Specific Relative Angular Momentum - Elliptical Orbit

Elliptical Orbit

In an elliptical orbit, the specific relative angular momentum is twice the area per unit time swept out by a chord from the primary to the secondary: this area is referred to by Kepler's second law of planetary motion.

Since the area of the entire orbital ellipse is swept out in one orbital period, is equal to twice the area of the ellipse divided by the orbital period, giving the equation

.

where

  • is the semi-major axis
  • is the semi-minor axis
  • is the semi-latus rectum
  • is the gravitational constant
  • , are the two masses.

Read more about this topic:  Specific Relative Angular Momentum

Famous quotes containing the word orbit:

    “To my thinking” boomed the Professor, begging the question as usual, “the greatest triumph of the human mind was the calculation of Neptune from the observed vagaries of the orbit of Uranus.”
    “And yours,” said the P.B.
    Samuel Beckett (1906–1989)