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Re: Chaotic Motion?
Posted By: Loren Petrich <petrich@netcom.com>Date: 10/21/99 6:09 p.m.

In Response To: Re: Chaotic Motion? (Butcher)

... L1 [where the Halo is] isn't as stable as the Trojan
> points, but it's still pretty stable.

Actually, there are 5 Lagrangian points in a two-body circular-orbit system. 3 of them are on a line with those two bodies, and the remaining 2 are at vertices of an equilateral triangles in the bodies' orbit plane, with those bodies being at the other vertices. To be specific:

L1 is between the two bodies
L2 is beyond the less massive one
L3 is beyond the more massive one
L4 is the leading triangle vertex
L5 is the lagging triangle vertex

The first three are always unstable, while the last two are unstable if the less massive body has more than 1/25 the mass of the more massive one. For objects orbiting Jonesworld, this will always be the case, even for the Jonesworld-Zartmoon L4 and L5 points (Trojan points), unless Zartmoon is more massive than I had estimated.

> It would be interesting to add in the contributions caused by
> the Halo's angular momentum. But the mathematics are well beyond
> me with this much sleep, so I think I'll pass. :)

Halo's rotational angular momentum is about 1/600 its orbital angular momentum, so it will be insignificant.

Message Index



Replies:

Chaotic Motion?Loren Petrich 10/21/99 2:31 a.m.
     Re: Chaotic Motion?Butcher 10/21/99 4:25 p.m.
           Re: Chaotic Motion?Loren Petrich 10/21/99 6:09 p.m.
                 Halo's MotionNathan 10/22/99 9:26 a.m.
                       Re: Halo's MotionLoren Petrich 10/22/99 4:51 p.m.
                 Re: Chaotic Motion?Butcher 10/22/99 5:51 p.m.
     Re: Chaotic Motion?Dispatcher 10/21/99 8:30 p.m.
           Re: Chaotic Motion?Loren Petrich 10/22/99 12:08 a.m.
                 Re: Chaotic Motion?Daft Shadow =PN= 10/22/99 12:43 a.m.
                       Halo Precession SimulatorLoren Petrich 10/22/99 2:01 a.m.
     Re: Chaotic Motion?Toby Haynes 10/22/99 9:21 a.m.
           Re: Chaotic Motion?Loren Petrich 10/22/99 4:09 p.m.



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