Artificial satellite velocity (around the earth)

AI Thread Summary
The velocity of an artificial satellite orbiting Earth can be calculated using the radius and acceleration due to gravity. The formula v = √(GM/r) relates orbital velocity to the gravitational constant, the mass of the Earth, and the radius from the Earth's center. By determining the local force of gravity, one can solve for velocity using centripetal acceleration principles. While the mass of the Earth enhances accuracy, knowing just the radius and acceleration is sufficient for calculating satellite velocity. Understanding these relationships is crucial for satellite dynamics and orbital mechanics.
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I know how to find the the velocity if I can use the mass of the earth.

Is it possible to find it with just the radius and acceleration?
 
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If you've already calculated the local force of gravity, then you just need to solve the centripetal acceleration equation for velocity.
 


Yes, it is possible to find the velocity of an artificial satellite around the Earth using just the radius and acceleration. The equation for the orbital velocity of a satellite is v = √(GM/r), where G is the gravitational constant, M is the mass of the Earth, and r is the distance between the satellite and the center of the Earth (radius). This equation shows that the velocity of a satellite is dependent on the radius and acceleration due to gravity (GM/r^2). So, if you know the radius and the acceleration due to gravity at that distance, you can calculate the velocity of the satellite. However, knowing the mass of the Earth can provide a more accurate calculation as it takes into account the varying gravitational force at different distances from the Earth's center.
 
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