题目内容
人类发射的空间探测器进入某行星的引力范围后,绕该行星做匀速圆周运动,已知该行星的半径为R,探测器运行轨道在其表面上空高为h处,运行周期为T,引力常量G,求:
(1)该行星的质量
(2)若探测器靠近行星表面飞行时,测得运行周期为T1,则行星平均密度为多少?(用T1和常数表达)
(1)该行星的质量
(2)若探测器靠近行星表面飞行时,测得运行周期为T1,则行星平均密度为多少?(用T1和常数表达)
(1)
(2)![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824204826475732.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408242048258351147.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824204826475732.png)
试题分析:(1)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408242048274731441.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408242048258351147.png)
(2)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408242048291111149.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824204830172860.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824204826475732.png)
点评:本题难度较小,万有引力提供向心力,注意公式中r为轨道半径,不是距离天体表面高度
![](http://thumb2018.1010pic.com/images/loading.gif)
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