A 400 kg satellite is in a circular orbite of radius 2R around the earth how much energy is required to transfer it to circular orbit of radius 4R

Options

A. `3.13xx10^(9) J`
B. `3.59xx10^(9) J`
C. `4.1xx10^(9) J`
D. `5.2 xx10^(9) J`

Explanation

To find the energy required to transfer a satellite from a circular orbit of radius \(2R\) to a circular orbit of radius \(4R\), we will follow these steps:

### Step 1: Understand the gravitational potential energy in orbit
The gravitational potential energy \(U\) of a satellite in orbit is given by the formula:
\[ U = -\frac{GMm}{r} \]
where:
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