whose path around the Sun doesn't cross > itself. In fact, the effect of the Earth's gravity is so slight that if > you are calculating the Moon's orbit, it is better to compute it the > same way as other planets. (Treat it as orbiting the sun, with > perturbations by the gravity from other planets. For all other moons, > you are better off calculating them as orbiting some planet, with the > Sun's gravitational effect as a perturbation.) I had never stopped to think about it, but if I understand you correctly, that means that the Moon's orbit has a zig-zag path. Nice :) I'll look further into your Runge-Kutta suggestion, thanks.