Problem

Use the values RE = 6370 km = 3960 mi for the radius of the earth.You can send a spacecraf...

Use the values RE = 6370 km = 3960 mi for the radius of the earth.

You can send a spacecraft from the earth to the moon in the following way: First, launch the spacecraft into a circular “parking” orbit of radius r0 around the earth (Fig. P14.118a). Then, increase its velocity in the direction tangent to the circular orbit to a value v0 such that it will follow an elliptic orbit whose maximum radius is equal to the radius rM of the moon’s orbit around the earth (Fig. P14.118b). The radius rM = 238,000 mi. Let r0 = 4160 mi. What velocity v0 is necessary to send a spacecraft to the moon? (This description is simplified in that if disregards the effect of the moon’s gravity.)

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