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## Main Question or Discussion Point

The centripetal acceleration of a circle is: [tex]a_c = \frac{v^2}{r} * u_n.[/tex] The acceleration of an ellipse is different. It increases from from apoapsis to periapsis as the position changes from furthest point in the orbit to the closest. Then decreases from from periapsis to apoapsis as the position changes from closest point to the furthest. Is there a way to calculate this centripetal acceleration of an ellipse due to the change in the normal and the varying of position due to the gravitating body?