2020年11月24日4时30分,长征五号遥五运载火箭在中国海南文昌航天发射场成功发射,飞行约2200秒后,顺利将探月工程嫦娥五号探测器送入预定轨道,开启中国首次地外天体采样返回之旅。嫦娥五号飞行轨迹可以简化为如图所示,首先进入圆轨道I,在P点进入椭圆轨道II,到达远地点Q后进入地月转移轨道,到达月球附近后进入环月轨道II。圆轨道I的半径为r
1 , 周期为T
1 , 椭圆轨道II的半长轴为a,周期为T
2 , 环月轨道II的半径为r
3 , 周期为T
3 , 地球半径为R,地球表面重力加速度为g。忽略地球自转和太阳引力的影响。下列说法正确的是( )
- A、
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmfrac%3E%3Cmrow%3E%3Cmsubsup%3E%3Cmi%3Er%3C%2Fmi%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmsubsup%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmsubsup%3E%3Cmi%3ET%3C%2Fmi%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsubsup%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmsup%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmsubsup%3E%3Cmi%3ET%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsubsup%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmsubsup%3E%3Cmi%3Er%3C%2Fmi%3E%3Cmn%3E3%3C%2Fmn%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmsubsup%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmsubsup%3E%3Cmi%3ET%3C%2Fmi%3E%3Cmn%3E3%3C%2Fmn%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsubsup%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
- B、嫦娥五号在轨道I运行速度等于
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsqrt%3E%3Cmrow%3E%3Cmi%3Eg%3C%2Fmi%3E%3Cmsub%3E%3Cmi%3Er%3C%2Fmi%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmsub%3E%3C%2Fmrow%3E%3C%2Fmsqrt%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
- C、嫦娥五号在轨道I的P点和椭圆轨道II的P点加速度相同
- D、嫦娥五号在椭圆轨道II的Q点运行速度大于在圆轨道I的运行速度