Method of orbit determination for short Arc of lunar probe transfer orbit

Details Method of orbit determination for short Arc of lunar probe transfer orbit Method of orbit determination for short Arc of lunar probe transfer orbit

Apr 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007acasn..48..220l&link_type=abstract

Acta Astronomica Sinica, vol. 48, no. 2, p.220-227

Astronomy and Astrophysics

Astronomy

Instrument: Detector, Method: N-Body Simulation, Celestial Mechanics: Determination Of Orbit

Scientific paper

The orbit determination without initial information and mono-parameter iteration is discussed. An approximate analytical solution which shows accurate status is required for the dynamic model utilized in this method. The motion of the Lunar probe into the influence sphere of the Moon can be considered as a perturbed two body problem around the Moon, while the Lunar probe is near Earth, its motion can be considered as regular perturbed two body problem around the Earth, the transfer orbit from near Earth to near Moon only can be described as a perturbed restricted three body problem. But there is no analytical solution for this kind of problem, even if the impulsive transfer method is used, the analytical solution can not be found if the Lunar gravitational perturbation is considered because of the big eccentricity (beyond Laplace limit).Thus, neither the small parameter series solution for artificial Earth satellite, nor that of the artificial lunar satellite could be used directly. In this paper, we construct a time series solution for the transfer orbit perturbed by the Earth oblateness and the Lunar attraction, and give a short arc orbit determination method under perturbed two body problem based on the time series solution. By using of the statistical information of multi-datum, this method also could be used in multi-point orbit determination, and the numerical check is given to prove the accuracy and utility of this method.

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