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**What keeps them in orbit?**

Satellites What keeps them in orbit?

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Satellites A satellite is any projectile given a large enough velocity so its path follows the curvature of the earth.

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**How fast is the earth moving?**

The earth moves 8000 m in the “X” direction and 4.9 m in the “Y” direction every second. Therefore, if a projectile moves equal or greater than that speed it will follow the curvature of the earth (it will never collide with earth)

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**What makes a satellite go?**

All objects in circular motion must have a force. The centripetal force (inward force) acting on a satellite is gravity. Gravity pulls any satellite towards the center of the earth. Gravity must equal centripetal force in order for satellites to orbit What happens if its less? greater?

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**Facts about satellites**

As the distance from earth increase: Radius increase Force of gravity decreases Acceleration decreases Result = required velocity is less

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**Satellite problem constants**

Radius of the earth = 6.38 x 106 m Mass of the earth = 5.97 x 1024 kg Remember…the radius of a satellite is the height above the surface of the earth plus the radius of the earth.

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**Satellite Practice Problems #1**

Find the altitude of a satellite orbiting earth if it is moving at 6,900 m/s and the pull of gravity is 5.69 m/s2 Answer: a = v2 r Solve for “r”

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**Satellite Practice Problems #1**

R = (6,900 m/s)2 5.69 m/s2 R = 8.4 x 106 m x 106 m R = 2.02 x 106 m

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**Satellite Practice Problems #2**

Find the velocity needed to keep a satellite orbiting if it is accelerating at a rate of 8.2 m/s2 and it is 500 km above the surface of the earth. Answer: a = v2 r v2 = a x r …v = (sqrt)8.2 x m v = m/s

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