Results 1 to 10 of about 103,423 (272)
On Langmuir’s periodic orbit [PDF]
Archiv der Mathematik, 2022 Niels Bohr successfully predicted in 1913 the energy levels for the hydrogen atom by applying certain quantization rules to classically obtained periodic orbits. Many physicists tried to apply similar methods to other atoms. In his well-known 1921 paper, I.~Langmuir established numerically the existence of a periodic orbit in the helium atom considered
K. Cieliebak +2 more
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New periodic orbits in the solar sail three-body problem [PDF]
, 2011 We identify displaced periodic orbits in the circular restricted three-body problem, wher the third (small) body is a solar sail. In particular, we consider solar sail orbits in the earth-sun system which are high above the exliptic plane.
C.R. McInnes +7 more
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Reversible Relative Periodic Orbits
Journal of Differential Equations, 2002 The aim of this paper is to extend recently obtained results [\textit{B. Sandstede}, \textit{A. Scheel} and \textit{C. Wulff}, J. Nonlinear Sci. 9, 349--378 (1999; Zbl 0951.35014); \textit{C. Wulff}, \textit{J. S. W. Lamb} and \textit{I. Melbourne}, Ergodic Theory Dyn. Syst.
Lamb, JSW, Wulff, C
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Planar resonant periodic orbits in Kuiper belt dynamics [PDF]
, 2005 In the framework of the planar restricted three body problem we study a considerable number of resonances associated to the Kuiper Belt dynamics and located between 30 and 48 a.u.
Beaugé +24 more
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Statistical properties of periodic orbits in 4-disk billiard system: pruning-proof property [PDF]
, 2005 Periodic orbit theory for classical hyperbolic system is very significant matter of how we can interpret spectral statistics in terms of semiclassical theory. Although pruning is significant and generic property for almost all hyperbolic systems, pruning-
Alekseev +67 more
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The American Mathematical Monthly, 1920 Mode of access: Internet.
Moulton, Forest Ray, 1872-1952. +5 more
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On the bifurcation and continuation of periodic orbits in the three-body problem
, 2011 We consider the planar three body problem of planetary type and we study the generation and continuation of periodic orbits and mainly of asymmetric periodic orbits. Asymmetric orbits exist in the restricted circular three body problem only in particular
Antoniadou, K. I. +2 more
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Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - Part II [PDF]
, 2004 We present a method for proving the existence of symmetric periodic, heteroclinic or homoclinic orbits in dynamical systems with the reversing symmetry.
Wilczak, D., Zgliczynski, P.
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Orbital Magnetization in Periodic Insulators [PDF]
Physical Review Letters, 2005 submitted to PRL; signs corrected in Eqs. (11), (12), (19), and (20)
T. THONHAUSER +3 more
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, 2011 We study the role of asymptotic curves in supporting the spiral structure of a N-body model simulating a barred spiral galaxy. Chaotic orbits with initial conditions on the unstable asymptotic curves of the main unstable periodic orbits follow the shape ...
Contopoulos, George, Harsoula, Mirella
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