The Two-Body Problem in Celestial Mechanics
نویسندگان
چکیده
منابع مشابه
Gauge freedom in the N-body problem of celestial mechanics
The goal of this paper is to demonstrate how the internal symmetry of the N-body celestial-mechanics problem can be exploited in orbit calculation. We start with summarising research reported in (Efroimsky 2002, 2003; Newman & Efroimsky 2003; Efroimsky & Goldreich 2003) and develop its application to planetary equations in non-inertial frames. This class of problems is treated by the variationo...
متن کاملImplicit gauge symmetry emerging in the N - body problem of celestial mechanics .
We revisit the Lagrange and Delaunay systems of equations of celestial mechanics, and point out a previously neglected aspect of these equations: in both cases the orbit resides on a certain 9(N-1)-dimensional submanifold of the 12(N-1)-dimensional space spanned by the orbital elements and their time derivatives. We demonstrate that there exists a vast freedom in choosing this submanifold. This...
متن کاملCelestial mechanics.
Albouy, Alain (Paris, France) Belbruno, Ed (Princeton, USA) Buck, Gregory (Saint Anselm College, USA) Chenciner, Alain (Paris, France) Corbera, Montserrat (Universitat de Vic, Spain) Cushman, Richard (Utrecht, Holland and Calgary, Canada) Diacu, Florin (Victoria, Canada) Gerver, Joseph (Rutgers, USA) Hampton, Marshall (Minneapolis, USA) Kotsireas, Ilias (Wilfried Laurier, Waterloo, Canada) Laco...
متن کاملThe n - Centre Problem of Celestial Mechanics for Large Energies
We consider the classical three-dimensional motion in a potential which is the sum of n attracting or repelling Coulombic potentials. Assuming a non-collinear configuration of the n centres, we find a universal behaviour for all energies E above a positive threshold. Whereas for n = 1 there are no bounded orbits, and for n = 2 there is just one closed orbit, for n ≥ 3 the bounded orbits form a ...
متن کاملGauge Freedom in the N - body Problem of Celestial
We summarise research reported in (Efroimsky 2002, 2003; Efroimsky & Goldreich 2003a,b) and develop its application to planetary equations in non-inertial frames. Whenever a standard system of six planetary equations (in the Lagrange, Delaunay, or other form) is employed, the trajectory resides on a 9(N-1)-dimensional submanifold of the 12(N-1)-dimensional space spanned by the orbital elements ...
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ژورنال
عنوان ژورنال: Journal of Humanistic Mathematics
سال: 2018
ISSN: 2159-8118
DOI: 10.5642/jhummath.201801.25