Relativistic effects in the motion of artificial satellites: The oblateness of the central body. II

DOI10.1007/BF00051205zbMath0709.70527MaRDI QIDQ922010

Joachim Heimberger, Hanns Ruder, Michael H. Soffel

Publication date: 1990

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

Mathematics Subject Classification ID

Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Orbital mechanics (70M20)

Related Items (11)

The joint effect of relativistic and direct solar radiation pressure on an axially symmetric spacecraft. II: The solution and the elements of transformation ⋮ PERSPECTIVES ON MEASURING THE PPN PARAMETERS β AND γ IN EARTH'S GRAVITATIONAL FIELD TO HIGH ACCURACY WITH CHAMP/GRACE MODELS ⋮ The equations of motion of the joint effects of the relativistic and solar radiation pressure on an Earth artificial satellite. ⋮ Relativistic effects in the critical inclination problem in artificial satellite theory ⋮ Analytical solutions to the four post-Newtonian effects in a near-Earth satellite orbit ⋮ The post-Newtonian effects in the critical inclination problem in artificial satellite theory ⋮ Canonical solution of the critical inclination problem taking into account PN-corrections ⋮ Relativistic satellite orbits: central body with higher zonal harmonics ⋮ A First Order Automated Lie Transform ⋮ A possible new test of general relativity with Juno ⋮ Bifurcation of frozen orbits in a gravity field with zonal harmonics

Cites Work

• Unnamed Item
• Canonical transformations depending on a small parameter
• The main problem of artificial satellite theory for small and moderate eccentricities
• A new algorithm for the Lie transformation

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