关于Kepler第三定律的推导

The Derivation of Kepler's Third Law

Kepler第三定律是研究星体运动的一条重要定律,但在力学教材中,对其证明或者忽视,或者过于繁琐。采用动量矩及机械能守恒定律对其进行推导,数学计算简洁明了,而且物理意义也更为丰富。

Kepler's Third Law is an important law for the research of planets' movement. Its derivations in some mechanics textbooks are either neglected or over-complicated. The derivation through angular momentum and conservation of energy is not only clear and brief, but also rich in the significance of physics.