Conclusions
- As a planet migrates in:
- Prograde moons migrate outwards
- Retrograde moons migrate inwards
- This motion can be predicted for moons with low eccentricity
using a simple invariant of motion.
- It matters naught in the long run, because the Hill sphere
collapses faster than the retrograde moons can migrate inward.
All moons at reasonable distances are lost.
- Points at which moons are lost agree with work by Doug Hamilton.
- Things are worse than you think: when the eccentricities of
outer large moons get pumped up near their end, they'll start to
mess with the inner moons, with disastrous (and hilarious?)
results.
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By John Weiss
Rendered Sunday 30 March 2003