Nonlinear Elliptical Relative Dynamics Problem Based on Curvilinear Coordinates
In order to solve the problem that the existing analytical solutions for spacecraft relative motion are not accurate enough,the analytical solution of spacecraft nonlinear elliptical relative motion is calculated by modeling and analyzed in the curvilinear coordinate system for the first time.The Bessel function is used to solve the Kepler equation,by which the components of spacecraft relative motion in all directions are expressed in the Fourier form,and the constant term,long term,long period term,and short period term of the spacecraft relative motion state about time are separated.On this basis,a virtual spacecraft is introduced to calculate the analytical solution of the relative motion of the elliptical reference orbit.The error of the analytical solution of spacecraft relative motion is evaluated,and the main factors affecting the accuracy of the analytical solution are analyzed.It is verified that the analytical solution has less accuracy loss under the condition of large eccentricity and orbital inclination,reduces the computational complexity at the same time,and could better maintain,predict,and maneuver the configuration of master and slave satellites.
relative motioncurvilinear coordinateBessel function
万方数据
维普
