Calculation of Orbit Shading for Long-Period Orbits in Vicinity of Sun-Earth L2 Point

The present research is connected with long-period orbits in a vicinity of Sun-Earth L_2 libration point. The aim of this study was to find shading intervals and to analyze the dependencies between the orbit parameters and the shading areas. The literature review was written and the relevance of the current problem was described. The algorithm of initial state search of a spacecraft for the long-period orbits was created and used. The orbits were firstly calculated in the circular restricted three-body problem, and then they were transformed to the ephemeris model. The visualization of a trajectory of a spacecraft flight was created in the rotating coordinate system. For orbit shading intervals studying a special algorithm in the ”Spice” system was used. For each of orbits from the current set the shading areas were calculated. What is more, it were found maximum, minimum and the total intervals of shading. All calculations were made by using Matlab programming environment.