Results 1 to 10 of about 44,764 (247)

Celestial mechanics in Kerr spacetime [PDF]

open access: yesClassical and Quantum Gravity, 2002
25 pages (LaTeX), 5 figures, submitted to Class.
Caroll B W   +13 more
openaire   +5 more sources

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

open access: yesSerbian 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.   +1 more
doaj   +1 more source

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

open access: yesSerbian 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.   +3 more
doaj   +1 more source

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

open access: yesSerbian 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

Collision dynamics in Hénon-Heiles’ two-body problem [PDF]

open access: yesSerbian Astronomical Journal, 2003
We tackle the two-body problem associated to Hénon-Heiles’ potential in the special case of the collision singularity. Using McGehee-type transformations of the second kind, we blow up the singularity and replace it by the collision manifold Mc pasted on
Mioc V., Barbosu M.
doaj   +1 more source

Analytical formulations to the method of variation of parameters in terms of universal Y's functions [PDF]

open access: yesSerbian Astronomical Journal, 2015
The method of variation of parameters still has a great interest and wide applications in mathematics, physics and astrodynamics. In this paper, universal functions (the Y's functions) based on Goodyear's time transformation formula were used to
Sharaf M.A., Saad A.S., Selim H.H.
doaj   +1 more source

The nested planar central configurations of a trapezoid form in classical and generalized versions of the general (4n+1)-body problem

open access: yesRUDN Journal of Engineering Research, 2023
The study of central configurations, whose concepts and definitions were already formulated by the classics of celestial mechanics - Euler, Lagrange, Laplace and Liouville in the XVIII-XIX centuries, is of interest not only for celestial mechanics, but ...
Yulianna V. Perepelkina   +1 more
doaj   +1 more source

Elementary Solution of Kepler Problem (and a few other problems)

open access: yesRevista Brasileira de Ensino de Física, 2022
We present a simple method to obtain the solution of a few orbital problems: the Kepler problem, the modified Kepler problem by the addition of an inverse square potential and linear force.
M. Moriconi
doaj   +1 more source

The earth orbiting space debris [PDF]

open access: yesSerbian Astronomical Journal, 2005
The space debris population is similar to the asteroid belt, since it is subject to a process of high-velocity mutual collisions that affects the long-term evolution of its size distribution.
Rossi A.
doaj   +1 more source

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