Energy Relations of an Orbiting Satellite – Rankers Physics
Topic: Gravitation
Subtopic: Gravitational Potential Energy

Energy Relations of an Orbiting Satellite

If potential energy is assumed to be zero at infinity, then
The total energy of an orbiting satellite is negative of its potential energy.
The potential energy of an orbiting satellite is twice of its total energy
The potential energy of an orbiting satellite is negative of its kinetic energy
The total energy of an orbiting satellite is twice of its kinetic energy

Solution:

For an orbiting satellite, Potential Energy \(U = -\frac{GMm}{r}\), Kinetic Energy \(K = \frac{GMm}{2r}\), and Total Energy \(E = -\frac{GMm}{2r}\). This shows that \(U = 2E\).

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