Standish's "Pluto" is the Pluto-Charon barycentre, and Charon is an eighth of Pluto's mass, so
that point lies 2 131 km from Pluto's centre, 943 km above its surface. Drawn the usual way, with
Pluto at its row's position and Charon going round it, Pluto sits where nothing is and Charon's
orbit is 2 131 km too wide on one side.
A moon record can now carry massRatio, its mass over its planet's. For such a moon the renderer
keeps the pivot at the planet's elements, which is the barycentre, and each tick puts the planet
massRatio / (1 + massRatio) of the relative separation back from it and the moon the rest out.
Both orbits are the relative ellipse scaled, the moon's by 1 / (1 + q) and the planet's by
-q / (1 + q), turned with the moon's node every tick: Charon's spans 17 460 km of radius and
Pluto's 2 131, round the same point, and neither passes through Pluto. Only Charon will carry it;
every other moon's barycentre is inside its planet.
Checked against Horizons in the unit suite, on JPL's records for the two: Pluto (999) from the
Pluto-system barycentre (9) in 2100 is 2 131.24 km out, and the renderer puts it within 5 km of
that length and 0.5 degrees of that direction, exactly opposite Charon at the inverse of their
mass ratio; Charon from Pluto is within 0.5 degrees of Horizons in 2100 (measured 0.37). The same
table adds Titania, against Uranus's equator 120 years from its 1980 epoch, within 0.75 (measured
0.62).
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
SenrokaiandClaude Opus 5.5
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