Orbital Motions and the Conservation-Law-Preferred-Frame α3 ParameterReport as inadecuate




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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





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 primarys 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 Systems 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





Author: Lorenzo Iorio

Source: http://mdpi.com/



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