| First, the normal view of solar system. Cruithne is the purple
ellipse. Earth is the blue circle. This simulation includes all the
planet, but doesn't handle relativity, and the earth/moon system are
lumped into one point.
You can use the mouse to start and stop the image, and to move the
view point (by dragging).
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| Next, the most informative view the applet can manage, a strobe
version drawn once per Earth year. Since every year Earth comes back
to the same point in its orbit, and this is drawn once per year, Earth
appears to stay fixed. Cruithne also has an orbit of almost one year,
that's why consecutive purple dots are close to one another.
Cruithne has an orbit slightly less than a year at first, then
when it approaches Earth it slows down to slightly more than a year,
and back and forth and back and forth. The little wobbles in
Cruithne's orbit are apparently due to Jupiter.
I didn't include any planets beyond Jupiter, for speed.
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| Strobe version again. Side view. Earth remains a blue dot. Note
that Cruithne is pretty far out of the main plane of the solar
system. All the planets are included. You can drag the image if you
want to try different viewpoints.
The numbers in the upper left-hand corner are number of years, and
energy difference from the start of the simulation. (Ideally energy
is conserved, but the simulator isn't perfect.) Official estimates say
Cruithne should leave this orbit in around 5000 years. This
simulation says it stays in about the same orbit, but resonance gets
spotty around 5000 years and goes away entirely around 10000.
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| Here's the same thing again, but with coordinates supplied by Paul
Weigert, who is studying the orbit of Cruithne. Are this simulation
and the previous one noticeably different (other than having slightly
different viewpoints)?
I'm not accounting for relativity. The simulation says the
oscillation takes about 760 years. The official estimate is 770
years. Is that due to relativity or a bug in the simulator?
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| Finally, the normal view again, no strobe, no trails. Everything
beyond Jupiter was removed for speed. Planets are drawn bigger than they
really are.
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