Zobrazeno 1 - 10
of 320
pro vyhledávání: '"37n05"'
The infinite spin problem is a problem concerning the rotational behavior of total collision orbits in the $n$-body problem. The question also makes sense for partial collision. When a~cluster of bodies tends to a (partial) collision, then its normal
Externí odkaz:
http://arxiv.org/abs/2408.16409
Autor:
Bors, Dorota, Stańczy, Robert
The existence of solutions to Tolman-Openheimer-Volkoff equation with linear equation of state modeling relativistic cloud of interacting particles is proved for mass parameter below certain threshold. For the intermediate values of mass parameters m
Externí odkaz:
http://arxiv.org/abs/2408.09751
Autor:
Hampton, Marshall
A new coordinate system on the tangent space to planar configurations is introduced to simplify some calculations on central configurations and relative equilibria in the $N$-body problem with a homogeneous potential, which includes the case of Newto
Externí odkaz:
http://arxiv.org/abs/2407.18615
Periodic orbits and cycles, respectively, play a significant role in discrete- and continuous-time dynamical systems (i.e. maps and flows). To succinctly describe their shifts when the system is applied perturbation, the notions of functional and fun
Externí odkaz:
http://arxiv.org/abs/2407.08079
This study extends the functional perturbation theory~(FPT) of dynamical systems, initially developed for investigating the shifts of invariant (un)stable manifolds within chaotic regions when subjected to global perturbations. In contrast, invariant
Externí odkaz:
http://arxiv.org/abs/2407.06440
Autor:
Liu, Yangshanshan, Zhang, Shiqing
The conjecture of the existence and the uniqueness of the strictly convex quadrilateral central configuration for the Newtonian 4-body problem is one of the most-talked open problems in the study of the classical n-body problems in celestial mechanic
Externí odkaz:
http://arxiv.org/abs/2407.02110
Autor:
Yu, Guowei
In the $N$-body problem, a motion is called hyperbolic, when the mutual distances between the bodies go to infinity with non-zero limiting velocities as time goes to infinity. For Newtonian potential, in \cite{MV20} Maderna and Venturelli proved that
Externí odkaz:
http://arxiv.org/abs/2405.17783
Motivated by the practical interest in the third-body perturbation as a natural cleaning mechanism for high-altitude Earth orbits, we investigate the dynamics stemming from the secular Hamiltonian associated with the lunar perturbation, assuming that
Externí odkaz:
http://arxiv.org/abs/2405.14593
Autor:
del Razo, Mauricio J.
Reaction-diffusion processes are the foundational model for a diverse range of complex systems, ranging from biochemical reactions to social agent-based phenomena. The underlying dynamics of these systems occur at the individual particle/agent level,
Externí odkaz:
http://arxiv.org/abs/2404.07119
Space debris mitigation guidelines represent the most effective method to preserve the circumterrestrial environment. Among them, end-of-life disposal solutions play a key role. A growing effort is devoted to exploit natural perturbations to lead the
Externí odkaz:
http://arxiv.org/abs/2403.01283