Searcharxiv⌕ Search
Home/Archive/arXiv

arXiv · astro-ph/0306387

Theory of the Mercury's spin-orbit motion and analysis of its main librations

Nicolas Rambaux·Eric Bois
View original source ↗Read source document ↗Export metadata ↓

Abstract

The upcoming space missions, MESSENGER and BepiColombo with onboard instrumentation capable of measuring the rotational parameters stimulate the objective to reach an accurate theory of the rotational motion of Mercury. For obtaining the real motion of Mercury, we have used our relativistic BJV model of solar system integration including the coupled spin-orbit motion of the Moon. We have extended this model by generalizing the spin-orbit couplings to the terrestrial planets, notably Mercury. The updated model is called SONYR (acronym of Spin-Orbit N-BodY Relativistic model). The SONYR model giving an accurate solution of the spin-orbit motion of Mercury permits to analyze the different families of the Hermean rotational librations. The spin-orbit motion of Mercury is characterized by two proper frequencies (namely 15.847 and 1066 years) and its 3:2 resonance presents a second synchronism which can be understood as a spin-orbit secular resonance (278 898 years). By using the SONYR model, we find a new determination of the mean obliquity, namely 1.6 arcminutes. Besides, we identify in the Hermean librations the impact of the uncertainty of the greatest principal moment of inertia (\cmr2) on the obliquity and on the libration in longitude (2.3 mas and 0.45 as respectively for an increase of 1% on the \cmr2 value). These determinations prove to be suitable for providing constraints on the internal structure of Mercury.

Explore related subjects

astro-ph

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Nicolas Rambaux, Eric Bois. 2003-09-12. Theory of the Mercury's spin-orbit motion and analysis of its main librations. https://doi.org/10.1051/0004-6361%3A20031446

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2024

Deformation procedure for scalar fields in cosmology

This work offers an extension of the deformation procedure introduced in field theory to the case of standard cosmology in the presence of real scalar field in flat space-time. The procedure is shown to work for many models, which give rise to several different cosmic scenarios, evolving under the presence of first-order differential equations which solve the corresponding equations of motion very appropriately.

astro-ph↗
arXiv2023

Dark Energy is the Cosmological Quantum Vacuum Energy of Light Particles-The Axion and the Lightest Neutrino

We uncover the general mechanism producing the dark energy(DE). This is only based on well known quantum physics and cosmology. We show that the observed DE originates from the cosmological quantum vacuum of light particles which provides a continuous energy distribution able to reproduce the data. Bosons give positive contributions to the DE while fermions yield negative contributions. As usual in field theory, ultraviolet divergences are subtracted from the physical quantities. The subtractions respect the symmetries of the theory and we normalize the physical quantities to be zero for the Minkowski vacuum. The resulting finite contributions to the energy density and the pressure from the quantum vacuum grow as log a(t) where a(t) is the scale factor, while the particle contributions dilute as 1/a^3(t), as it must be for massive particles. The DE equation of state P = w(z)H turns to be w(z)<-1 with w(z) asymptotically reaching the value -1 from below.A scalar particle can produce the observed DE through its quantum cosmological vacuum provided:(i)its mass is of the order of 10^{-3} eV = 1 meV,(ii) it is very weakly coupled and (iii) it is stable on the time scale of the age of the universe. The axion vacuum thus appears as a natural candidate. The neutrino vacuum (especially the lightest mass eigenstate) can give negative contributions to the DE. We find that w(z=0) is slightly below -1 by an amount ranging from [-1.5 10^{-3}] to [-8 10^{-3}] and we predict the axion mass to be in the range between 4 and 5 meV. We find that the universe will expand in the future faster than the de Sitter universe, as an exponential in the square of the cosmic time. DE arises from the quantum vacua of light particles in FRW cosmological space time in an analogous way to the Casimir effect in Minkowski spacetime with non trivial boundaries.

astro-ph↗