Results 11 to 20 of about 468,421 (285)
On stability of triangular points of the restricted relativistic elliptic three-body problem with triaxial and oblate primaries [PDF]
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
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The mass of (1) Ceres obtained from four close encounters [PDF]
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
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Parabolic orbits in Celestial Mechanics: a functional‐analytic approach
We prove the existence of half‐entire parabolic solutions, asymptotic to a prescribed central configuration, for the equation ẍ=∇U(x)+∇W(t,x),x∈Rd,where d⩾2 , U is a positive and positively homogeneous potential with homogeneity degree −α with α∈]0,2[ ,
A. Boscaggin+3 more
semanticscholar +1 more source
Analytical formulations to the method of variation of parameters in terms of universal Y's functions [PDF]
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.
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Collision dynamics in Hénon-Heiles’ two-body problem [PDF]
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.
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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
Elementary Solution of Kepler Problem (and a few other problems)
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
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The role of a steepness parameter in the exponential stability of a model problem: Numerical aspects [PDF]
The Nekhoroshev theorem considers quasi integrable Hamiltonians providing stability of actions in exponentially long times. One of the hypothesis required by the theorem is a mathematical condition called steepness.
Todorović N.
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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
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The earth orbiting space debris [PDF]
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.
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