Center of Mass Theorem and the Separation of Variables for Two-Body System on a Three-Dimensional Sphere

被引：0

作者：

Kurochkin, Yu ^{[1
]}

Shoukavy, Dz ^{[1
]}

Boyarina, I ^{[2
]}

机构：

[1] Natl Acad Sci Belarus, Inst Phys, 68-2 Nezalezhnasci Ave, Minsk 220072, BELARUS

[2] Belarusian State Agr Tech Univ, 99 Nezalezhnasci Ave, Minsk 220023, BELARUS

来源：

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS | 2020年 / 23卷 / 03期

关键词：

two particle problem; biquaternion; spaces of constant curvature;

D O I：

10.33581/1561-4085-2020-23-3-306-311

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The immobility of the center of mass in spaces of constant curvature is postulated based on its definition obtained in [1]. The system of two particles which interact through a potential depending only on the distance between particles on a three-dimensional sphere is considered. The Hamilton-Jacobi equation is formulated and its solutions and trajectory equations are found. It was established that the reduced mass of the system depends on the relative distance.

引用

页码：306 / 311

页数：6

共 50 条

[1] Three-dimensional Two-Body Tether System - Equilibrium Solutions
Souza dos Santos, Denilson Paulo
Ferreira, Alessandra
XVII BRAZILIAN COLLOQUIUM ON ORBITAL DYNAMICS, CBDO 2014, 2015, 641
[2] Contraction of Lie algebra and separation of variables on three-dimensional sphere
Izmest'ev, AA
Pogosyan, GS
GROUP 21 - PHYSICAL APPLICATIONS AND MATHEMATICAL ASPECTS OF GEOMETRY, GROUPS, AND ALGEBRA, VOLS 1 AND 2, 1997, : 137 - 145
[3] Perception of two-body center of mass
Jay Friedenberg
Bruce Liby
Perception & Psychophysics, 2002, 64 : 531 - 539
[4] Perception of two-body center of mass
Friedenberg, J
Liby, B
PERCEPTION & PSYCHOPHYSICS, 2002, 64 (04): : 531 - 539
[5] REGULAR EQUATIONS OF THE THREE-DIMENSIONAL TWO-BODY PROBLEM.
Chelnokov, Yu.N.
Mechanics of solids, 1984, 19 (01) : 145 - 152
[6] Lie-algebra contractions and separation of variables. Three-dimensional sphere
G. S. Pogosyan
A. Yakhno
Physics of Atomic Nuclei, 2009, 72 : 836 - 844
[7] Lie-algebra contractions and separation of variables. Three-dimensional sphere
Pogosyan, G. S.
Yakhno, A.
PHYSICS OF ATOMIC NUCLEI, 2009, 72 (05) : 836 - 844
[8] A three-dimensional model with two-body interactions for endothelial cells in angiogenesis
Sakai, Kazuma
Hayashi, Tatsuya
Sakai, Yusuke
Mada, Jun
Tonami, Kazuo
Uchijima, Yasunobu
Kurihara, Hiroki
Tokihiro, Tetsuji
SCIENTIFIC REPORTS, 2023, 13 (01):
[9] A three-dimensional model with two-body interactions for endothelial cells in angiogenesis
Kazuma Sakai
Tatsuya Hayashi
Yusuke Sakai
Jun Mada
Kazuo Tonami
Yasunobu Uchijima
Hiroki Kurihara
Tetsuji Tokihiro
Scientific Reports, 13 (1)
[10] The Three-Dimensional Body Center of Mass at the Workplace under Hypogravity
Maillard, Tatiana
BIOENGINEERING-BASEL, 2023, 10 (10):

← 1 2 3 4 5 →