Results 271 to 280 of about 31,208 (318)
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The role of single orbits in dynamics
Inverse Problems, 2003Summary: We describe in some detail the structure of the set of infinitely many monoparametric families \(f(x,y) = c\) to which one, two or three single orbits \(f_0(x,y) = 0\) (possibly resulting from astronomical observations) may be classified. By a heuristic argument we show how families including more than three preassigned single orbits can be ...
Bozis, George, Blaga, Cristina
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2021
Orbital dynamics is primarily concerned with the motion of orbiting celestial and man-made bodies. A well-studied specific orbital dynamics problem is the classic two-body problem, where two celestial bodies keep moving under the gravitational influence of each other. This chapter presents an overview of the two-body orbital mechanics first.
S. Mathavaraj, Radhakant Padhi
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Orbital dynamics is primarily concerned with the motion of orbiting celestial and man-made bodies. A well-studied specific orbital dynamics problem is the classic two-body problem, where two celestial bodies keep moving under the gravitational influence of each other. This chapter presents an overview of the two-body orbital mechanics first.
S. Mathavaraj, Radhakant Padhi
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2022
Co-orbital planets (in a 1:1 mean motion resonance) can be formed within a Laplace resonance chain. Here, we develop a secular model to study the dynamics of the resonance chain p:p:p+1, where the co-orbital pair is in a first-order mean motion resonance with the outermost third planet.
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Co-orbital planets (in a 1:1 mean motion resonance) can be formed within a Laplace resonance chain. Here, we develop a secular model to study the dynamics of the resonance chain p:p:p+1, where the co-orbital pair is in a first-order mean motion resonance with the outermost third planet.
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Dynamical transport to planet crossing orbits
Celestial Mechanics and Dynamical Astronomy, 1997The study of small bodies on planet-crossing orbits brings out two main issues i.e. the identification of their birth place and how they got their current orbit.
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Acta Astronautica, 1988
Abstract Relations between position and velocity vectors at different points on a trajectory in a pure inverse-square field of force are derived without the use of geometrical descriptors of the orbit. An along-track “minimal” transformation variable is found, which permits the direct integration of the equation of motion.
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Abstract Relations between position and velocity vectors at different points on a trajectory in a pure inverse-square field of force are derived without the use of geometrical descriptors of the orbit. An along-track “minimal” transformation variable is found, which permits the direct integration of the equation of motion.
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Nuclear–electronic orbital Ehrenfest dynamics
The Journal of Chemical Physics, 2020The recently developed real-time nuclear–electronic orbital (RT-NEO) approach provides an elegant framework for treating electrons and selected nuclei, typically protons, quantum mechanically in nonequilibrium dynamical processes. However, the RT-NEO approach neglects the motion of the other nuclei, preventing a complete description of the coupled ...
Luning Zhao +5 more
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Dynamics of the orbiter-based WISP experiment
Acta Astronautica, 1989Abstract A methodology for reformulating equations of motion applicable to a large class of systems with interconnected flexible deployable members is briefly outlined. Effectiveness of the formulation is illustrated through its application to a problem of contemporary interest, the WISP ( W aves I n S pace P lasma) dipole antenna ...
V. MODI, A. IBRAHIM
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Dynamic Angiography of the Orbit
1978The vascular anatomy of the orbit is well known and yet it is subject to a great number of variations. These have become the source of many investigations in pathological cases.
M. T. Iba-Zizen +3 more
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2020
And at the highest, planetary, level of the structural hierarchy of the Solar system dynamical chaos also manifests itself. At the end of eighties—beginning of nineties of twentieth century, first ever estimates of the Lyapunov time of the Solar planetary system were obtained in massive and complicated numerical experiments.
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And at the highest, planetary, level of the structural hierarchy of the Solar system dynamical chaos also manifests itself. At the end of eighties—beginning of nineties of twentieth century, first ever estimates of the Lyapunov time of the Solar planetary system were obtained in massive and complicated numerical experiments.
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Addendum to ‘Periodic orbits and dynamical spectra’
Ergodic Theory and Dynamical Systems, 1998We survey some recent progress in the theory of dynamical zeta functions and explain its implications for counting problems.
Dolgopyat, Dmitry, Pollicott, Mark
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