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Four-body co-circular central configurations [PDF]
Nonlinearity, 2012 We classify the set of central configurations lying on a common circle in the Newtonian four-body problem. Using mutual distances as coordinates, we show that the set of four-body co-circular central configurations with positive masses is a two-dimensional surface, a graph over two of the exterior side-lengths.
Cors Iglesias, Josep Maria +1 more
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Circular Restricted n-Body Problem
Journal of Guidance, Control, and Dynamics, 2022 This paper introduces the Circular Restricted n-Body Problem (CRNBP), an extension of the bicircular restricted four-body problem (BCR4BP) designed to describe the dynamics of an n-body system. In the CRNBP, each massive body in the system is constrained to follow a Keplerian motion, similar to the BCR4BP's artificial constraint.
Rodolfo Batista Negri +1 more
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Amplitude Enhancement of Flow-Induced Vibration for Energy Harnessing [PDF]
E3S Web of Conferences, 2020 In this paper, flow-induced vibrations of bluff bodies with four different cross-sectional geometries (circle, square, triangle and semi-circle) arranged both in single and tandem (gap ratio equals to 3 and 5) configurations are investigated in a wind ...
Shao Ze +4 more
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Engineering Applications of Computational Fluid Mechanics, 2022 In this study, a fluid-structure interaction solver is employed to explore the flow physics of tandem oscillating square bluff bodies by varying the corner radius.
Ehsan Adeeb, Hojin Ha
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Quasi circular orbits around prolate bodies
Monthly Notices of the Royal Astronomical Society, 2021 ABSTRACT Recent observations of stellar occultations have revealed rings of particles around non-planetary bodies of the Solar system. These bodies are irregular and can be modelled by ellipsoids. In the context of numerical integrations for the study of studying the region close to these ellipsoidal bodies, it is known that the use of ...
T Ribeiro +4 more
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The stability of orbit of a planet in the field of binary stars
Physical Sciences and Technology, 2021 In the paper, we consider the motion of a planet in the field of the binary stars in the theory of generalrelativity (GR), when all bodies have their own rotation. We consider that the third body moves in the planof massive two bodies.
S. Toktarbay, A. Talkhat, A. Orazymbet
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Design of a Low-Energy Earth-Moon Flight Trajectory Using a Planar Auxiliary Problem
Applied Sciences, 2023 The paper presents a sufficiently simple technique for designing a low-energy flight trajectory of a spacecraft (SC) from the Earth to the Moon with insertion into a low circular orbit of the latter.
Ilya Nikolichev, Vladimir Sesyukalov
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Frontiers in Mechanical Engineering, 2020 Two-dimensional Cattaneo–Mindlin problem on a contact with slip and adhesion between two elastic bodies of the same material is considered in classical statement for circular cylinders as well as in more general statements: for non-circular cylinders ...
Taras Klimchuk, Volodymyr Ostryk
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Dynamical N -body equilibrium in circular dilaton gravity [PDF]
Classical and Quantum Gravity, 2003 4 pages, latex, reference added, minor changes in ...
Kerner, R., Mann, R. B.
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Periodic Solutions for Circular Restricted -Body Problems [PDF]
Abstract and Applied Analysis, 2013 For circular restricted -body problems, we study the motion of a sufficiently small mass point (called the zero mass point) in the plane of equal masses located at the vertices of a regular polygon. By using variational minimizing methods, for some , we prove the existence of the noncollision periodic solution for the zero mass point with some fixed ...
Xiaoxiao Zhao, Wei Li, Peng Wang
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