An analytic solution for theJ 2 perturbed equatorial orbit

DOI10.1007/BF01375506zbMath0535.70030OpenAlexW2998154729MaRDI QIDQ3319832

D. J. Jezewski

Publication date: 1983

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01375506

zbMATH Keywords

equatorial plane\(J_ 2\) termanalytical solution in terms of elliptic functions and integralsperiapsis distancessatellite perturbation due to Earth's oblateness

Mathematics Subject Classification ID

Celestial mechanics (70F15) Orbital mechanics (70M20)

Related Items (5)

Analytical solutions for \(J_2\)-perturbed unbounded equatorial orbits ⋮ Solutions and periodicity of satellite relative motion under even zonal harmonics perturbations ⋮ A satellite relative motion model including \(J_2\) and \(J_3\) via Vinti's intermediary ⋮ Satellite onboard orbit propagation using Deprit's radial intermediary ⋮ Canonical elements and Keplerian-like solutions for intermediary orbits of satellites of an oblate planet

Cites Work

• A noncanonical analytic solution to theJ 2 perturbed two-body problem
• Radius of convergence of Lie series for some elliptic elements
• Satellite prediction formulae for Vinti's model
• Gravitational perturbations of equatorial orbits
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