01:750:109 Study Guide - Midterm Guide: Orbital Speed
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Newton"s law of gravity: the speed of light is c = 3. 0 108 m/s, 1 au = 1. 5 1011 m, sun: mass m! = 5800 k: here are properties of the major planets in our solar system: Density: where g = 6. 67 10 11 m3 kg 1 s 2. Let r1 and v1 be a planet"s distance from the sun and orbital speed at perihelion, and let r2 and v2 be the corresponding quantities at aphelion. Then kepler"s second law implies the relation r1v1 = r2v2. F = t 4 where = 5. 67 10 8 w m 2 k 4. Kepler"s third law, with m in solar masses, a in au, and p in years: Kepler"s third law, with m in earth masses, a in km, and p in seconds: a3.