THE 2-BODY PROBLEM UNDER FOCK'S POTENTIAL

被引：2
|
作者：
Mioc, Vasile [1 ]
Perez-Chavela, Ernesto [2 ]
机构：
[1] Romanian Acad, Astron Inst, Str Cutitul Argint 5, RO-75212 Bucharest, Romania
[2] Univ Autonoma Metropolitana Iztapalapa, Dept Matemat, Mexico City 09340, DF, Mexico
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2008年 / 1卷 / 04期
关键词：
Fock's field; homoclinic orbit; singularities; regularization; bifurcations;
D O I：
10.3934/dcdss.2008.1.611
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the two-body problem moving under the Fock's potential, where the global flow is fully described. The analysis is separately performed for negative, zero, and positive energy levels. Many kinds of orbits are found, some of them being of positive Lebesgue measure. We also show some unusual features as the coexistence of fundamentally different orbits for the same energy level and for the same angular momentum.
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页码：611 / 629
页数：19
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