A method of geostationary satellite orbit uncertainty evolution based on differential algebra

Abstract

The invention discloses an orbital uncertainty analysis method based on differential algebra technology. Based on Taylor expansion of multivariate functions and polynomial operation framework, and based on the dynamic model of geosynchronous satellite orbit element description, solar pressure to the kinetic model, the third gravitational perturbation and the three perturbation terms of the Earth'soblateness are added in the dynamic model , the right term of the dynamic model is expanded along the nominal orbit by Taylor expansion, the expansion polynomial with initial deviation as variable isobtained, Under the frame of differential algebra, the orbital state expressed by the polynomial with the initial deviation as variable at any time is obtained, and the concrete value of the initialdeviation is brought into the polynomial result to obtain the state of the final spacecraft. The invention analyzes the optimal expansion order, the balance calculation time and the calculation precision according to different perturbation forces. The method can be used to analyze the orbit evolution of geostationary satellites with initial state deviation and parameter uncertainty, and can also be used in other spacecraft orbit evolution and attitude evolution missions.

Description

technical field [0001] The invention relates to the aerospace field, in particular to a method for the evolution of geosynchronous satellite orbit uncertainty based on differential algebra technology. 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, it is of great practical value to monitor their current state and predict their state evolution in a period of time in the future. [0003] At present, the descriptio...

AI Technical Summary

Problems solved by technology

The disadvantage of this method is that it needs to calculate the higher-order expansion of the right-hand term of the kinetic equation at any integration moment, which is a complicated and error-prone process

Due to the unpredictable deviation between the initial state of the geosynchronous orbit spacecraft and the spacecraft parameters (often assumed to be Gaussian distribution), it is impossible to predict the state of the spacecraft at a certain point in the future based on the dynamic model of the spacecraft

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