Geosynchronous orbit determination and parameter determination method based on differential algebra

Abstract

The invention discloses a geosynchronous orbit determination and parameter determination method based on differential algebra. A kinetic model described based on geosynchronous satellite orbit elements is selected and used, use of a relatively greater integration step in a numerical integration process is avoided and appearance of singular points is avoided for the kinetic model, moreover, a perturbative force item is added in the kinetic model, polynomial form integration is executed, thus, obit statuses and spacecraft parameters are obtained, high-order prediction is executed for the obtained parameters, and meanwhile, high-order prediction of observed quantity is executed; by means of nonlinear information of the kinetic model and an observation model, estimation accuracy is improved; in combination with actual observed values of a spacecraft, high-order prediction values of the obit status and the spacecraft parameters are updated and high-order estimated values as initial values are obtained; and by repeating the implementation process above, geosynchronous orbit determination and parameter determination can be completed. The method provided by the invention not only can improve accuracy of obit estimation and realize high-precision estimation of the parameters, but also can greatly reduce calculation cost.

Description

technical field [0001] The invention relates to the field of aerospace, in particular to a differential algebra-based geosynchronous orbit determination and parameter determination method. Background technique [0002] In recent years, with the continuous development of space technology and the increasing demand for satellites in geosynchronous orbit, the number of objects located in the region of geosynchronous orbit has been increasing. The latest space object monitoring report of Eurospace shows that there are currently about 1,533 non-classified objects operating in the geosynchronous orbit area, of which 502 have self-control capabilities, and the rest are uncontrollable satellites or space debris. In order to avoid collisions between satellites in geosynchronous orbit and ensure their safety, monitoring their current state, predicting and estimating their state evolution in a period of time in the future has very important practical value. [0003] At present, the des...

AI Technical Summary

Problems solved by technology

Due to errors in ground observation equipment, it is impossible to obtain the true state of the spacecraft by solving the observation data; secondly, the unpredictable deviation between the initial state and the parameters of the spacecraft and the unmodeled factors of the dynamic model make it impossible to obtain the real state of the spacecraft according to the dynamics of the spacecraft. The model calculates the exact state of the spacecraft at some point in the future

Images