The Lense-Thirring effect in the Jovian system of the Galilean satellites and its measurability

Details The Lense-Thirring effect in the Jovian system of the Galilean satellites and its measurability The Lense-Thirring effect in the Jovian system of the Galilean satellites and its measurability

2005-08-27

arxiv.org/abs/gr-qc/0508112v2

Int.J.Mod.Phys. D14 (2005) 2039-2050

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, 10 pages, 4 tables, 3 figures, 27 references. Invited paper for a Special Issue of Int. J. Mod. Phys. D on the Lense-Th

Scientific paper

10.1142/S0218271805008133

In this paper we investigate the possibility of measuring the post-Newtonian general relativistic gravitomagnetic Lense-Thirring effect in the Jovian system of its Galilean satellites Io, Europa, Ganymede and Callisto in view of recent developments in processing and modelling their optical observations spanning a large time interval (125 years). The present day best observations have an accuracy between several kilometers to few tens of kilometers, which is just the order of magnitude of the Lense-Thirring shifts of the orbits of the Galilean satellites over almost a century. From a comparison between analytical development and numerical integration it turns out that, unfortunately, most of the secular component of the gravitomagnetic signature is removed in the process of fitting the initial conditions. Indeed, an estimation of the magnitude of the Lense-Thirring effect in the ephemerides residuals is given; the resulting residuals have a maximum magnitude of 20 meters only (over 125 years).

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