Escape Velocity - Multiple Sources

Multiple Sources

The escape velocity from a position in a field with multiple sources at rest with respect to each other is derived from the total potential energy per kg at that position, relative to infinity. The potential energies for all sources can simply be added. For the escape velocity it can be shown that this gives an escape velocity which is equal to the square root of the sum of the squares of the individual escape velocities due to each source.

For example, at the Earth's surface the escape velocity for the combination Earth and Sun would be .

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