The relativistic precession of the orbits

D’Eliseo, Maurizio M.

doi:10.1007/s10509-012-1142-2

Cited by 4 publications

(1 citation statement)

References 60 publications

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“…In these units it is easy for us to compare it with the strengths of other magnetic-like forces, e.g eB m , in electromagnetism. Precession from a magneticlike force perturbation has been worked out in detail from the first principle in (Xu 2011) (see also (Ni 2012;Adkins & McDonnell 2007;Chashchina & Silagadze 2008;Ruggiero 2010;D'Eliseo 2012;Iorio et al 2011). )…”

Section: Field Strength From Precession In the Solar Systemmentioning

confidence: 99%

Constraining the String Gauge Field by Galaxy Rotation Curves and Perihelion Precession of Planets

Cheung

2013

ApJ

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We discuss a cosmological model in which the string gauge field coupled universally to matter gives rise to an extra centripetal force and will have observable signatures on cosmological and astronomical observations. Several tests are performed using data including galaxy rotation curves of twenty-two spiral galaxies of varied luminosities and sizes, and perihelion precessions of planets in the solar system. The rotation curves of the same group of galaxies are independently fit using a dark matter model with the generalized Navarro-Frenk-White (NFW) profile and the string model. Remarkable fit of galaxy rotation curves is achieved using the one-parameter string model as compared to the three-parameter dark matter model with the Navarro-Frenk-White profile. The average χ 2 value of the NFW fit is 9% better than that of the string model at a price of two more free parameters. Furthermore, from the string model, we can give a dynamical explanation for the phenomenological Tully-Fisher relation. We are able to derive a relation between field strength, galaxy size and luminosity, which can be verified with data from the 22 galaxies. To further test the hypothesis of the universal existence of the string gauge field, we apply our string model to the solar system. Constraint on the magnitude of the string field in the solar system is deduced from the current ranges for any anomalous perihelion precession of planets allowed by the latest observations. The field distribution resembles a dipole field originating from the Sun. The string field strength deduced from the solar system observations is of a similar magnitudes as the field strength needed to sustain the rotational speed of the sun inside the Milky Way. This hypothesis can be tested further by future observations with higher precision.

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Section: Field Strength From Precession In the Solar Systemmentioning

confidence: 99%

Constraining the String Gauge Field by Galaxy Rotation Curves and Perihelion Precession of Planets

Cheung

2013

ApJ

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Weyl conformastatic perihelion advance

Capistrano

Roque

Valada

2014

Monthly Notices of the Royal Astronomical Society

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In this paper, we examine a static gravitational field with axial symmetry over probe particles in the solar system. Using the Weyl conformastatic solution as a model, we find a non-standard expression to perihelion advance due to the constraints imposed by the topology of the local gravitational field. We show that the application of the slow motion condition to the geodesic equations without altering Einstein's equations does not necessarily lead to the Newtonian limit; rather it leads to an intermediate nearly-newtonian gravitational stage, which can be applied to astrophysical problems in solar scale. We apply the model to the perihelion advance of inner planets and minor objects (NEO asteroids and the comets). As a result, we obtain an expression of a non-standard relativistic precession that reveals a close agreement to observational data calibrated with the Ephemerides of the Planets and the Moon (EPM2011). The study of perihelion advance of eight small celestial bodies (asteroids and comets) is also considered.

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Anomalous precession of planets for a Weyl conformastatic solution

Capistrano

Penagos

Alárcon

2016

Mon. Not. R. Astron. Soc.

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In this paper, we investigate the anomalous planets precession in the nearly-newtonian gravitational regime. This limit is obtained from the application of the slow motion condition to the geodesic equations without altering the geodesic deviation equations. Using a non-standard expression for the perihelion advance from the Weyl conformastatic vacuum solution as a model, we can describe the anomaly in planets precession compared with different observational data from Ephemerides of the Planets and the Moon (EPM2008 and EPM2011) and Planetary and Lunar Ephemeris (INPOP10a). As a result, using the Levenberg-Marquardt algorithm and calculating the related Chi-squared statistic, we find that the anomaly is statistical irrelevant in accordance with INPOP10a observations. As a complement to this work, we also do an application to the relativistic precession of giant planets using observational data calibrated with the EPM2011.

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The relativistic precession of the orbits

Cited by 4 publications

References 60 publications

Constraining the String Gauge Field by Galaxy Rotation Curves and Perihelion Precession of Planets

Constraining the String Gauge Field by Galaxy Rotation Curves and Perihelion Precession of Planets

Weyl conformastatic perihelion advance

Anomalous precession of planets for a Weyl conformastatic solution

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