Periodic Coulomb Dynamics of Three Identical Negative Charges in the Field of Six Identical Positive Charges Fixed at the Vertices of Octahedron

被引：0

作者：

Skrypnik, Wolodymyr ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, Kiev, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2023年 / 75卷 / 2期

关键词：

D O I：

10.1007/s11253-023-02198-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We find periodic solutions of the Coulomb equations of motion for three identical negative point charges in the field of six identical positive point charges fixed at the vertices of octahedron. System of this kind have equilibrium configurations. To find periodic solutions, we apply the center Lyapunov theorem.

引用

页码：262 / 281

页数：20

共 14 条

[1] Periodic Coulomb Dynamics of Three Identical Negative Charges in the Field of Six Identical Positive Charges Fixed at the Vertices of Octahedron
Wolodymyr Skrypnik
Ukrainian Mathematical Journal, 2023, 75 : 262 - 281
[2] Periodic Coulomb Dynamics of Two Identical Negative Charges in the Field of Six Fixed Identical Positive Charges
W. I. Skrypnik
Ukrainian Mathematical Journal, 2021, 72 : 1944 - 1961
[3] Periodic Coulomb Dynamics of Two Identical Negative Charges in the Field of Six Fixed Identical Positive Charges
Skrypnik, W., I
UKRAINIAN MATHEMATICAL JOURNAL, 2021, 72 (12) : 1944 - 1961
[4] Periodic Coulomb Dynamics of Three Identical Negative Charges in the Field of Four Fixed Identical Positive Charges
Skrypnik, W., I
UKRAINIAN MATHEMATICAL JOURNAL, 2022, 73 (12) : 1967 - 1984
[5] Periodic Coulomb Dynamics of Three Identical Negative Charges in the Field of Four Fixed Identical Positive Charges
W. I. Skrypnik
Ukrainian Mathematical Journal, 2022, 73 : 1967 - 1984
[6] Periodic Coulomb Dynamics of Two Identical Negative Charges in the Field of Four Identical Fixed Positive Charges
W. I. Skrypnik
Ukrainian Mathematical Journal, 2021, 72 : 1650 - 1663
[7] PERIODIC COULOMB DYNAMICS OF TWO IDENTICAL NEGATIVE CHARGES IN THE FIELD OF FOUR IDENTICAL FIXED POSITIVE CHARGES
Skrypnik, W., I
UKRAINIAN MATHEMATICAL JOURNAL, 2021, 72 (10) : 1650 - 1663
[8] Periodic Coulomb Dynamics of Three Equal Negative Charges in the Field of Equal Positive Charges Fixed in Octagon Vertices
Skrypnik, W. I.
ADVANCES IN MATHEMATICAL PHYSICS, 2020, 2020
[9] COULOMB DYNAMICS NEAR EQUILIBRIUM OF TWO EQUAL NEGATIVE CHARGES IN THE FIELD OF TWO FIXED IDENTICAL POSITIVE CHARGES
Skrypnik, W. I.
UKRAINIAN MATHEMATICAL JOURNAL, 2017, 68 (09) : 1466 - 1480
[10] Coulomb Dynamics Near Equilibrium of Two Equal Negative Charges in the Field of Two Fixed Identical Positive Charges
W. I. Skrypnik
Ukrainian Mathematical Journal, 2017, 68 : 1466 - 1480

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