NEW DYNAMIC MODEL FOR LUNAR PROBE AND ITS APPLICATION TO QUASI-PERIODIC ORBIT ABOUT THE TRANSLUNAR LIBRATION POINT

摘要

A new dynamic model with the standard ephemerides that describes the relativemotion of a lunar probe in a rotating coordinate system is presented. Byusing the ephemerides, the description for the real physical situation is moreprecise. Compared with other high-order models, the complexity of the proposedmodel is lower. More specifically, the proposed model considers the influencesof direct and indirect Sun’s perturbation, and the eccentricity of theMoon’s orbit. It also provides a solution without a truncation error. Further, alunar L2 quasiperiodic orbit design is presented as an application of the proposedmodel. The initial conditions are calculated by using the Lindstedt-Poincare technique. An iteration method which introduces the Sun’s influencegradually and the differential correction are utilized to adjust the initial conditions.