(A) A rocket is in circular orbit around the earth; the radius is 1.85 Rearth. T

Question

(A) A rocket is in circular orbit around the earth; the radius is 1.85 Rearth. To put the rocket into an escape orbit, its engine is fired briefly in the direction tangent to the orbit, changing the rocket's velocity by delta-V. Calculate the minimum value of delta-V to escape from earth orbit.

(B) A rocket is in an elliptical orbit around the earth; the radius varies between 1.85 Rearth and 2.7 Rearth. To put the rocket into an escape orbit, its engine is fired briefly in the direction tangent to the orbit when the rocket is at perigee, changing the rocket's velocity by delta-V. Calculate the minimum value of delta-V to escape from Earth orbit.

Explanation / Answer

Vesc = sqrt (2 GMe/R) Vesc = sqrt (6.67*10^-11* 6*10^24/1.85 * 6.4*10^6) Vesc = 5.81 Km/s b. Vesc = sqrt (2 GMe/R) Vesc = sqrt (6.67*10^-11* 6*10^24/2.7 * 6.4*10^6) Vesc = 4.81 Km/s

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