An averaging method to study the motion of lunar artificial satellites II: Averaging and Applications

Details An averaging method to study the motion of lunar artificial satellites II: Averaging and Applications An averaging method to study the motion of lunar artificial satellites II: Averaging and Applications

Jul 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cemda..68..225s&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 68, Issue 3, pp.225-247

Astronomy and Astrophysics

Astronomy

2

Averaging Method, Moon, Poincar&Eacute, Variables, Artificial Satellite, Closed Form

Scientific paper

On this, the second part of a two part study (Steichen, 1998) we further develop a semi-analytical theory for a lunar artificial satellite. This theory is obtained by averaging analytically the Hamiltonian function over period up to a month. The averaged equations are then numerically integrated. The solution is free from singularities at e = 0 and I = 0 and is not expanded in powers of these variables. In the last section, the analytic work is applied to characteristic examples to validate the method used.

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