Re: Figure-eight orbit technical
From: khufu (unspamsimonedgeworth_at_yahoo.com)
Date: 11/29/04
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Date: 29 Nov 2004 02:30:03 -0800
"Greg Neill" <gneillREM@OVE.THIS.netcom.ca> wrote in message news:<6luqd.4717$Ad3.300941@news20.bellglobal.com>...
>
> Take a look here:
> http://www.ams.org/new-in-math/cover/orbits5.html
> Follow some of the links therein. Some amazing orbit
> simulations are there, including an 11-object choreography.
>
Thanks, fascinating stuff.
>
> Starting parameters are found numerically by successively
> perturbing a starting path to minimize the action.
> ...
>
Good, this means that the starting parameters are almost exact (not
completely exact), which is what I needed to know. Thanks.
I have been experimenting with some of Bob Jenkins' variations of the
figure-eight orbit. You can get a wide variety of orbits which
oscillate or tumble in 3 dimensions, eventually filling or partially
filling a sphere. It will be great when the new 3D screens become
affordable so these orbits can be fully appreciated.
In my opinion these orbits are important. I think it is likely that a
real 3D figure-eight orbit will be found within the next 3 years.
Could be deduced from a good radial velocity curve of one (or more) of
the stars.
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