Energy of Circular Orbits Video Lessons

Concept

# Problem: A 6000kg lunar lander is in orbit 20km above the surface of the moon. It needs to move out to a 100km -high orbit in order to link up with the mother ship that will take the astronauts home.How much work must the thrusters do?

###### FREE Expert Solution

This problem involves the energy of circular orbits. We are required to determine the difference in energy between two circular orbits.

The energy of a circular orbit:

$\overline{){\mathbf{E}}{\mathbf{=}}{\mathbf{-}}\frac{\mathbf{G}\mathbf{M}\mathbf{m}}{\mathbf{2}\mathbf{\left(}\mathbf{R}\mathbf{+}\mathbf{h}\mathbf{\right)}}}$

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###### Problem Details

A 6000kg lunar lander is in orbit 20km above the surface of the moon. It needs to move out to a 100km -high orbit in order to link up with the mother ship that will take the astronauts home.

How much work must the thrusters do?