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of 305
pro vyhledávání: '"70F07"'
The two-boost problem in space mission design asks whether two points of phase space can be connected with the help of two boosts of given energy. We provide a positive answer for a class of systems related to the restricted three-body problem by def
Externí odkaz:
http://arxiv.org/abs/2412.08415
Autor:
Aydin, Cengiz, Batkhin, Alexander
In the framework of the spatial circular Hill three-body problem we illustrate the application of symplectic invariants to analyze the network structure of symmetric periodic orbit families. The extensive collection of families within this problem co
Externí odkaz:
http://arxiv.org/abs/2410.21245
Autor:
Drory, Alon
I introduce an extended configuration space for classical mechanical systems, called pair-space, which is spanned by the relative positions of all the pairs of bodies. To overcome the non-independence of this basis, one adds to the Lagrangian a term
Externí odkaz:
http://arxiv.org/abs/2410.14737
In this paper, we use Clifford algebra $Cl_{2,0}$ to find the 2D orbit of Hydrogen electron under a Coulomb force and a perturbing circularly polarized electric field of light at angular frequency~$\omega$, which is turned on at time $t = 0$ via a un
Externí odkaz:
http://arxiv.org/abs/2410.00056
Autor:
Ferretti, Daniele, Teta, Alessandro
We discuss the problem of constructing self-adjoint and lower bounded Hamiltonians for a system of $n>2$ non-relativistic quantum particles in dimension three with contact (or zero-range or $\delta$) interactions. Such interactions are described by (
Externí odkaz:
http://arxiv.org/abs/2407.06876
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:
Hristov, Ivan, Hristova, Radoslava
Publikováno v:
Astronomy and Computing, Volume 49, 2024
A new efficient approach for searching three-body periodic equal-mass collisionless orbits passing through Eulerian configuration is presented. The approach is based on a symmetry property of the solutions at the half period. Depending on two previou
Externí odkaz:
http://arxiv.org/abs/2404.16526
Autor:
Hsu, Ku-Jung, Liu, Lei
In the past two decades, since the discovery of the figure-8 orbit by Chenciner and Montgomery, the variational method has became one of the most popular tools for constructing new solutions of the $N$-body problem and its extended problems. However,
Externí odkaz:
http://arxiv.org/abs/2404.13572
Autor:
Ferretti, Daniele, Teta, Alessandro
We study the Hamiltonian for a Bose gas in three dimensions of $N \geq 3$ spinless particles interacting via zero-range or contact interactions. Such interactions are described by (singular) boundary conditions satisfied at the coincidence hyperplane
Externí odkaz:
http://arxiv.org/abs/2403.12594
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