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Re: Chaotic Motion?
Posted By: Loren Petrich <petrich@netcom.com>Date: 10/22/99 4:09 p.m.

In Response To: Re: Chaotic Motion? (Toby Haynes)

> Add nutation as well - the oscillation in the axis of rotation.
> The Earth does this, on some timescale (40,000 years? - I
> forget)

Nutation is simply the periodic part of precession, a result of the perturber not being a continuous ring, and its size is approximately the amount of precession over the appropriate period, in this case, Halo's orbit period around Jonesworld.

[A lot of stuff on other constraints on the rotation rate...]

However, those are issues separate from what I'd been concerned with. If Halo's rotation rate approaches its orbit rate, then its nutation amplitude approches 1, meaning that long-term precession is no longer noticeable and that Halo will tumble chaotically.

> Be careful with floating point roundoff and errors - it's very
> easy to end up with errors building up to significant degrees
> very quickly unless your differential equation solver is either
> very accurate, or has errors which average to zero over time. ...

I get your point. What could happen here is that the rotation either speeds up or slows down, neither of which is expected to happen.

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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