In: Physics
A space vehicle is advancing toward a planet along a parabolic path under the influence of the gravitational force from the planet. The space vehicle will come within 227 kilometers above the planet's surface, when the captain will engage the engines to slow the space vehicle and place it in a circular orbit 227 km above the surface. (Note: The energy of the space vehicle-planet system for a parabolic orbit is E = 0.)
(a)
By what percentage must the speed of the space vehicle be reduced to achieve the desired orbit? (Enter the magnitude.)