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PRACTICE / Kepler laws

Equal area is not equal angular speed

A satellite follows a bound ellipse with rₐ = 3rₚ. Compare its instantaneous angular speed about the primary at the two apsides.

What is ωₚ/ωₐ?

Organize the givens & assumptions
  • rₐ/rₚ = 3
  • Both positions are turning points of radial distance

Unforced central inverse-square motion about a dominant primary; angular speeds are positive magnitudes.

  1. A33
  2. B11
  3. C99
  4. D1/91/9

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