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Universal Gravitation

Problem 1.229

A spaceship approaches the Moon along a parabolic trajectory which is almost tangent to the Moon's surface. At the moment of the maximum approach the brake rocket was fired for a short time interval, and the spaceship was transferred into a circular orbit of a Moon satellite. Find how the spaceship velocity modulus increased in the process of braking.

Reveal Answer
 1.229. Δv=γM/R(1−2)=−0.70 km/s, where M and R are the mass and the radius of the Moon. \begin{aligned} &\text { 1.229. } \Delta v=\sqrt{\gamma M / R}(1-\sqrt{2})=-0.70 \mathrm{~km} / \mathrm{s}, \text { where } M \text { and } R\\ &\text { are the mass and the radius of the Moon. } \end{aligned}
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