Results 1 to 10 of about 315,742 (287)

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

Celestial mechanics in Kerr spacetime [PDF]

Classical and Quantum Gravity, 2002
The dynamical parameters conventionally used to specify the orbit of a test particle in Kerr spacetime are the energy $E$, the axial component of the angular momentum, $L_{z}$, and Carter's constant $Q$.
Caroll B W, Cutler C, Frolov V P, Glampedakis C, Goldstein H, Goldstein H, Hille E, Ho L C, Hughes S A, Misner C W, Stoghianidis L, Thirring W, Thirring W, W Schmidt   +13 more
core   +5 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   +3 more sources

Degenerate billiards in celestial mechanics [PDF]

Regular and Chaotic Dynamics, 2017, 2016
In an ordinary billiard trajectories of a Hamiltonian system are elastically reflected after a collision with a hypersurface (scatterer). If the scatterer is a submanifold of codimension more than one, we say that the billiard is degenerate. Degenerate billiards appear as limits of systems with singularities in celestial mechanics.
Sergey V. Bolotin, Sergey V. Bolotin
arxiv   +6 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

Applications to celestial mechanics [PDF]

, 2018
El Problema Restringit de Tres Cossos (Restricted Three Body Problem en anglés) ha sigut àmpliament estudiat i té múltiples aplicacions en astrodinàmica i mecànica celest.
Torrent Canelles, Adrià
core   +2 more sources

Basic Celestial Mechanics [PDF]

arXiv, 2016
These are lecture notes of the lecture on elementary celestial mechanics read at Technische Universitaet Dresden, Dresden, Germany from 2000 till 2011.
arxiv   +3 more sources

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

On stability of triangular points of the restricted relativistic elliptic three-body problem with triaxial and oblate primaries [PDF]

Serbian Astronomical Journal, 2017
This paper investigates the location and linear stability of triangular points under combined effects of perturbations: triaxialty of a massive primary, oblateness of a less massive one, and relativistic corrections. The primaries in this system
Zahra K., Awad Z., Dwidar H.R., Radwan M.   +3 more
doaj   +1 more source