A new method is developed for stabilizing motion on collinear libration point orbits using the formalism of the circular restricted three body problem. Linearization about the collinear libration point orbits yields a...A new method is developed for stabilizing motion on collinear libration point orbits using the formalism of the circular restricted three body problem. Linearization about the collinear libration point orbits yields an unstable linear parameter-varying system with periodic coefficients. Given the variational equations, an innovative control law based on characteristic exponent assignment is introduced for libration point orbit maintenance. A numerical simulation choosing the Richardson＇s third order approximation for a halo orbit as a nominal orbit is conducted, and the results demonstrate the effectiveness of this control law.展开更多
In this paper,the orbit acquisition and maintenance strategies for the repeat-groundtrack orbit are investigated to maintain the ground track of the satellite within a certain range.Two kinds of orbital dynamics model...In this paper,the orbit acquisition and maintenance strategies for the repeat-groundtrack orbit are investigated to maintain the ground track of the satellite within a certain range.Two kinds of orbital dynamics models are intoduced to calculate the on-orbit state of stellite.One i the orbital propagation model which is of high fldelity and can spproximately express the forces acting on the satellite.The other is the design model which is of low fldelity and utilized by the semi-analytical scquisition algorithm to yield the reference repeat-groundtrack orbit.Combining the dilferential correction and analytical expressions,the results computed by the semi-analytical acquisition algorithm are of relatively high precision compared with the genetic algorithm.At the same time,the computational burden of the semi-analytical acquisition algorithm is far less than the genetic algorithm Based on the reference orbit,two orbit maintenance strategies which are designed for chemical and electric engines are put forward to correct the orbit in order to make the ground track of satellite shift in a certain range.Tbe applicatfon to the Chinese French Oceanie Satellite mission has well validated the fewibility of these two strategies.Simulation results have shown that the strategy designed for chemical engine can keep the ground track displacement within 200 m,while all the orbit points can possess sub-meter repeat distance through adopting the strategy desigmed for the electric engine,which satisfles the requirements of the Chinese-French Oceanic Satellite mission.展开更多
基金supported by the National Natural Science Foundation of China(10702003)
文摘A new method is developed for stabilizing motion on collinear libration point orbits using the formalism of the circular restricted three body problem. Linearization about the collinear libration point orbits yields an unstable linear parameter-varying system with periodic coefficients. Given the variational equations, an innovative control law based on characteristic exponent assignment is introduced for libration point orbit maintenance. A numerical simulation choosing the Richardson＇s third order approximation for a halo orbit as a nominal orbit is conducted, and the results demonstrate the effectiveness of this control law.
基金The research is supported by the National Natural Science Foundation of China(Nos.11772024 and 11432001)the Fundamental Research Funds for the Central Universities.
文摘In this paper,the orbit acquisition and maintenance strategies for the repeat-groundtrack orbit are investigated to maintain the ground track of the satellite within a certain range.Two kinds of orbital dynamics models are intoduced to calculate the on-orbit state of stellite.One i the orbital propagation model which is of high fldelity and can spproximately express the forces acting on the satellite.The other is the design model which is of low fldelity and utilized by the semi-analytical scquisition algorithm to yield the reference repeat-groundtrack orbit.Combining the dilferential correction and analytical expressions,the results computed by the semi-analytical acquisition algorithm are of relatively high precision compared with the genetic algorithm.At the same time,the computational burden of the semi-analytical acquisition algorithm is far less than the genetic algorithm Based on the reference orbit,two orbit maintenance strategies which are designed for chemical and electric engines are put forward to correct the orbit in order to make the ground track of satellite shift in a certain range.Tbe applicatfon to the Chinese French Oceanie Satellite mission has well validated the fewibility of these two strategies.Simulation results have shown that the strategy designed for chemical engine can keep the ground track displacement within 200 m,while all the orbit points can possess sub-meter repeat distance through adopting the strategy desigmed for the electric engine,which satisfles the requirements of the Chinese-French Oceanic Satellite mission.
