Journal of Guidance Control and Dynamics · 2005 · 53 citations · 17 references
Natural SciencesAerospace EngineeringAstrodynamicsDynamical SystemsOrbital MechanicsBifurcation TheoryOrbital DynamicsOrbital StabilityPeriodic OrbitsPlanetary SatellitesStability TheoryBifurcation Of Periodic OrbitsCritical Inclination OrbitsElliptic OrbitsPeriodic Orbit BifurcationPeriodic Orbit FamiliesPolar OrbitsStable Periodic OrbitsUnstable Periodic Orbits
The dynamics of an orbiter close to a planetary satellite are known to be unstable from a wide range of inclinations encompassing polar orbits. Taking the Jupiter-Europa system as our model, we use numerically determined periodic orbits to investigate the stability of motion over three-dimensional space for this problem. We have found that the change in stability is produced by a bifurcation in phase space. At a certain critical inclination, almost circular periodic orbits change their stability character to instability and new families of (stable) elliptic orbits appear. Copyright © 2004 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.
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Advances in astronautical sciences
Luke Shepherd · Planetary and Space Science · 1963 · 1.3K citations
V. Szebehely · NASA Technical Reports Server (NASA) · 1967 · 1.3K citations
Researches in the Lunar Theory
George William Hill · American Journal of Mathematics · 1878 · 612 citations