在不均匀旋转大气中瞬时圆形轨道的人造卫星的寿命

本文用能量观点研究了人造卫星在不均匀旋转大气的阻力作用下的寿命.根据流体动力学,大气旋转角速度随高度而减小.大气密度按指数形式而减少.文中推出了卫星在上述旋转大气模型中瞬时圆形轨道上的寿命表达式,并对具体卫星的寿命做了数值估计.结果表明:在本文中所计算出的卫星寿命比前人将大气旋转同地球自转角速度一样的模型所算出的寿命要短些.

The Lifetime of an Artificial Satellite Moving in Nonuniform Rotating Atmosphere and instantaneous Circle Orbit

The lifetime of an artificial satellite moving in the circular orbit under the action of nonuniform rotating atmospheric drag is studied from an energy point of view in this paper. The angular velocity of atmospheric rotation decreases with height according to hydrodynamics. The atmospheric density decreases with height according to the exponential formula. The expression for the lifetime of a satellite in the instantaneous circular orbit in the above-mentioned rotating atmospheric model is derived, and the numerical estimation for the lifetime of a concrete satellite has been made. The result shows clearly that the satellite lifetime calculated by this paper is shorter than that calculated by (he uniform rotating atmospheric model