Algebraic dynamical algorithm for numerical solution of artificial earth satellite motion equation | Zendy

Lu Wei-Tao | Zendy; Shun-Jin Wang | Zendy; Zhang Hua | Zendy

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Algebraic dynamical algorithm for numerical solution of artificial earth satellite motion equation

Author(s) -

Lu Wei-Tao,

Shun-Jin Wang,

Zhang Hua

Publication year - 2007

Publication title -

acta physica sinica

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.

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