Collinear equilibrium points of Hill's problem with radiation and oblateness and their fractal basins of attraction
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Publication:970076
DOI10.1007/s10509-009-0213-5zbMath1208.85001OpenAlexW2056557961MaRDI QIDQ970076
Publication date: 10 May 2010
Published in: Astrophysics and Space Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10509-009-0213-5
Three-body problems (70F07) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Galactic and stellar dynamics (85A05)
Related Items (14)
On the spatial collinear restricted four-body problem with non-spherical primaries ⋮ Basins of convergence of equilibrium points in the restricted three-body problem with modified gravitational potential ⋮ EQUILIBRIUM POINTS AND THEIR STABILITY IN THE RESTRICTED FOUR-BODY PROBLEM ⋮ Variable mass motion in the Hénon–Heiles system ⋮ Basins of Convergence in the Circular Sitnikov Four-Body Problem with Nonspherical Primaries ⋮ Equilibrium points and basins of convergence in the linear restricted four-body problem with angular velocity ⋮ On Sitnikov-like motions generating new kinds of 3D periodic orbits in the R3BP with prolate primaries ⋮ Investigation of the effect of albedo and oblateness on the circular restricted four variable bodies problem ⋮ Analytical and semianalytical treatment of the collinear points in the photogravitational relativistic RTBP ⋮ Equilibrium points of the restricted three-body problem with equal prolate and radiating primaries, and their stability ⋮ On the convergence dynamics of the Sitnikov problem with non-spherical primaries ⋮ Investigating the Newton-Raphson basins of attraction in the restricted three-body problem with modified Newtonian gravity ⋮ The effect of perturbations on the circular restricted four-body problem with variable masses ⋮ Basins of Convergence of Equilibrium Points in the Generalized Hill Problem
Cites Work
- The linear stability of libration points of the photogravitational restricted three-body problem when the smaller primary is an oblate spheroid
- A photogravitational Hill problem and radiation effects on Hill stability of orbits
- Collinear equilibria and their characteristic exponents in the restricted three-body problem when the primaries are oblate spheroids
- Stationary solutions and their characteristic exponents in the restricted three-body problem when the more massive primary is an oblate spheroid
- The restricted 3-body problem with radiation pressure
- BURRAU'S PROBLEM OF THREE BODIES
- A Hill problem with oblate primaries and effect of oblateness on Hill stability of orbits
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