# Find an expression for the square of the orbital period.

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## Question:

Find an expression for the square of the orbital period.

## Answer:

Answer:

T²= 4π²R³/GM

Explanation:

First we know that

Fg= Fc

Because centripetal force must equal gravitational force

So

GMm/R² = Mv²/R

But velocity is 2πR/T

So by substitution we have

GMm/R²= M (2πR/T)/T

We have

T²= 4π²R³/GM as period

They could hopefully help the student answer the question by implementing the questions and answer examples. You will be able to then have a discussion with your classmate and continue the school learning by studying the question alogside each other.

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