Existence and linear stability of the rhomboidal periodic orbit in the planar equal mass four-body problem
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Publication:663646
DOI10.1016/j.jmaa.2011.10.032zbMath1232.70009OpenAlexW2085225327MaRDI QIDQ663646
Publication date: 27 February 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.10.032
regularizationfour-body problemcelestial mechanicsbinary collisionperiodic solution with singularityrhomboidal periodic orbit
Related Items (12)
New Phenomena in the Spatial Isosceles Three-Body Problem with Unequal Masses ⋮ Total collision in a four-body problem with Jacobi potential ⋮ The rhomboidal 4-body problem revisited ⋮ Linear stability analysis of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem ⋮ Stability of the rhomboidal symmetric-mass orbit ⋮ Linear stability of double-double orbits in the parallelogram four-body problem ⋮ Study on Chaotic Behavior of the Restricted Four-Body Problem with an Equilateral Triangle Configuration ⋮ New periodic orbits in the planar equal-mass five-body problem ⋮ Stability of Broucke's isosceles orbit ⋮ The existence of transversal homoclinic orbits in a planar circular restricted four-body problem ⋮ A new collision-based periodic orbit in the three-dimensional eight-body problem ⋮ Classification of periodic orbits in the planar equal-mass four-body problem
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