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  • Escape Velocity and Rocket Trajectories: Why Rockets Don't Return
    A rocket that moves upward from the surface at escape velocity will never return to the surface of the planet. Here's why:

    * Escape Velocity: Escape velocity is the minimum speed an object needs to escape the gravitational pull of a planet or other celestial body. It's not about how fast the rocket is going, but about how much kinetic energy it has to overcome the gravitational potential energy holding it to the planet.

    * Gravitational Pull: As the rocket moves further away from the planet, the gravitational force pulling it back decreases. However, even at an infinite distance, the force never quite reaches zero.

    * Continuous Motion: A rocket launched at escape velocity will continue to slow down due to the planet's gravity, but it will never slow down enough to stop and fall back. It will essentially coast off into space.

    Important Note: Escape velocity is dependent on the mass and radius of the planet. A smaller, less massive planet will have a lower escape velocity.

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