Orbits near critical inclination, including lunisolar perturbations

DOI10.1007/BF01230514zbMath0471.70014OpenAlexW2035224162MaRDI QIDQ3926101

Michael E. Hough

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf01230514

zbMATH Keywords

critical inclinationvon Zeipel's methodsatellite motionlunisolar perturbationscatastrophes of the first kindcatastrophes of the second kindcoalescene of separatriceslong period perigee motion

Mathematics Subject Classification ID

Averaging method for ordinary differential equations (34C29) Celestial mechanics (70F15) Orbital mechanics (70M20) Dynamical systems with hyperbolic behavior (37D99)

Related Items (14)

Analytical solution to the perturbed \(J_ 2\) motion of artificial satellite in terms of Euler parameters ⋮ Study of the Earth's oblateness and rotating atmosphere effects upon an artificial satellite in terms of KS-regular variables ⋮ Analytical development of the lunisolar disturbing function and the critical inclination secular resonance ⋮ A study of single- and double-averaged second-order models to evaluate third-body perturbation considering elliptic orbits for the perturbing body ⋮ Searching for orbits with minimum fuel consumption for station-keeping maneuvers: an application to lunisolar perturbations ⋮ A note on lower bounds for relative equilibria in the main problem of artificial satellite theory ⋮ Motion of artificial satellites in the set of Eulerian redundant parameters. III ⋮ The critical inclination problem ? 30 years of progress ⋮ The motion of artificial satellites in the set of Eulerian redundant parameters ⋮ Third-body perturbation in the case of elliptic orbits for the disturbing body ⋮ Families of frozen orbits of lunar artificial satellites ⋮ The critical inclination problem with small eccentricity ⋮ Luni-solar effects of geosynchronous orbits at the critical inclination ⋮ Prediction of trajectories in the Earth's gravitational field with axial symmetry using KS uniform regular elements

Cites Work

• Satellite orbits about a planet with rotational symmetry
• The problem of the critical inclination revisited
• Lunar perturbations of artificial satellites of the earth
• The global solution of the problem of the critical inclination
• The critical inclination problem with small eccentricity
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