论文部分内容阅读
在一次关于人造卫星习题研究课上,引发了一场激烈争论,争论的导火索须从下面一道例题说起.例1某行星的半径为R1,自转周期为T1,它有一颗卫星,轨道半径为R2,绕该行星的公转周期为T2,求:要在此行星上发射一颗质量为m的近地人造卫星,至少需要对卫星做多少功?(设该行星上无大气阻力).老师通过引导分析,给出了如下解答.解:设该行星质量为M,绕其运行的卫星的质量为m0,对卫星,由万有引力定律和牛顿第二定律得
In a study class on artificial satellite exercises, a fierce debate was triggered. The debate must be started from the following example. Example 1 The radius of a planet is R1, and the rotation period is T1. It has a satellite orbit. The radius is R2, and the orbital period around the planet is T2. Find: To launch a near-earth satellite of mass m on this planet, at least how much work needs to be done on the satellite (if there is no atmospheric drag on the planet). The teacher gave the following solutions through guidance analysis. Solution: Let the planet mass be M, and the mass of the satellite orbiting it should be m0. For the satellite, it should be derived from the law of gravity and Newton’s second law.