Earth escape velocity using r only

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Equation / Last modified by Tim on 2015/07/13 11:21
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vCalc.Earth escape velocity using r only
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25bfb2cb-e393-11e3-b7aa-bc764e2038f2

This equation computes the escape speed required to break the pull of Earth's gravity for an object at the input orbit radius, r. The answer is in units of kilometers per second . 

INPUTS

This equation uses as the input value is the orbital radius, the distance between the escaping object and the center of the Earth's mass.

NOTES

As a fundamental example, escape velocity from the surface of the planet Earth (Orbital Radius = Earth Radius) is around 11.2 km/sec.

This equation is based on a spherical earth model.

The energy of a parabolic trajectory is has the minimum energy required to escape Earth's gravitational attraction.  We can compute the escape velocity of any object at a distance r =`(R_(o+)` + h) by making energy equal to zero and solving for velocity.