论文标题
一组轨道元素，以完全表示植物周围的区域谐波
A set of orbital elements to fully represent the zonal harmonics around an oblate celestial body
论文作者
论文摘要
这项工作引入了一组新的轨道元素，以完全代表围绕天体的区域谐波问题。这组新的轨道元素允许为未受干扰的问题获得完整的线性系统，此外，在考虑赋予天体的重力产生的Zonal谐波产生的扰动时，是一个完整的多项式系统。这些轨道元素没有奇异性，并且能够代表任何类型的轨道，包括椭圆，抛物线和双曲线轨道。此外，还包括对Poincaré-LindStedt扰动方法的该公式的应用，以获取J2扰动情况的问题的近似一阶解决方案。
This work introduces a new set of orbital elements to fully represent the zonal harmonics problem around an oblate celestial body. This new set of orbital elements allows to obtain a complete linear system for the unperturbed problem and, in addition, a complete polynomial system when considering the perturbation produced by the zonal harmonics from the gravitational force of an oblate celestial body. These orbital elements present no singularities and are able to represent any kind of orbit, including elliptic, parabolic and hyperbolic orbits. In addition, an application to this formulation of the Poincaré-Lindstedt perturbation method is included to obtain an approximate first order solution of the problem for the case of the J2 perturbation.
