Results 1 to 10 of about 287,576 (264)
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 +19 more
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Degenerate billiards in celestial mechanics [PDF]
Regular and Chaotic Dynamics, 2017 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
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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
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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.
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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
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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
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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.
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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
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.
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