Numerical integration of relativistic equations of motion for Earth satellites

DOI10.1007/s10569-008-9162-5zbMath1173.70002OpenAlexW2141510470MaRDI QIDQ1011852

J. Martínez

Publication date: 14 April 2009

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-008-9162-5

zbMATH Keywords

relativistic effectsLobatto formulaspartitioned Runge-Kutta symplectic formula

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Orbital mechanics (70M20) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items

Contractivity-preserving explicit Hermite-Obrechkoff ODE solver of order 13

Uses Software

• RODAS
• MPFRCPP

Cites Work

• Analytical solutions to the four post-Newtonian effects in a near-Earth satellite orbit
• On relativistic equations of motion of an earth satellite
• Generating numerical algorithms using a computer algebra system
• Stage value predictors for additive and partitioned Runge-Kutta methods
• Discrete mechanics and variational integrators
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