Results 11 to 20 of about 1,098,831 (311)
The N-Body Problem in Lotos [PDF]
Electronic Notes in Theoretical Computer Science, 2001 AbstractIt is shown how the classical n-body problem in mechanics can be generalised and formalised in Lotos. A number of variants are produced by instantiation of the specification framework. These include Newton's cradle, gas motion, the ‘game of life’, an orrery, a space game, an air traffic simulation and a sailing race.
Turner, Kenneth J. +2 more
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On the stability of the homographic polygon configuration in the many-body problem [PDF]
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2004 In this paper the stability of a new class of exact symmetrical solutions in the Newtonian gravitational (n + 1) -body problem is studied. This class of solution follows from a suitable geometric distribution of the (n+1) -bodies, and initial ...
Prokopenya, AN, Cattani, C
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Dual Hierarchy for Gravitational n-body [PDF]
, 2023 The n-body problem is the simulation of pair-wise interactions between n objects. This problem appears in many forms, with the classic example being the modeling of gravitational forces between point masses, necessary for cosmological simulations.
Campolattaro, Jackson (author)
core
Planetesimal Accretion at Short Orbital Periods
The Astrophysical Journal, 2023 Formation models in which terrestrial bodies grow via the pairwise accretion of planetesimals have been reasonably successful at reproducing the general properties of the Solar System, including small-body populations. However, planetesimal accretion has
Spencer C. Wallace, Thomas R. Quinn
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Regular Polygon Central Configuration of the Restricted 1 + N-Body Problem
Universe, 2023 We consider the central configurations of the 1+N-body problem, where N bodies are infinitesimal and the remaining one body is dominant. For regular polygon central configurations, we prove that the masses of all the infinitesimal bodies are equal when N
Jian Chen, Peng Bi, Mingfang Yang
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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.
Biggs, J.D. +8 more
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A Dynamical Survey of the Trans-Neptunian Region. I. Mean-motion Resonances with Neptune
The Astrophysical Journal Supplement Series, 2023 In this paper, we present a large-scale dynamical survey of the trans-Neptunian region, with particular attention to mean-motion resonances (MMRs). We study a set of 4121 trans-Neptunian objects (TNOs), a sample far larger than in previous works.
E. Forgács-Dajka +4 more
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Some problems on the classical n-body problem [PDF]
Celestial Mechanics and Dynamical Astronomy, 2012 10 pages, list of mathematical ...
Albouy, Alain +2 more
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Majorant series for theN-body problem [PDF]
International Journal of Computer Mathematics, 2021 27 pages, 5 ...
Mikel Antoñana +2 more
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New Classes of Spatial Central Configurations for N + N + 2-Body Problem
Abstract and Applied Analysis, 2012 Under arbitrary masses, in this paper, we discuss the existence of new families of spatial central configurations for the N + N + 2-body problem, 𝑁≥2.
Liu Xuefei +3 more
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