Open AccessAlgebraic dynamical algorithm for numerical solution of artificial earth satellite motion equation
Author(s) -
Wei-Tao Lu,
Shun-Jin Wang,
Hua Zhang
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.56.3655
Subject(s) - satellite , orbit (dynamics) , equations of motion , algebraic number , algorithm , algebraic solution , computer science , algebraic equation , motion (physics) , physics , mathematics , mathematical analysis , classical mechanics , differential equation , ordinary differential equation , aerospace engineering , differential algebraic equation , astronomy , nonlinear system , quantum mechanics , engineering
Algebraic dynamical algorithm is used to solve numerically the artificial earth satellite motion equation for the first time, and the result is compared with Runge-Kutta algorithm and symplectic algorithm under the forth order. The result shows that algebraic dynamical algorithm has higher accuracy than the others in the long-term calculation of satellite orbit. We also discussed the quadrupole and octupole deformation of the Earth's impact on the satellite orbit.