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What is binding energy of a satellite?...

What is binding energy of a satellite?

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The minimum energy required to free a satellite from the gravitational attraction is called binding energy. Binding energy is the negative value of total energy of satellite. Let a satellite of mass `m` be revolving closely around earth of mass `M` and radius `R`.
Total energy of satellite` = P.E. + K.E.`
`= - (GM m)/(R ) + (1)/(2) m upsilon^(2)`
`= - (GM m)/(R ) + (m)/(2) (GM)/(R ) = (-GM m)/(2R)`
`:.` Binding energy of satellite
`= -` [total energy of satellite] `= (GM m)/(2R)`
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