The method of least squares used to invert an orbit problem
The method of least squares used to invert an orbit problem
复制标题
用于反演轨道问题的最小二乘法
DOI：
10.1119/1.1613270
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发表时间：
2003
影响因子：
0.9
通讯作者：
R. Bannister
中科院分区：
文献类型：
--
作者：
R. Bannister
六个参数唯一地描述了一个天体绕太阳的轨道。有了这些参数，就有可能通过求解物体的运动方程来预测物体的位置。这些参数不能直接测量，因此必须通过反演方法间接推断，该方法结合运动方程使用其他量的测量。在许多只有噪声、不完全和间接观测值可用于估计参数值的应用中，逆技术是有价值的工具。方法的方法进行了介绍，开普勒问题被用作一个现实世界的例子。
Six parameters uniquely describe the orbit of a body about the Sun. Given these parameters, it is possible to make predictions of the body’s position by solving its equation of motion. The parameters cannot be directly measured, so they must be inferred indirectly by an inversion method which uses measurements of other quantities in combination with the equation of motion. Inverse techniques are valuable tools in many applications where only noisy, incomplete, and indirect observations are available for estimating parameter values. The methodology of the approach is introduced and the Kepler problem is used as a real-world example.