Research on Improving Kinematics Equation of Traditional Orbit Parameters Based on Orbital Dynamics

Complex space missions have higher and higher requirements for orbit representation, orbit prediction and orbit control. Traditional orbit parameters have many shortcomings in orbit representation and orbit extrapolation. From the point of view of improving the shortcomings of traditional orbital parameters, this paper analyzes several groups of orbital parameters including unit quaternions. Based on a group of quaternion orbital elements composed of unit quaternion and vector parameters such as radial distance, radial velocity and angular momentum, the orbital dynamics and kinematics equations are derived, and the transformation relationship between quaternion orbital elements and traditional orbital parameters is given. The simulation example proves the effectiveness of improving the traditional kinematic equation method of orbit parameters.