Origin and continuation of 3/2, 5/2, 3/1, 4/1 and 5/1 resonant periodic orbits in the circular and elliptic restricted three-body problem
Sign Up to like & getrecommendations! Published in 2018 at "Celestial Mechanics and Dynamical Astronomy"
DOI: 10.1007/s10569-018-9834-8
Abstract: We consider a planetary system consisting of two primaries, namely a star and a giant planet, and a massless secondary, say a terrestrial planet or an asteroid, which moves under their gravitational attraction. We study… read more here.
Keywords: circular elliptic; restricted three; periodic orbits; elliptic restricted ... See more keywords
The restricted three-body problem in cylindrical clouds
Sign Up to like & getrecommendations! Published in 2018 at "Celestial Mechanics and Dynamical Astronomy"
DOI: 10.1007/s10569-018-9869-x
Abstract: The fragmentation of interstellar molecular clouds has been investigated with great effort by many authors. In this paper, a simple model is given to describe the dynamics of two fragments moving in a special cylindrical… read more here.
Keywords: body problem; clouds; restricted three; three body ... See more keywords
The circular restricted three-body problem in curvilinear coordinates
Sign Up to like & getrecommendations! Published in 2018 at "Celestial Mechanics and Dynamical Astronomy"
DOI: 10.1007/s10569-018-9870-4
Abstract: We derive the exact equations of motion for the circular restricted three-body problem in cylindrical curvilinear coordinates together with a number of useful analytical relations linking curvilinear coordinates and classical orbital elements. The equations of… read more here.
Keywords: circular restricted; curvilinear coordinates; restricted three; problem ... See more keywords
Regularization of the Circular Restricted Three Body Problem on Surfaces of Constant Curvature
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DOI: 10.1007/s10884-017-9619-x
Abstract: We consider a restricted three body problem on surfaces of constant curvature. As in the classical Newtonian case the collision singularities occur when the position particle with infinitesimal mass coincides with the position of one… read more here.
Keywords: problem surfaces; restricted three; surfaces constant; body problem ... See more keywords
Contact geometry in the restricted three-body problem: a survey
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-022-00956-7
Abstract: These are expanded notes for an online mini-course taught for postgraduate students at UDELAR, Montevideo, Uruguay, in November 2020, remotely from the Mittag-Leffler Institute in Djursholm, Sweden. Lectures were recorded and are available on YouTube… read more here.
Keywords: three body; body problem; contact geometry; restricted three ... See more keywords
Geometry of transit orbits in the periodically-perturbed restricted three-body problem
Sign Up to like & getrecommendations! Published in 2022 at "Advances in Space Research"
DOI: 10.1016/j.asr.2022.04.029
Abstract: In the circular restricted three-body problem, low energy transit orbits are revealed by linearizing the governing dif-ferential equations about the collinear Lagrange points. This procedure fails when time-periodic perturbations are considered, such as perturbation due… read more here.
Keywords: time; problem; geometry; restricted three ... See more keywords
On the restricted three-body model of the dynamical behaviour of masses of C70 fullerenes at the nanoscale
Sign Up to like & getrecommendations! Published in 2022 at "Heliyon"
DOI: 10.1016/j.heliyon.2022.e08899
Abstract: The present study investigates the positions and stability of C70 fullerenes. Numerically, the positions and stability have been computed C70 fullerene at the nanoscale to show the effects of the parameters involved with the help… read more here.
Keywords: restricted three; three body; model dynamical; c70 fullerenes ... See more keywords
On the equilibria of the restricted three-body problem with a triaxial rigid body - I. Oblate primary
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DOI: 10.1016/j.rinp.2021.103990
Abstract: Abstract The restricted three-body problem, with a rigid triaxial oblate primary body, is being under investigation. Using numerical methods we reveal how the triaxility parameters affect the coordinates and the linear stability of the libration… read more here.
Keywords: three body; body problem; body; oblate primary ... See more keywords
Analysis of Resonant Periodic Orbits in the Framework of the Perturbed Restricted Three Bodies Problem
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DOI: 10.3390/universe9050239
Abstract: In this work, the perturbed equations of motion of the infinitesimal body are constructed in the framework of the circular restricted three-body problem when the main two bodies are oblate and radiating. Under the perturbations… read more here.
Keywords: problem; periodic orbits; analysis resonant; restricted three ... See more keywords