Relativistic orbits with gravitomagnetic corrections

Abstract

Corrections to the relativistic orbits are studied considering higher order approximations induced by gravitomagnetic effects. We discuss in details how such corrections come out taking into account magnetic components in the weak field limit of gravitational field and then the theory of orbits is developed starting from the Newtonian one, the lowest order in the approximation. Finally, the orbital structure and the stability conditions are discussed giving numerical examples. Beside the standard periastron corrections of General Relativity, a new nutation effect is due to the c^{-3} corrections. The transition to a chaotic behavior strictly depends on the initial conditions. The orbital phase space portrait is discussed.

16 pages, 5 figures

References in corpus (24)

• LISA Capture Sources: Approximate Waveforms, Signal-to-Noise Ratios, and Parameter Estimation Accuracy
• Event rate estimates for LISA extreme mass ratio capture sources
• Capture of stellar--mass compact objects by massive black holes in galactic cusps
• Gravitomagnetic Effects in the Propagation of Electromagnetic Waves in Variable Gravitational Fields of Arbitrary-Moving and Spinning Bodies
• Confusion Noise from LISA Capture Sources
• Gravity Waves, Chaos, and Spinning Compact Binaries
• On the gravitomagnetic clock effect
• Evidence of the gravitomagnetic field of Mars
• Gravitational lensing by stars with angular momentum
• Estimating the detectable rate of capture of stellar mass black holes by massive central black holes in normal galaxies
• Gravitomagnetism and the Speed of Gravity
• On the Possibility of Measuring the Gravitomagnetic Clock Effect in an Earth Space-Based Experiment
• Detecting gravito-magnetism with rotation of polarization by a gravitational lens
• Higher Order Corrections in Gravitational Microlensing
• General relativistic galvano-gravitomagnetic effect in current carrying conductors
• Iorio's "high-precision measurement" of frame-dragging with the Mars Global Surveyor
• Gravitational lensing by spherically symmetric lenses with angular momentum
• Prospects for measuring the moment of inertia of pulsar PSR J0737-3039A
• Speed of gravity and gravitomagnetism
• The Lense-Thirring effect in the Jovian system of the Galilean satellites and its measurability
• Gravitomagnetism, clocks and geometry
• Gravitomagnetic corrections to the lensing deflection angle for spiral galaxy models
• Higher order corrections to lensing parameters for extended gravitational lenses
• On the impossibility of measuring a galvano-gravitomagnetic effect with current carrying semiconductors in a space-based experiment

Cited by in corpus (9)

• Phenomenology of the Lense-Thirring effect in the Solar System
• Long-term classical and general relativistic effects on the radial velocities of the stars orbiting Sgr A*
• The Newtonian limit of metric gravity theories with quadratic Lagrangians
• A tale of analogies: gravitomagnetic effects, rotating sources, observers and all that
• Gravitomagnetic induction in the field of a gravitational wave
• Gravitomagnetic corrections on gravitational waves
• From colored gravity to electromagnetism
• A note on the description of plane gravitational waves in Fermi coordinates
• Relativistic orbits and Gravitational Waves from gravitomagnetic corrections