Keplerian Mechanics

Kepler's Laws

  1. Planets move in elliptical orbits about the sun with the sun at one focus.
  2. The area per unit time swept out by a radius vector from the sun to a planet is constant.
  3. The square of a planet's period is proportional to the cube of the major axis of the planet's orbit.

Kepler's Equation

Kepler's equation relates the mean anomaly, M, and eccentricity, e, to the eccentric anomaly, E. The eccentric anomaly is the actual angle between the satellite's position and perigee.

M = e * sin(E)