题目内容
(2011·海南物理·T12)2011年4月10日,我国成功发射第8颗北斗导航卫星,建成以后北斗导航卫星系统将包含多颗地球同步卫星,这有助于减少我国对GPS导航系统的依赖,GPS由运行周期为12小时的卫星群组成,设北斗导航系统的同步卫星和GPS导航卫星的轨道半径分别为
和
,向心加速度分别为
和
,则
=_______,
=_____(可用根式表示)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140802854327.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140802916361.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140803010315.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140803088344.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140803166443.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140803244416.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140803353364.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140803384474.png)
依据题意可知
h,
h,由开普勒第三定律
,所以![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140803836903.png)
;由万有引力提供向心力公式
,可得
.
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140803431479.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140803478489.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140803556719.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140803836903.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140803946384.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140804039878.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140804117953.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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