Results 1 to 10 of about 783,055 (280)

The IAU 2000 Resolutions for Astrometry, Celestial Mechanics, and Metrology in the Relativistic Framework: Explanatory Supplement [PDF]

Astronomical Journal, 2003
This paper discusses the IAU Resolutions B1.3, B1.4, B1.5 and B1.9 (2000) that were adopted during the 24th General Assembly in Manchester, 2000 and provides details and explanations for these Resolutions. It is explained why they present significant progress over the corresponding IAU 1991 Resolutions and why they are necessary in the light of present
M. Söffel, S. A. Klioner, Gérard Petit, Peter Wolf, Sergei M. Kopeikin, P. Bretagnon, V. A. Brumberg, N. Capitaine, Thibault Damour, Toshio Fukushima, B. Guinot, Tao Huang, L. Lindegren, Chao Ma, Kenneth Nordtvedt, John Ries, P. K. Seidelmann, D. Vokrouhlick, Clifford M. Will, Changyi Xu   +19 more
exaly   +4 more sources

Minimum Energy Configurations in the $N$-Body Problem and the Celestial Mechanics of Granular Systems [PDF]

, 2011
Minimum energy configurations in celestial mechanics are investigated. It is shown that this is not a well defined problem for point-mass celestial mechanics but well-posed for finite density distributions. This naturally leads to a granular mechanics extension of usual celestial mechanics questions such as relative equilibria and stability. This paper
A. Castellanos, A.J. Maciejewski, D. J. Scheeres, D.C. Richardson, D.J. Scheeres, D.J. Scheeres, D.J. Scheeres, D.J. Scheeres, E.G. Fahnestock, H. Cendra, J.A. Burns, J.C. Simo, K.A. Holsapple, L.S. Wang, P. Goldreich, P. Goldreich, P. Pravec, P. Sánchez, R. Moeckel, S. Smale, S. Smale, S.A. Jacobson, V.I. Arnold   +22 more
arxiv   +4 more sources

Perturbation theory and canonical coordinates in celestial mechanics [PDF]

, 2022
KAM theory owes most of its success to its initial motivation: the application to problems of celestial mechanics. The masterly application was offered by V.I.Arnold in the 60s who worked out a theorem, that he named the Fundamental Theorem (FT), especially designed for the planetary problem.
Gabriella Pinzari
arxiv   +3 more sources

Some Problems on the Classical N-Body Problem [PDF]

Celestial Mechanics and Dynamical Astronomy, 113(4) (2012), pp. 369-375, 2013
Our idea is to imitate Smale's list of problems, in a restricted domain of mathematical aspects of Celestial Mechanics. All the problems are on the n-body problem, some with different homogeneity of the potential, addressing many aspects such as central configurations, stability of relative equilibrium, singularities, integral manifolds, etc. Following
Albouy, Alain, Cabral, Hildeberto E., Santos, Alan A.   +2 more
arxiv   +4 more sources

Interaction between celestial and terrestrial reference frames and some considerations for the next VLBI-based ICRF [PDF]

Proc. Journees 2011: Earth rotation, reference systems and celestial mechanics: Synergies of geodesy and astronomy, Vienna, Austria, Sep 19-21, Vienna: Vienna University of Technology, 2012, 66-69, 2014
In this paper we outline several problems related to the realization of the international celestial and terrestrial reference frames ICRF and ITRF at the millimeter level of accuracy, with emphasis on ICRF issues. The main topics considered are: analysis of the current status of the ICRF, mutual impact of ICRF and ITRF, and some considerations for ...
Lambert, Sebastien, Ma, Chopo, Malkin, Zinovy, Schuh, Harald   +3 more
arxiv   +3 more sources

Well Posed Origin Anywhere Consistent Systems in Celestial Mechanics [PDF]

arXiv
Certain measurements in celestial mechanics necessitate having the origin O of a Cartesian coordinate system (CCS) coincide with a point mass. For the two and three body problems we show mathematical inadequacies in Newton's celestial mechanics equations (NCME) when the origin of a coordinate system coincides with a point mass.
Harry Gingold, Jocelyn Quaintance
arxiv   +3 more sources

The mass of (1) Ceres obtained from four close encounters [PDF]

Serbian Astronomical Journal, 2005
The technique of asteroid mass determination from perturbation during close approach requires as many as possible different close approaches in order to derive reliable mass of a perturber.
Kovačević Anđelka B., Kuzmanoski Mike S.   +1 more
doaj   +1 more source

Retracted: Can the chemical industry solve the climate change?On the role of human energy production, renewable energies, and the potential of chemistry as a solution provider

Chemie Ingenieur Technik, EarlyView., 2023
Let us consider an alternative perspective on climate change: The sum of solar radiation and heat generated by human activity result in a net energy input of 1.96 times that of the Sun on the Earth's surface. The expanding global population is expected to exacerbate this issue. Potential solutions are proposed, including replacement and heat recycling.
Martin Bertau, Gerald Steiner
wiley   +1 more source

Universal symbolic expression for radial distance of conic motion [PDF]

Serbian Astronomical Journal, 2014
In the present paper, a universal symbolic expression for radial distance of conic motion in recursive power series form is developed. The importance of this analytical power series representation is that it is invariant under many operations ...
Sharaf M.A., Saad A.S., Alshaery A.A.
doaj   +1 more source

Parameter and q asymptotics of Lq‐norms of hypergeometric orthogonal polynomials

International Journal of Quantum Chemistry, Volume 123, Issue 2, January 15, 2023., 2023
The weighted Lq‐norms of orthogonal polynomials are determined when q and the polynomial's parameter tend to infinity. They are given in this work by the leading term of the q and parameter asymptotics of the corresponding quantities of the associated probability density. These results are not only interesting per se, but also because they control many
Nahual Sobrino, Jesus S. Dehesa
wiley   +1 more source