Orbital precession and other properties of two-body motion in the presence of dark energy
arXiv:2409.11427 · doi:10.1142/S021827182350030X
Abstract
We consider the Kepler two-body problem in the presence of a cosmological constant Lambda. Several dimensionless parameters characterizing the possible orbit typologies are used to identify open and closed trajectories. The qualitative picture of the two-body motion is described and critical parameters of the problem are found.
arXiv comment21 pages, 9 figures
References in corpus (26)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
- Cosmological parameters from SDSS and WMAP
- The Cosmological Constant
- General Relativity and Cosmology: Unsolved Questions and Future Directions
- Solar system effects in Schwarzschild--de Sitter spacetime
- Editorial for the Special Issue 100 Years of Chronogeometrodynamics: The Status of the Einstein's Theory of Gravitation in Its Centennial Year
- Standard Clocks, Orbital Precession and the Cosmological Constant
- Orbital precession due to central-force perturbations
- Compact calculation of the Perihelion Precession of Mercury in General Relativity, the Cosmological Constant and Jacobi's Inversion problem
- Solar and stellar system tests of the cosmological constant
- Two-body problem with the cosmological constant and observational constraints
- Evolution of gravitational orbits in the expanding universe
- One Hundred Years of the Cosmological Constant: from 'Superfluous Stunt' to Dark Energy
- Cosmological perturbations on local systems
- Can Solar System observations tell us something about the cosmological constant?
- Solar System motions and the cosmological constant: a new approach
- Note on the perihelion/periastron advance due to cosmological constant
- Remark on orbital precession due to central-force perturbations
- Perspectives on constraining a cosmological constant-type parameter with pulsar timing in the Galactic Center
- Anthropic constraints on the cosmological constant from Sun's motion through the Milky Way
- Comment on perihelion advance due to cosmological constant
- Century of
- Galaxy clusters in presence of dark energy: a kinetic approach
- Two body problem in presence of cosmological constant