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PRACTICE / Kepler laws

Two distances describe one ellipse

An unforced satellite in a bound Kepler orbit has nearest and farthest distances 8.0×10⁶ m and 24.0×10⁶ m from its dominant primary centre.

What is its orbital eccentricity?

Organize the givens & assumptions
  • rₚ = 8.0×10⁶ m
  • rₐ = 24.0×10⁶ m

Point-mass/spherical-primary inverse-square model; no thrust, drag or external perturbations; distances are centre distances.

  1. A0.250.25
  2. B0.500.50
  3. C0.667…0.667\ldots
  4. D2.02.0

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