posted by Sam .
A orbiting satellite stays over a certain spot on the equator of (rotating) Pluto. What is the altitude of the orbit (called a "synchronous orbit")?
The planet's siderial period is 6d-9h-17m or 551,820 seconds.
A planet's orbital period derives from T = 2(Pi)sqrt(r^3/µ3) where T = the orbital period in seconds, r = the orbital radius in feet and µ = the planet's gravitational constant, 1.56259x10^15.
Substituting yields r = 43,423.63 miles or an altitude of 41,870 miles.