1998/03/09 by F. I. Cooperstock, Valerio Faraoni, V. Faraoni +2 · 119 citations
Earth and Planetary Sciences · Physics and Astronomy · #Astronomy #Astrophysics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Equations of motion #Fermi Gamma-ray Space Telescope #Geophysics and Gravity Measurements #Inertial frame of reference #Metric expansion of space #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Relativity and Gravitational Theory #astro-ph #gr-qc
paper · pdf · doi:10.1086/305956
published in The Astrophysical Journal 503(1), 61-66 (IOP Publishing) · To appear in the Astrophysical Journal, Latex
arxiv created 1998/03/09 · openalex publication_date 1998/08/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08
Following renewed interest, the problem of whether the cosmological expansion affects the dynamics of local systems is reconsidered. The cosmological correction to the equations of motion in the locally inertial Fermi normal frame (the relevant frame for astronomical observations) is computed. The evolution equations for the cosmological perturbation of the two-body problem are solved in this frame. The effect on the orbit is insignificant, as are the effects on the galactic and galactic-cluster scales.