题目内容
嫦娥一号探月卫星发射成功在政治、经济、军事、科技乃至文化领域都具有非常重大的意义。下图是嫦娥奔月过程全图。(地球半径R=6400Km,月球半径r="1700" Km)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/2014082411383974936335.jpg)
请根据图中给出的数据
①计算出嫦娥一号卫星在距离月球200Km的圆形轨道上运行的速度。(保留3位有效数字)
②把嫦娥一号卫星工作轨道(即周期为127分钟的圆形轨道)周期
近似当作2小时,请根据图中数据计算出卫星在12小时轨道运行时,远月点与月球表面的距离。
(
,计算结果保留2位有效数字)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/2014082411383974936335.jpg)
请根据图中给出的数据
①计算出嫦娥一号卫星在距离月球200Km的圆形轨道上运行的速度。(保留3位有效数字)
②把嫦娥一号卫星工作轨道(即周期为127分钟的圆形轨道)周期
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113839780213.gif)
(
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113839795402.gif)
①
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113839811579.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113839827593.gif)
①根据公式
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113839842489.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113839873701.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113839873431.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113839889309.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113839951412.gif)
解得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113839811579.gif)
②设卫星在工作轨道上运行的周期为
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113840139398.gif)
长半轴为
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113840154544.gif)
设卫星在12小时轨道上运行的周期为
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113840185424.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113840217187.gif)
长半轴为
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113840248819.gif)
根据开普勒第三定律得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113840263546.gif)
解之得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113839827593.gif)
![](http://thumb2018.1010pic.com/images/loading.gif)
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