Schubart Solutions in the Charged Collinear Three-Body Problem

Castro Ortega Alberto; Falconi Manuel

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Schubart Solutions in the Charged Collinear Three-Body Problem

机译：带电共线三体问题的Schubart解

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In this paper, we study the existence of Schubart-like periodic solutions in a charged collinear three-body problem by applying the notion of turning points and some continuity arguments. We proved the existence of Schubart solutions for the case where the outer particles repel each other.

机译：在本文中，我们通过应用转折点和一些连续性参数的概念，研究了带电共线三体问题中类似Schubart周期解的存在性。对于外部粒子相互排斥的情况，我们证明了Schubart解决方案的存在。

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来源
《Journal of dynamics and differential equations》 |2016年第2期|519-532|共14页
作者
Castro Ortega Alberto; Falconi Manuel;
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作者单位

Univ Nacl Autonoma Mexico, Fac Ciencias, Dept Matemat, C Univ, Mexico City 04510, DF, Mexico;

Univ Nacl Autonoma Mexico, Fac Ciencias, Dept Matemat, C Univ, Mexico City 04510, DF, Mexico;

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正文语种 eng
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关键词
Charged three-body problem; Turning point; Schubart periodic solution;

机译：带电三体问题;转折点;舒巴特周期解;

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1. Symmetric Periodic Orbits and Schubart Orbits in The Charged Collinear Three-Body Problem [J] . Alberto Castro Ortega, Manuel Falconi, Ernesto A. Lacomba Qualitative theory of dynamical systems . 2014,第2期

机译：带电共线三体问题的对称周期轨道和Schubart轨道
2. Non-Hyperbolic Equilibria in the Charged Collinear Three-Body Problem [J] . Alberto Castro Ortega, Ernesto A. Lacomba Journal of dynamics and differential equations . 2012,第1期

机译：带电共线三体问题的非双曲平衡
3. PERIODIC ORBITS NEAR A HETEROCLINIC LOOP FORMED BY ONE-DIMENSIONAL ORBIT AND A TWO-DIMENSIONAL MANIFOLD: APPLICATION TO THE CHARGED COLLINEAR THREE-BODY PROBLEM [J] . JAUME LLIBRE, DANIEL PASCA International journal of bifurcation and chaos in applied sciences and engineering . 2007,第6期

机译：由一维轨道和二维流形组成的异源环附近的周期轨道：应用于带电荷的Collinear三体问题
4. Collinear Lagrange Point Solutions in the Circular Restricted Three-Body Problem with Radiation Pressure using Fortran [C] . T.N. St enborg Conference on Astronomical Data Analysis Software and Systems . 2008

机译：使用FORTRAN的循环限制三体问题在圆形限制的三体问题中的共线拉格朗日点解决方案
5. Off-line production of singly-charged, transition-metal beams and subsequent collinear laser spectroscopy of neutral, stable Manganese-55 and Iron-56. [D] . Klose, Andrew Mark. 2013

机译：离线生产单电荷过渡金属束，以及随后的中性，稳定的锰55和铁56的共线激光光谱。
6. Self-Consistent Mean Field Calculations of Polyelectrolyte-Surfactant Mixtures in Solution and upon Adsorption onto Negatively Charged Surfaces [O] . Eduardo Guzmán, Laura Fernández-Peña, Gustavo S. Luengo, 2020

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7. A TOPOLOGICAL EXISTENCE PROOF FOR THE SCHUBART ORBITS IN THE COLLINEAR THREE-BODY PROBLEM [O] . Richard Moeckel 2008

机译：Collinear三体问题中Schubart轨道的拓扑存在性证明。

Schubart Solutions in the Charged Collinear Three-Body Problem

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