Gravity is the primary force that governs the motion of a satellite orbiting the Earth. It pulls the satellite towards the Earth, providing the necessary centripetal force to keep it in a curved path. The balance between this gravitational pull and the satellite's forward velocity allows it to maintain a stable orbit, preventing it from falling back to Earth while continuously moving along its orbital path. If gravity were to change significantly, it could alter the satellite's orbit, potentially leading to a collision with the Earth or escape from its orbit altogether.
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