论文标题
使用指数的乘积轨道加速度
Orbital Acceleration Using Product of Exponentials
论文作者
论文摘要
指数（POE）配方的乘积最常用于机器人技术领域，但最近已适用于描述轨道运动。轨道力学的POE公式是根据其轨道元素集定义和绘制轨道的替代方法。目前，轨道力学的POE公式仅通过第一个衍生物（速度）得出。这项工作探讨了轨道力学改编的POE公式的第二个衍生物，该公式对两体系统中卫星的轨道运动进行了更完整的描述。这种全面的方法采用统一的方法来说明所有六个时变轨道元素，从而扩大了研究和应用的范围。
The Product of Exponentials (PoE) formulation is most commonly used in the field of robotics, but has recently been adapted for use in describing orbital motion. The PoE formula for orbital mechanics is an alternate method for defining and drawing an orbit based on its orbital elements set. Currently the PoE formula for orbital mechanics has only been derived through the first derivative (velocity). This work explores the second derivative of the adapted PoE formula for orbital mechanics, which gives a more complete description of the orbital motion of a satellite in a two-body system. This comprehensive approach employs a unified approach to account for all six time-varying orbital elements, therefore broadening the scope of the research and applications.
