Browsing Mathematics publications (MU) by Subject "Gravitation"
Now showing items 19 of 9

Chaos in the Kepler system
(American Institute of Physics, 199902)The longterm dynamical evolution of a Keplerian binary orbit due to the emission and absorption of gravitational radiation is investigated. This work extends our previous results on transient chaos in the planar case to ... 
Evolutionary dynamics while trapped in resonance: a Keplerian binary system perturbed by gravitational radiation
(American Institute of Physics, 199707)The method of averaging is used to investigate the phenomenon of capture into resonance for a model that describes a Keplerian binary system influenced by radiation damping and external normally incident periodic gravitational ... 
Gravitational induction
(Institute of Physics, 200810)We study the linear postNewtonian approximation to general relativity known as gravitoelectromagnetism (GEM); in particular, we examine the similarities and differences between GEM and electrodynamics. Notwithstanding ... 
Gravitational ionization: a chaotic net in the Kepler system
(American Institute of Physics, 199703)The longterm nonlinear dynamics of a Keplerian binary system under the combined influences of gravitational radiation damping and external tidal perturbations is analysed. Gravitational radiation reaction leads the binary ... 
Significance of c /sqrt2 in relativistic physics
(American Institute of Physics, 200411)In the description of relative motion in accelerated systems and gravitational fields, inertial and tidal accelerations must be taken into account, respectively. These involve a critical speed that in the first approximation ... 
Sustained resonance: a binary system perturbed by gravitational radiation
(American Institute of Physics, 200001)The general phenomena associated with sustained resonance are studied in this paper in connection with relativistic binary pulsars. We represent such a system by two point masses in a Keplerian binary system that evolves ... 
Tidal acceleration of ultrarelativistic particles
(EDP Sciences, 200505)We investigate the motion of free relativistic particles relative to the ambient medium around a gravitationally collapsed system. If the relative speed exceeds a critical value given by c/√2, the gravitational tidal ... 
Tidal dynamics in Kerr spacetime
(Institute of Physics, 200605)The motion of free nearby test particles relative to a stable equatorial circular geodesic orbit about a Kerr source is investigated. It is shown that the nonlinear generalized Jacobi equation can be transformed in this ... 
Ultrarelativistic motion: inertial and tidal effects in Fermi coordinates
(Institute of Physics, 200412)Fermi coordinates are the natural generalization of inertial Cartesian coordinates to accelerated systems and gravitational fields. We study themotion of ultrarelativistic particles and light rays in Fermi coordinates ...