论文标题
国王希勒轨道理论定期轨道和态度变化
King-Hele orbit theory for periodic orbit and attitude variations
论文作者
论文摘要
国王希尔（King-Hele）开发的大气中的卫星轨道的分析理论仍然广泛用于卫星任务设计，因为在简化的假设下，其与数值集成的准确近似。在六十年的时间里，对该理论的修改解决了许多弱点。但是，在原始理论的所有随后修改中，都保留了恒定阻力的假设。拖放效果是一个动态参数，它控制大气与卫星之间的物理相互作用，并取决于环境和卫星特定因素。在这项工作中，原始的国王 - 希勒理论中纳入了拖曳能力的傅立叶系列扩展模型，以捕获平均积分的拖动时间变化。修改的理论通过模拟得到验证，这些模拟证明了与原始国王公式相比数值结果所获得的改进。
The analytical theory of satellite orbits in an atmosphere developed by King-Hele remains widely in use for satellite mission design because of its accurate approximation to numerical integration under simplifying assumptions. Over the course of six decades, modifications to the theory have addressed many of its weaknesses. However, in all subsequent modifications of the original theory, the assumption of a constant drag-coefficient has been retained. The drag-coefficient is a dynamic parameter that governs the physical interaction between the atmosphere and the satellite and depends on ambient as well as satellite specific factors. In this work, Fourier series expansion models of the drag-coefficient are incorporated in the original King-Hele theory to capture time-variations of the drag-coefficient in averaging integrals. The modified theory is validated through simulations that demonstrate the attained improvements in approximating numerical results over the original King-Hele formulation.
