Lagrangian Relative Equilibria in a Modified Three-Body Problem with a Rotationally Symmetric Ellipsoid
From MaRDI portal
Publication:5250028
DOI10.1137/130949233zbMath1391.70021OpenAlexW2055709756MaRDI QIDQ5250028
Cristina Stoica, Antonio Hernández-Garduño
Publication date: 15 May 2015
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/130949233
relative equilibrialinear stabilitybifurcationscalingoblatenesscenters of massenergy momentum methodfull three-body problem
Three-body problems (70F07) Dynamical systems in classical and celestial mechanics (37N05) Stability problems in rigid body dynamics (70E50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
- Relative equilibrium in the three-body problem with a rigid body
- Reduction, relative equilibria and potential in the two rigid bodies problem
- A study of the plane unrestricted three-body problem
- Halo orbit mission correction maneuvers using optimal control
- Stability in the full two-body problem
- Stability of the planar full 2-body problem
- On the restricted three body problem with oblate primaries
- Bifurcations of relative equilibria for one spheroidal and two spherical bodies
- Energy and stability in the full two body problem
- Stability for Lagrangian relative equilibria of three-point-mass systems
- Lagrangian relative equilibria for a gyrostat in the three-body problem: bifurcations and stability
- Sur le probleme des trois corps solides (on the problem of three rigid bodies)
- Lectures on Mechanics
- [https://portal.mardi4nfdi.de/wiki/Publication:4086763 Sur les solutions Lagrangiennes du probl�me des trois corps solides avec la loi de Weber]
- Stationary solutions and their characteristic exponents in the restricted three-body problem when the more massive primary is an oblate spheroid
- Relative equilibrium solutions in the four body problem
- Solar System Dynamics
- Connecting orbits and invariant manifolds in the spatial restricted three-body problem
- Existence and stability of libration points in the restricted three-body problem when the primaries are triaxial rigid bodies