Tiny Perturbation Except J₂ Effect Of Satellite Formation Flying Research

In the last decades,because the satellite formation has great application potential,it received wide attention of scholars both at home and abroad.Due to the complexity of space environment,all kinds of perturbation has negative effects on satellite formation flight,while the effects cannot be ignored for a long time,so that it is widely researched by scholars.At present,the one mostly studied is J2 perturbation effect on satellite formation.As we all know,there is no long-term effect on inclination about J2 perturbation.Although the third-body gravity and aspherical tiny perturbation effect on satellite formation flying is much smaller than J2 perturbation in total,they influence inclination for long-term or long period.In the practical application,it is valuable that to research some tiny perturbation,such as the third-body perturbation and the like,effecting on satellite formation long-term flight.The main research content is divided into the following two aspects.On the one hand,we derive the relative motion equations under third-body perturbation.In this paper,based on the reference satellite orbital elements(RSV,Reference Satellite Variable),we derive near earth orbiting satellites and their relative motion equations under lunar perturbation.In the process of derivation,we make following reasonable assumptions in order to make the results more reasonable and their form can be more concise.First,the distance of satellite and the earth is much smaller than satellite to the lunar.Second,the earth is the ideal spherical gravitational field.Based on such assumptions,we derive the satellite motion equations and relative motion equations of reference satellite and deputy satellite.The form of equations is simple and the equations are more accurate.More importantly,since the two groups of equations are given explicitly and physical meaning of the elements is clear,it provides a great convenience for the qualitative analysis of the impact of satellite motion and relative motion of formation flying under the lunar perturbation.On the other hand,research the effects on satellite formation flying of tiny aspherical perturbation of the earth.In the research of tiny aspherical perturbation,we derive periodical relative orbit accommodating to J2 perturbation,and then orbital initial value and flight time of satellite formation flying are given,and do related simulation using STK and Matlab.At last,we analyze high-order zonal harmonic perturbations,in other words,J3—J21 perturbations,sectorial and tesseral harmonic perturbations effect on orbital configuration of satellite formation.This paper provides some reliable reference for accommodating the third-body perturbation and tiny aspherical perturbation in the process of designing orbital configuration and follow-on studying about satellite formation through researching tiny perturbations except J2 perturbation.