扁球旋转大气阻力对人造卫星运动的影响

The Drag Exerted by an Oblate Rotating Atmosphere on an Artificial Satellite

摘要: 描述了在地球扁率和大气阻力联合作用的人造卫星运动.导出了系统的哈密顿运动方程,其中包括直到J₄的重力势带调和函数的阻力加速度.大气模型采用带扁椭球旋转模型,随着离地距离的增加,大气旋转滞后于地球旋转.首先,借助两次正则变换,接连消去短期项和长期项求得无阻力问题的解.然后再定义一个算子,并利用无阻力问题解中带“两撇形式的变量”给出求解阻力加速度的公式.
- 扁率 /
- 哈密顿函数 /
- Lie变换
Abstract: A theory is formulated for the motion of an artificial satellite under the joint effects of Eearth oblateness and atmospheric drag. The Hamilton's equations of motion are derived including the zonal harmonics of the geopotential up to J₄ and the drag accelerations. The atmospheric model is an oblate rotating model in which the atmospheric rotation lags behind that of the earth as the increasing distance from the Earth. The drag free problem is first solved via two canonical transformations to eliminate in succession the short and long period terms. An operator D is then defined and used to formulate the drag acceleration in terms of the double primed variables expressing the solution of the drag-free problem.
- oblateness /
- the Hamiltonian /
- Lie transform

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