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Nicely done - I like the option to spin around the group and get a 3D feel for it, but it seems that all the examples you have are strictly planar. Are there an
by sengstrom 13y ago
Nicely done - I like the option to spin around the group and get a 3D feel for it, but it seems that all the examples you have are strictly planar. Are there any true 3D solution to these choreographed N-body problems?
- ISL 13y agoThe problem is vastly easier with initial positions and velocities constrained to the plane. If they start that way, they can't ever leave. Even if you have a coulomb/newtonian potential, proving stability will be far more straightforward. I'd love to be surprised, but I suspect closed and collisionless solutions with any out-of-plane components would be newsworthy and immediately publishable.
- csense 13y ago> closed and collisionless solutions with any out-of-plane components would be newsworthy and immediately publishable. Trivial example: What about two tiny spaceships (they're small enough that their effect on each other is negligble) orbiting a star, one orbiting in the XY plane the other in the XZ plane?
- peterarmitage 13y agoThanks. I'm not a physicist, I was merely drawing pretty pictures based on real physicists' work. The examples in the paper are all planar (and have zero angular momentum), but it would be easy to simulate arbitrary orbits if any are published.