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Spacecraft Orbits and Orbital Dynamics
2021The trajectory of a spacecraft’s center of mass in space is called its orbit, which entails physical features such as position, velocity, acceleration, and time. The orbital characteristics of a spacecraft are mainly affected by different factors including its initial kinematic properties, the mechanical environment of space, active control forces, and
Yongchun Xie +3 more
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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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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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Floating orbital molecular dynamics simulations
Physical Chemistry Chemical Physics, 2014We introduce an alternative ab initio molecular dynamics simulation as a unification of Hartree-Fock molecular dynamics and the floating orbital approach. The general scheme of the floating orbital molecular dynamics method is presented. Moreover, a simple but sophisticated guess for the orbital centers is provided to reduce the number of electronic ...
Eva, Perlt +2 more
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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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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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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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Periodic Orbit Origins of Dynamical Localization
Physical Review Letters, 1996We construct a simple semiclassical argument to correlate dynamical localization, observed in several nonintegrable quantum dynamics, with the dominance of diffusive periodic orbits over ballistic ones. We use the kicked rotor (and modifications thereof) dynamics to illustrate the procedure though the argument is valid for any quantum dynamical system ...
, Scharf, , Sundaram
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