Issue |
A&A
Volume 431, Number 1, February III 2005
|
|
---|---|---|
Page(s) | 385 - 389 | |
Section | Celestial mechanics and astrometry | |
DOI | https://doi.org/10.1051/0004-6361:20041646 | |
Published online | 02 February 2005 |
Is it possible to measure the Lense-Thirring effect on the orbits of the planets in the gravitational field of the Sun?
Dipartimento di Fisica dell'Università di Bari, via Amendola 173, 70126 Bari, Italy e-mail: lorenzo.iorio@libero.it
Received:
12
July
2004
Accepted:
5
October
2004
In this paper we explore a novel approach to try to
measure the post-Newtonian Lense-Thirring secular effect
induced by the gravitomagnetic field of the Sun on planetary
orbital motion. Due to the relative smallness of the solar
angular momentum J and the large values of the planetary
semimajor axes a, the gravitomagnetic precessions, which affect
the nodes Ω and the perihelia ω and are proportional
to
, are of the order of 10-3 arcsec per century
only for, e.g., Mercury. This value lies just at the edge of the
present-day observational sensitivity in reconstructing the
planetary orbits, although the future mission BepiColombo should
allow it to be increased. The major problems come from the main
sources of systematic errors. They are the aliasing classical
precessions induced by the multipolar expansion of the Sun's
gravitational potential and the classical secular N-body
precessions which are of the same order of magnitude or much
larger than the Lense-Thirring precessions of interest. This
definitely rules out the possibility of analyzing only one orbital
element of, e.g., Mercury. In order to circumvent these problems,
we propose a suitable linear combination of the orbital residuals
of the nodes of Mercury, Venus and Mars which is, by construction,
independent of such classical secular precessions. A 1-sigma
reasonable estimate of the obtainable accuracy yields a 36%
error. Since the major role in the proposed combination is played
by Mercury's node, it could happen that new, more accurate
ephemerides available in the future thanks to the BepiColombo
mission will offer an opportunity to improve the present
unfavorable situation.
Key words: gravitation / celestial mechanics / solar system: general
© ESO, 2005
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