“嫦娥一号”在环绕地球的过程中运行轨道是椭圆，且在环绕月球的过程中运行轨道也是椭圆

文档编号:WLX005  字数:7456,页数:27

摘  要

 本文利用牛顿万有引力定律即引力与距离平方成反比关系，建立了行星的运行轨道方程，进而推导出了开普勒定律，证明了“嫦娥一号”在环绕地球的过程中运行轨道是椭圆，且在环绕月球的过程中运行轨道也是椭圆。本文简要阐述了“嫦娥一号”的探月过程以及“嫦娥一号”在飞行过程中主要涉及的数学和物理原理，以及在探月过程中“嫦娥一号”进行了一次远地点变轨，三次近地点变轨，三次近月制动的过程。
 关键词：椭圆；轨道；万有引力；开普勒定律
Abstract

 Using Newton's law of gravitational force (gravity is inversely proportional to distance square)，this paper establishes the orbit equation of planet and gets the Kepler' Law．This paper also proves that the Chang'e-1 is elliptical in the process of running around the Earth and the orbit of he Chang'e-1 is also elliptical in the process of running around the Moon．This paper briefly describes the Chang'e-1 lunar exploration process and the main mathematical and physical principles of Chang'e-1 in the process of flight．In the course of the lunar exploration Chang'e-1 conducts an Apogee track of changing，three times tracks of changing in near locations，three brakes around the moon．
 Key words：elliptic；orbit；gravitational force；Kepler' Law
目  录

摘要………………………………………………………………………………………Ⅰ
Abstract……………………………………………………………………………………Ⅱ
第1章 “嫦娥一号”探月过程的简述 …………………………………………………1
 第1节 环绕地球运行…………………………………………………………………1
 第2节 环绕月球运行…………………………………………………………………………2
第2章 “嫦娥一号”的运行轨道…………………………………………………………4
 第1节 圆锥曲线………………………………………………………………………………4
 第2节 径向单位向量和周向单位向量………………………………………………5
 第3节 速度与加速度…………………………………………………………………………6
 第4节 开普勒定律……………………………………………………………………………7
第3章 “嫦娥一号”飞行过程中主要涉及的数学原理………………………………11
参考文献…………………………………………………………………………………13
致谢………………………………………………………………………………………14

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