Results 1 to 10 of about 45,587 (229)
Celestial Mechanics, Conformal Structures, and Gravitational Waves [PDF]
, 2005 The equations of motion for $N$ non-relativistic particles attracting according to Newton's law are shown to correspond to the equations for null geodesics in a $(3N+2)$-dimensional Lorentzian, Ricci-flat, spacetime with a covariantly constant null ...
A. A. Koppel +61 more
core +2 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. +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]
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. +3 more
doaj +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
Analytical formulations to the method of variation of parameters in terms of universal Y's functions [PDF]
Serbian 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
Collision dynamics in Hénon-Heiles’ two-body problem [PDF]
Serbian 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
Elementary Solution of Kepler Problem (and a few other problems)
Revista 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
RUDN 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
The earth orbiting space debris [PDF]
Serbian 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
The Role of a Steepness Parameter in the Exponential Stability of a Model Problem. Numerical Aspects [PDF]
Serbian Astronomical Journal, 2011 The Nekhoroshev theorem considers quasi integrable Hamiltonians providingstability of actions in exponentially long times.One of the hypothesis required by the theorem is a mathematical condition called steepness. Nekhoroshev conjectured that different
Todorovic, N.
doaj +3 more sources