2013/10/29 by Jackson Levi Said, Joseph Sultana, Kristian Zarb Adami
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Astronomy #Circular orbit #Classical mechanics #Conformal map #Cosmology and Gravitation Theories #Geometry #Geophysics and Gravity Measurements #Gravitation #Gyroscope #Mathematical physics #Mathematics #Orbit (dynamics) #Physics #Precession #Quantum mechanics #Relativity and Gravitational Theory #Spin (aerodynamics) #gr-qc
paper · pdf · doi:10.1103/physrevd.88.087504
published as Phys. Rev. D 88, 087504, 2013 · 8 pages
openalex publication_date 2013/10/29 · arxiv created 2014/01/10 · arxiv updated 2014/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Gravitomagnetic effects are characterized by two phenomena: first, the geodetic effect which describes the precession of the spin of a gyroscope in a free orbit around a massive object, and second the Lense-Thirring effect which describes the precession of the orbital plane about a rotating source mass. We calculate both these effects in the fourth-order theory of conformal Weyl gravity for the test case of circular orbits. We show that for the geodetic effect a linear term arises which may be interesting for high radial orbits, whereas for the Lense-Thirring effect the additional term has a diminishing effect for most orbits. Circular orbits are also considered in general leading up to a generalization of Kepler's third law.