空间碎片相关和轨道确定的创新方法
Innovative methods of correlation and orbit determination for space debris
摘要：
我们提出了两种算法，以提供一个完整的初步轨道的地球轨道物体的观测数量低于经典的方法，如拉普拉斯和高斯。第一种是虚拟碎片算法，其依据是容许区域，即与地球轨道（与行星际轨道和弹道轨道相对）中物体的可能轨道相对应的一组未知量。类似的方法近年来已成功地用于小行星的情况。第二种算法使用地心2体运动的积分，其必须在不同观测时间具有相同的值以使共同轨道存在。我们还讨论了如何考虑两体运动的扰动，例如，$J_2$效应。
英文摘要：
We propose two algorithms to provide a full preliminary orbit of an Earth-orbiting object with a number of observations lower than the classical methods, such as those by Laplace and Gauss. The first one is the Virtual debris algorithm, based upon the admissible region, that is the set of the unknown quantities corresponding to possible orbits for objects in Earth orbit (as opposed to both interplanetary orbits and ballistic ones). A similar method has already been successfully used in recent years for the asteroidal case. The second algorithm uses the integrals of the geocentric 2-body motion, which must have the same values at the times of the different observations for a common orbit to exist. We also discuss how to account for the perturbations of the 2-body motion, e.g., the $J_2$ effect.
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