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A satellite orbiting certain planet has ...

A satellite orbiting certain planet has apogee `R_(1)` and perigee equal to `R_(2)`, then find the minimum kinetic energy that should be given to the satellite to enable it to escape the planate.

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To solve the problem of finding the minimum kinetic energy that should be given to a satellite to enable it to escape a planet, we can follow these steps: ### Step 1: Understand the Orbit of the Satellite The satellite is in an elliptical orbit around a planet. The distances from the center of the planet to the satellite at its apogee (farthest point) and perigee (closest point) are given as \( R_1 \) and \( R_2 \), respectively. ### Step 2: Calculate the Semi-Major Axis The semi-major axis \( a \) of the elliptical orbit can be calculated using the formula: \[ ...
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