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Periodic Solutions for Some Second Order Hamiltonian Systems
Second order Hamiltonian systems Periodic solutions Saddle point theorems
2011/9/25
We use saddle point theorems of Benci-Rabinowitz and Silva to study the existence of periodic solutions with a fixed energy for a few second order Hamiltonian conservative systems without any symmetry...
Next-to-next-to-leading order post-Newtonian spin(1)-spin(2) Hamiltonian for self-gravitating binaries
Next-to-next-to-leading order post-Newtonian spin(1)-spin(2) Hamiltonian for self-gravitating binaries
2011/10/17
We present the next-to-next-to-leading order post-Newtonian (PN) spin(1)-spin(2) Hamiltonian for two self-gravitating spinning compact objects. If both objects are rapidly rotating, then the correspon...
Extending the effective-one-body Hamiltonian of black-hole binaries to include next-to-next-to-leading spin-orbit couplings
Extending Hamiltonian black-hole binaries couplings
2011/10/17
In the effective-one-body (EOB) approach the dynamics of two compact objects of masses m1 and m2 and spins S1 and S2 is mapped into the dynamics of one test particle of mass mu = m1 m2/(m1+m2) and spi...
Goldstone's Theorem and Hamiltonian of Multi-galileon Modified Gravity
Goldstone's Theorem Hamiltonian of Multi-galileon Modified Gravity
2010/11/16
The galileon model was recently proposed to locally describe a class of modi ed gravity theories,including the braneworld DGP model. We discuss spontaneous symmetry breaking of the self-accelerating b...
A Map for a Group of Resonant Cases in a Quartic Galactic Hamiltonian
elliptical-orbits-regular and chaotic motion maps Hamiltonian stability
2009/5/20
We present a map for the study of resonant motion in a potential
made up of two harmonic oscillators with quartic perturbing terms.
This potential can be considered to describe motion in the central...
THIRD DERIVATIVES OF THE INTEGRABLE PART OF AN ASTEROID HAMILTONIAN
Celestial mechanics-Minor planets asteroids
2009/2/16
To apply the theorem of Nekhoroshev (1977) to asteroids, one ¯rst
has to check whether a necessary geometrical condition is ful¯lled: either convexity,
or quasi-convexity, or only a 3-jet ...
On the Non-integrability of a Class of Hamiltonian Cosmological Models
the Non-integrability Hamiltonian Cosmological Models
2010/10/15
The method of Morales and Ramis determines whether a given Hamiltonian system is non-integrable. We apply this method to Friedmann Robertson Walker models with a self-interacting scalar field and cosm...