Propagation of errors in Moon transfer trajectories
- Paper number
IAC-11,A3,2.P,24,x9762
- Author
Dr. Zhao Yuhui, Nanjing University, China
- Coauthor
Dr. Hou Xiyun, Nanjing University, China
- Coauthor
Prof. Lin Liu, Nanjing University, China
- Year
2011
- Abstract
Due to various perturbations, orbit insertion errors, observation and control errors and some other effects, the true transfer orbit of a lunar orbit from the Earth will unavoidably deviate from the nominal transfer orbit. As a result, analysis of the propagation of these errors are very important for the success of the missions. The practical trajectories are of high precession initially but the errors are magnified along with orbital evolution. According to the state transition matrix of the lunar transfer trajectories, this article studies the characteristics of the error propagation. Theoretical analysis and numerical simulations imply the odd phenomenon in errors evolution when the lunar orbit is approaching the moon. A simplified method to evaluate the final deviation and the correction maneuvers is figured out, this method is reasonable and practical only when the following two conditions are satisfied: (1) The initial orbital errors of the trajectories are not very large; (2) The transfer time of trajectories from the earth to the moon are not very long Practically in general lunar exploration missions, the requirements above can be easily reached. Our work shows that return trajectories from the Moon to the Earth have similar characteristics and the method for the transfer orbit could also be applied to the orbit deviation computation and mid-course correction maneuvers for the return trajectories.
- Abstract document
- Manuscript document
IAC-11,A3,2.P,24,x9762.pdf (🔒 authorized access only).
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