# Minimum escape velocity

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A rocket is in an elliptic orbit around the earth. To put it into an escape orbit, its engine is fired briefly, changing the rocket's velocity by (delta) V. Where in the orbit, and in what direction, should the firing occur to attain an escape with a minimum value of (delta) V?

Â© BrainMass Inc. brainmass.com November 24, 2022, 11:34 am ad1c9bdddfhttps://brainmass.com/physics/orbits/minimum-escape-velocity-6483

#### Solution Preview

Because the total energy at any point in the orbit is given by,

E = (1/2)m.vo^2 + (-GMe.m/r)

where m is the mass of rocket, r is the distance from the center of the ...

#### Solution Summary

The solution determines the direction firing occur to attain an escape with a minimum value of delta V.

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