Introduction to Classical Mechanics · Problem 7.16
Angular momentum, Part I (Constant L) — Morin
Physics — Mechanics · gravity-kepler-laws
Problem
Skimming a planet **
A particle travels in a parabolic orbit in a planet's gravitational field and skims the surface at its closest approach. The planet has mass density ρ. Relative to the center of the planet, what is the angular velocity of the particle as it skims the surface?