RELATIVISTIC DYNAMIC EQUATION AND VARIATIONAL PRINCIPLE FOR ROTATIONAL VARIABLE MASS SYSTEM

FANG JIAN-HUI

doi:10.7498/aps.49.1028

Abstract
In this paper, Simultaneously considering the problem of classical variable mass and the relativistic effect of mass variation with velocity, the fundamental relativistic equation of dynamics, Dalembert principle and Lagrange equation for fixed-axis rotational variable mass system are built.
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FANG JIAN-HUI

1.
石油大学应用物理系，山东东营 257062
References

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[2]	Hou Dong-Xiao, Liu Bin, Shi Pei-Ming. The bifurcation of a kind of relative rotational dynamic equation with hysteresis and its approximate solution. Acta Physica Sinica, 2009, 58(9): 5942-5949. doi: 10.7498/aps.58.5942
[3]	Xia Li-Li, Li Yuan-Cheng, Wang Xian-Jun. Non-Noether conserved quantities for nonholonomic controllable mechanical systems with relativistic rotational variable mass. Acta Physica Sinica, 2009, 58(1): 28-33. doi: 10.7498/aps.58.28
[4]	Xia Li-Li, Li Yuan-Cheng. Non-Noether conserved quantity for relativistic nonholonomic controllable mechanical system with variable mass. Acta Physica Sinica, 2008, 57(8): 4652-4656. doi: 10.7498/aps.57.4652
[5]	Meng Zong, Liu Bin. Stability of relativistic rotational nonlinear dynamic equation and solution for a kind of nonlinear elastic coefficients. Acta Physica Sinica, 2007, 56(11): 6194-6198. doi: 10.7498/aps.56.6194
[6]	Zhang Xiang-Wu. The universal forms of the dynamic equations of holonomic mechanical system in relative motion. Acta Physica Sinica, 2006, 55(6): 2669-2675. doi: 10.7498/aps.55.2669
[7]	Wang Kun. Steadiness of relatively rotation dynamics equation and it’s solution for a kind stickiness flexibility coefficient. Acta Physica Sinica, 2005, 54(9): 3987-3991. doi: 10.7498/aps.54.3987
[8]	Dong Quan-Lin, Wang Kun, Zhang Chun-Xi, Liu Bin. An integral solution for the relative-rotation dynamic equation of a cylinder. Acta Physica Sinica, 2004, 53(2): 337-342. doi: 10.7498/aps.53.337
[9]	Jia Li-Qun. A theory of relativistic analytical statics of rotational systems. Acta Physica Sinica, 2003, 52(5): 1039-1043. doi: 10.7498/aps.52.1039
[10]	Luo Shao-Kai. . Acta Physica Sinica, 2002, 51(4): 712-717. doi: 10.7498/aps.51.712
[11]	QIAO YONG-FEN, ZHAO SHU-HONG. EQUATIONS OF MOTION OF VARIABLE MASS NONHOLONOMIC DYNAMICAL SYSTEMS IN POINCARé-CHETAEV VARIABLES. Acta Physica Sinica, 2001, 50(5): 805-810. doi: 10.7498/aps.50.805
[12]	QIAO YONG-FEN, LI REN-JIE, MENG JUN. LINDEL?F'S EQUATIONS OF NONHOLONOMIC ROTATIONAL RELATIVISTIC SYSTEMS. Acta Physica Sinica, 2001, 50(9): 1637-1642. doi: 10.7498/aps.50.1637
[13]	FU JING-LI, CHEN LI-QUN, LUO SHAO-KAI, CHEN XIANG-WEI, WANG XIN-MIN. STUDY ON DYNAMICS OF RELATIVISTIC BIRKHOFF SYSTEMS. Acta Physica Sinica, 2001, 50(12): 2289-2295. doi: 10.7498/aps.50.2289
[14]	LUO SHAO-KAI, GUO YONG-XIN, CHEN XIANG-WEI. INTEGRATION THEORY OF THE DYNAMICS OF A ROTATIONAL RELATIVISTIC SYSTEM. Acta Physica Sinica, 2001, 50(11): 2053-2058. doi: 10.7498/aps.50.2053
[15]	LUO SHAO-KAI, GUO YONG-XIN, CHEN XIANG-WEI, FU JING-LI. A FIELD METHOD FOR SOLVING THE EQUATIONS OF MOTION OF A ROTATIONAL REALTIVISTIC BIRKHOFFIAN SYSTEM. Acta Physica Sinica, 2001, 50(11): 2049-2052. doi: 10.7498/aps.50.2049
[16]	LUO SHAO-KAI, FU JING-LI, CHEN XIANG-WEI. BASIC THEORY OF RELATIVISTIC BIRKHOFFIAN DYNAMICS OF ROTATIONAL SYSTEM. Acta Physica Sinica, 2001, 50(3): 383-389. doi: 10.7498/aps.50.383
[17]	FANG JIAN-HUI. CONSERVATION LAWS OF RELATIVISTIC VARIABLE MASS SYSTEMS. Acta Physica Sinica, 2001, 50(6): 1001-1005. doi: 10.7498/aps.50.1001
[18]	FANG JIAN-HUI, ZHAO SONG-QING. LIE SYMMETRIES AND CONSERED QUANTITIES OF RELATIVISTIC ROTATIONAL VARIABLE MASS SYSTEM. Acta Physica Sinica, 2001, 50(3): 390-393. doi: 10.7498/aps.50.390
[19]	FANG JIAN-HUI. RELATIVISTIC FOUR-COVARIANT EQUATION OF VARIABLE-MASS BODY. Acta Physica Sinica, 1999, 48(8): 1389-1393. doi: 10.7498/aps.48.1389
[20]	ZHU SI-CHANG. GRAVITATIONAL MASS DEFECT AND ROTATIONAL MASS EFFECT FOR A ROTARY SOLID SPHERE IN GENERAL THEORY OF RELATIVITY. Acta Physica Sinica, 1979, 28(6): 894-900. doi: 10.7498/aps.28.894

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Vol. 49, Issue 6 - 2000-03-20

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RELATIVISTIC DYNAMIC EQUATION AND VARIATIONAL PRINCIPLE FOR ROTATIONAL VARIABLE MASS SYSTEM

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RELATIVISTIC DYNAMIC EQUATION AND VARIATIONAL PRINCIPLE FOR ROTATIONAL VARIABLE MASS SYSTEM

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