Stabilization of chaotic behavior in the restricted three-body problem

被引：0

作者：

Dzhanoev, A. ^{[1
]}

Loskutov, A. ^{[2
]}

机构：

[1] Univ Rey Juan Carlos, Dept Fis, Madrid 28933, Spain

[2] Moscow MV Lomonosov State Univ, Moscow 119992, Russia

来源：

APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS '33 | 2007年 / 946卷

关键词：

restricted three-body problem; Sitnikov problem; chaos; separatrix splitting; stabilized orbits;

D O I：

暂无

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

A new type of orbit in the restricted three-body problem is constructed. It is analytically shown that along with the well known chaotic and regular orbits in the three-body problem there also exists a qualitatively different type of orbit which we call "stabilized." The stabilized orbits are a result of additional orbiting bodies that are placed in the triangular Lagrange points. The results are well confirmed by numerical orbit calculations.

引用

页码：99 / +

页数：2

共 18 条

[1]

Alekseev V. V., 1985, Moscow University Physics Bulletin, V40, P46

[2]

Alexeev V. M., 1969, MATH USSR SB, V7, P1

[3]

ALEXEEV VM, 1969, MATH USSR SB, V6, P505

[4]

ALEXEEV VM, 1969, MATH USSR SB, V5, P73