Part of JME-05 — Gravitation

Satellite Energetics

by Notetube Official103 words4 views

For a satellite of mass m in circular orbit of radius r around mass M:

QuantityFormulaSign
KEGMm2r\frac{GMm}{2r}Positive
PE-GMm/rNegative
Total E-GMm2r\frac{GMm}{2r}Negative
Binding EGMm2r\frac{GMm}{2r}Positive

Key relations:

  • Total E = -KE = PE/2
  • |PE| = 2*KE (virial theorem)
  • Binding energy = energy needed to send satellite to infinity = -Total E

As orbit radius increases: KE decreases, PE increases (less negative), Total E increases (less negative). The satellite is less tightly bound.

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