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Energy and Momentum: Orbiting Spacecraft

A spacecraft is traveling in a circular orbit (see attached file) around the earth at an altitude of 210 miles.
When the craft reaches point A, its engines are fired for a short period, reducing its speed by 7.5%. The resulting path is the (elliptical) crash trajectory AB. Determine the angle b, measured from the nonrotating x-axis, which locates the landing site.

Hint: point A is the apogee; remember that the polar angle, q, is measured from the perigee where it is zero, toward the apogee where it is 180 deg.


Solution Summary

The solution addresses the question of determining the angle of the crash path of an earth-orbiting spacecraft in the attachment provided with annotated calculations.