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A 400 kg satellite is in a circular orbi...

A 400 kg satellite is in a circular orbit of radius `2R_(E)` about he Earth. How much energy is required to transfer it to a circular orbit of radius `rR_(E)`? What are the changes in the kinetic and potential energies?

Text Solution

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Initial `E_(i) = (-GM_Em)/(4R_(E)`
While finally `E_(f) =-(GM_(E)m)/(8R_E)`
The change in the total energy is `DeltaE=E_(f) - E_(i)`
`DeltaE=(gmR_E)/8=(9.81xx400xx6.37xx10^6)/8=3.13xx10^9J`
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