A Manifold-Based Method for Determining the Motion State of Nonlinear Space Objects

Abstract

The invention provides a manifold based non-linear space object motion state determination method comprising the following steps: building a space object locus observation equation; using manifold as the basic space and employing a multiple dimensioned analysis manifold method to carry out multiple dimensioned expressions of object state parameters on the manifold according to physics characteristics of the object locus embedded in a low dimension manifold in the space, thus obtaining a multiple dimensioned expression coefficient; using a non-linear iteration method to obtain a manifold multiple dimensioned expression coefficient according to the observation equation and a multiple dimensioned expression formula, thus obtaining an object state parameter estimating value. The novel method can simplify an object state parameter resolving process, thus improving resolving precision; in addition, the method is universal and suitable for high precision estimating problems of motion states of various space objects under various measuring systems in the spaceflight field.

Description

technical field [0001] The invention belongs to the problem of high-precision estimation of the space target state, and relates to a nonlinear space target motion state determination method based on manifold, that is, using the change rate of distance, azimuth angle, pitch angle or distance (sum / difference) to the space target It can obtain high-precision estimation of target position and velocity through the trajectory solving process on the manifold, which is suitable for high-precision post-processing of measurement data in aerospace measurement and control systems and other technical fields. Background technique [0002] In the traditional high-precision data processing of aircraft measurement data, the spline constraint solution method is used, that is, the flight trajectory is represented by a spline function, and the direct estimation of the position and velocity is converted into an estimation of the spline coefficient, so as to use the spline function. Smoothness im...

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Problems solved by technology

[0005] The purpose of the present invention is to overcome the difficulties in the selection of spline function nodes and the large amount of calculation existing in the current high-precision estimation method for the state of space objects; utilize the characteristics that the trajectory of the aircraft is essentially a one-dimensional manifold in three-dimensional space, and introduce differential The theory and method of nonlinear estimation on the manifold provides a method for determining the nonlinear motion state based on the manifold. This method utilizes the curved manifold characteristics of the space trajectory in space, and adopts the trajectory representation method based on the manifold. The spline representation method is improved, which avoids complex processes such as spline node optimization while improving the calculation accuracy of the trajectory; the traditional spline representation method can be improved to the trajectory representation method on the manifold, thereby further saving Represent parameters, improve the accuracy of state estimation, avoid node optimization problems, and reduce the complexity of the solution process

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