Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 12 of 12 for “"n-body problem"”.
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On the N-body Problem
… in section 1. Section 2 deals with the following problem: given a collinear configuration of 4 bodies, under what conditions is it possible to choose positive masses which make it central. It is always possible to choose three positive masses such that the given three positions with the masses …
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Solving the N-body problem in astrophysics
The astrophysical N-body problem describes N point masses interacting with each other through pairwise gravitational forces. A solution of this problem is frequently necessary in dynamical astronomy. In the collisional N-body problem, the relaxation time is small compared to the timescale we are …
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Mathematical and Computational Methods for the n-Body Problem
The gravitational n-body problem, considered one of the most classical and enduring challenges in celestial mechanics, seeks to describe the motion of n masses interacting through Newtonian gravity. Despite its deceptively simple formulation, the problem exhibits a profound interplay between order …
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A Solution to the Circular Restricted N Body Problem in Planetary Systems
… thesis is a brief look at a new solution to a problem that has been approached in many different ways in the past - the N body problem. By focusing on planetary systems, satellite dynamics can be modeled in a fashion similar to the Circular Restricted Three Body Problem (CR3BP) with the …
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Existence of expansive solutions and Hamilton-Jacobi equations for the N-body problem
L'abstract è presente nell'allegato / the abstract is in the attachment
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Symplectic maps for the N-body problem with applications to solar system dynamics
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Earth, Atmospheric, and Planetary Sciences, 1994.
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Distribution-independent hierarchical N-body methods
<p>The N-body problem is to simulate the motion of N particles under the influence of mutual force fields based on an inverse square Law; The problem has applications in several domains including astrophysics, molecular dynamics, fluid dynamics, radiosity methods in computer graphics and numerical …
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Binary evolution in stellar dynamics
… studies of the classical gravitational N-body problem have demonstrated the importance in bound systems of energetic binaries formed dynamically. Since analytic and some numerical studies generally neglect three-body interactions, by which these form, it is desirable to establish what role …
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Mathematical Studies on the Asymptotic Behaviour of Gravitational Radiation in General Relativity
… to address this question is the *scattering problem* (as opposed to the Cauchy problem), where data are posed in the infinite past. The choice for these data is informed by making certain heuristic connections to the Newtonian theory (Post-Newtonian theory). It is then proved that there …
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Real root counting for parametric polynomial systems and applications.
… many different fields of study. Many important problems can be reduced to solving systems of polynomial equations and usually the coefficients involve parameters. This thesis is devoted to finding practical ways to solve such problems from two fields, the studies of central configurations from …
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Interplanetary Transfer Trajectories Using the Invariant Manifolds of Halo Orbits
… space travel, the Newtonian dynamics of the two-body problem have been used to design orbital trajectories to traverse the solar system. That is, that a spacecraft orbits only one large celestial body at a time. These dynamics have produced impressive interplanetary trajectories utilizing …