Janus and Epimethius
In this integration we focus on the behaviour of Janus (orange) and
Epimethius (green). These satellites are of roughly similar mass
and in almost identical orbits. It would be impossible for them to
pass each other.
There is a small difference in their periods which means that the
one with the shorter period will catch up with the other one
eventually. When that happens their mutual attraction will cause a
reversal of roles. The one with the shorter period is accelerated into
a slightly higher orbit with a longer period. The one with the longer
period is accelerated into a lower orbit with a shorter period. The
two satellites seem to bounce backwards and forwards.
This effect is highlighted using a "strobe" effect. The display
interval for the integration is set a 0.7 days. Both satellites have
periods close to, but not exactly 0.7 days. This means that they
appear to move slightly between each display. Their close approach and
mutual 'horseshoe' repeats approximately every 4 years.
This integration includes the 1) Sun 2)Jupiter, Uranus and Neptune
system baricentres 3)Saturn body and the two satellites mentioned. The
integration step is very small to maintain accuracy. The display step
is fixed at 0.7 days.
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