Projective dynamics and classical gravitation
From MaRDI portal
Publication:652993
DOI10.1134/S156035470806004XzbMath1229.70031arXivmath-ph/0501026MaRDI QIDQ652993
Publication date: 6 January 2012
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0501026
Two-body problems (70F05) Dynamical systems in classical and celestial mechanics (37N05) Projective differential geometry (53A20)
Related Items (13)
Projective dynamics and an integrable Boltzmann billiard model ⋮ Darboux inversions of the Kepler problem ⋮ Keplerian Dynamics on the Heisenberg Group and Elsewhere ⋮ Examples of integrable and non-integrable systems on singular symplectic manifolds ⋮ Scaling symmetries, contact reduction and Poincaré’s dream ⋮ Projective integrable mechanical billiards ⋮ Orbits in the problem of two fixed centers on the sphere ⋮ Revisiting Kepler: new symmetries of an old problem ⋮ Integrable systems and group actions ⋮ Projective dynamics and first integrals ⋮ Periodic orbits in the Kepler-Heisenberg problem ⋮ On the Equivalence Between Type I Liouville Dynamical Systems in the Plane and the Sphere ⋮ Lambert's theorem and projective dynamics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Projective dynamics and first integrals
- Generalized problem of two and four Newtonian centers
- Trajectory equivalence and corresponding integrals
- Projectively equivalent metrics, exact transverse line fields and the geodesic flow on the ellipsoid
- The \(n\)-body problem and mutual distances
- The Kepler problem. Group theoretical aspects, regularization and quantization, with application to the study of perturbations (incl. CD-ROM)
- Interactions between mechanics and differential geometry in the \(19^{th}\) century
- Relations between integrable systems in plane and curved spaces
- Response to “Comment on ‘Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere S2 and the hyperbolic plane H2’ ” [J. Math. Phys. 46, 052702 (2005)]
- Higher-Dimensional Integrable Newton Systems with Quadratic Integrals of Motion
- Killing tensors in spaces of constant curvature
- Motion of three vortices
- A characterization of the Ligon-Schaaf regularization map
- Quasi-Lagrangian systems of Newton equations
- Generalizing the classical fixed-centres problem in a non-Hamiltonian way
- Fitting hyperbolic pants to a three-body problem
- Generalization of Appell's Transformation
- On the Transformation of the Equations of Dynamics
This page was built for publication: Projective dynamics and classical gravitation
