Next Article in Journal
Bianchi Type I Cosmological Models in Eddington-inspired Born–Infeld Gravity
Next Article in Special Issue
Nonlocal General Relativity
Previous Article in Journal / Special Issue
Constraints on Non-Standard Gravitomagnetism by the Anomalous Perihelion Precession of the Planets
Article Menu

Export Article

Open AccessArticle
Galaxies 2014, 2(4), 482-495; doi:10.3390/galaxies2040482

Orbital Motions and the Conservation-Law/Preferred-Frame α3 Parameter

Italian Ministry of Education, University and Research (M.I.U.R.)-Education, Fellow of the Royal Astronomical Society (F.R.A.S.), Viale Unità di Italia 68, Bari (BA) 70125, Italy
Received: 10 June 2014 / Revised: 12 September 2014 / Accepted: 12 September 2014 / Published: 29 September 2014
(This article belongs to the Special Issue Advances in Gravitational Research)
View Full-Text   |   Download PDF [338 KB, uploaded 29 September 2014]

Abstract

We analytically calculate some orbital effects induced by the Lorentz-invariance momentum-conservation parameterized post-Newtonian (PPN) parameter \(\alpha_3\) in a gravitationally bound binary system made of a primary orbited by a test particle. We neither restrict ourselves to any particular orbital configuration nor to specific orientations of the primary's spin axis \( {\hat{\psi}}\). We use our results to put preliminary upper bounds on \(\alpha_3\) in the weak-field regime by using the latest data from Solar System's planetary dynamics. By linearly combining the supplementary perihelion precessions \(\Delta\dot\varpi\) of the Earth, Mars and Saturn, determined by astronomers with the Ephemerides of Planets and the Moon (EPM) 2011 ephemerides for the general relativistic values of the PPN parameters \(\beta=\gamma=1\), we infer \(|\alpha_3|\lesssim 6\times 10^{-10}\). Our result is about three orders of magnitude better than the previous weak-field constraints existing in the literature and of the same order of magnitude of the constraint expected from the future BepiColombo mission to Mercury. It is, by construction, independent of the other preferred-frame PPN parameters \(\alpha_1,\alpha_2\), both preliminarily constrained down to a \(\approx 10^{-6}\) level. Future analyses should be performed by explicitly including \(\alpha_3\) and a selection of other PPN parameters in the models fitted by the astronomers to the observations and estimating them in dedicated covariance analyses. View Full-Text
Keywords: experimental  studies of gravity; experimental  tests of gravitational  theories; modified theories of gravity; solar system objects; orbit determination  and improvement; ephemerides, almanacs and calendars experimental  studies of gravity; experimental  tests of gravitational  theories; modified theories of gravity; solar system objects; orbit determination  and improvement; ephemerides, almanacs and calendars
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Iorio, L. Orbital Motions and the Conservation-Law/Preferred-Frame α3 Parameter. Galaxies 2014, 2, 482-495.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Galaxies EISSN 2075-4434 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top