Accurate measurement in the field of the earth of the general-relativistic precession of the LAGEOS II pericenter and new constraints on non-Newtonian gravity
Lucchesi D, Peron R
Space Physics (physics.space-ph) General Relativity and Quantum Cosmology General Relativity Physics - Space Physics Experimental gravity Geophysics (physics.geo-ph) FOS: Physical sciences Space Physics Physics - Geophysics General Relativity and Quantum Cosmology (gr-qc) General Physics and Astronomy
The pericenter shift of a binary system represents a suitable observable to test for possible deviations from the Newtonian inverse-square law in favor of new weak interactions between macroscopic objects. We analyzed 13 years of tracking data of the LAGEOS satellites with GEODYN II software but with no models for general relativity. From the fit of LAGEOS II pericenter residuals we have been able to obtain a 99.8% agreement with the predictions of Einstein's theory. This result may be considered as a 99.8% measurement in the field of the Earth of the combination of the gamma and beta parameters of general relativity, and it may be used to constrain possible deviations from the inverse-square law in favor of new weak interactions parametrized by a Yukawa-like potential with strength alpha and range lambda. We obtained abs(alpha) 1x10. -11), a huge improvement at a range of about 1 Earth radius.
Source: PHYSICAL REVIEW LETTERS (PRINT), vol. 105 (issue 23), pp. 231103-1-231103-4
Grav., 16, 711 (1984). [9] I. Ciufolini and J. A. Wheeler, Gravitation and inertia
(Princeton University Press, Princeton, 1995). [10] I. Ciufolini, New Astron., 15, 332 (2010). [11] D. P. Rubincam, Celest. Mech., 15, 21 (1977). [12] D. E. Pavlis and et al., GEODYN II Operations Manual,
NASA GSFC (1998). [13] N. Ashby and B. Bertotti, Phys. Rev. Lett., 52, 485
(1984). [14] C. Huang, J. C. Ries, B. D. Tapley, and M. M. Watkins,
Celest. Mech. Dyn. Astron., 48, 167 (1990). [15] J. I. Andr`es de la Fuente, Ph.D. thesis, Delft University
Press (2007). [16] A. Milani, A. M. Nobili, and P. Farinella, Non-
Hilger, Bristol, 1987). [17] LAGEOS has an almost circular orbit, with an eccen-
tricity eI ≃ 0.004, a semimajor axis aI ≃ 12, 270 km
and an inclination over the Earth's equator iI ≃ 109.8◦.
LAGEOS II corresponding elements are: eII ≃ 0.014,
aII ≃ 12, 162 km and iII ≃ 52.66◦. [18] M. R. Pearlman, J. J. Degnan, and J. M. Bosworth,
Adv. Space Res., 30, 135 (2002). [19] D. D. McCarthy and G. Petit, IERS Conventions (2003),
IERS Technical Note 32 (IERS, 2004). [20] K. Nordtvedt, Phys. Rev., 169, 1017 (1968); C. M. Will,
Astrophys. J., 163, 611 (1971). [21] It is necessary to decompose the long arc in a number
of shorter arcs (15 days in our analysis), not causally
unmodeled or poorly modeled perturbations over the arc. [22] D. M. Lucchesi and G. Balmino, Plan. Space Sci., 54,
581 (2006). [23] I. Ciufolini, D. Lucchesi, F. Vespe, and A. Mandiello,
Nuovo Cim. A, 109, 575 (1996); I. Ciufolini, D. Luc-
39, 359 (1997); I. Ciufolini, E. Pavlis, F. Chieppa,
279, 2100 (1998); I. Ciufolini and E. C. Pavlis, Nature,
431, 958 (2004); I. Ciufolini, E. C. Pavlis, and R. Peron,
New Astron., 11, 527 (2006). [24] F. G. Lemoine and et al., Technical Paper NASA/TP-
1998-206861 (1998). [25] In this way, the gravity model has more or less the same
EGM96 is characterized by uncalibrated formal errors
with a relative high correlation between the coefficients. [26] C. Reigber and et al., J. Geodyn., 39, 1 (2005). [27] That is, Δωfit = a+bt+Pi Ci sin(2πt/Ti+φi), where b =
periods and phases of the periodic effects. [28] D. M. Lucchesi, Plan. Space Sci., 50, 1067 (2002). [29] These frequencies have been taken fixed, while ampli-
justed. [30] The analysis with EGM96 shows a smaller accuracy in
ǫω. The best result has a 2% discrepancy with respect to
the GR prediction in the case of LAGEOS II. [31] The total precession in the PPN formalism may be writ-
only. [32] D. M. Lucchesi, Phys. Lett. A, 318, 234 (2003). [33] J. Mu¨ller, J. G. Williams, and S. G. Turyshev, in Lasers,
& S. G. Turyshev (2008) p. 457.
Metrics
Back to previous page
@article{oai:it.cnr:prodotti:44385,
title = {Accurate measurement in the field of the earth of the general-relativistic precession of the LAGEOS II pericenter and new constraints on non-Newtonian gravity},
author = {Lucchesi D and Peron R},
doi = {10.1103/physrevlett.105.231103 and 10.48550/arxiv.1106.2905},
year = {2010}
}
0000-0002-7057-4785
