Motion of rigid bodies in a set of redundant variables |
| |
| Authors: | Rafael Cid María-Eugenia San Saturio |
| |
| Institution: | (1) Departmento de Física Teórica, Universidad de Zaragoza, 50009 Zaragoza, Spain;(2) Departamento de Matemática Aplicada a la Técnica. ETSII, Universidad de Valladolid, 47011 Valladolid, Spain |
| |
| Abstract: | In this article we study the conditions for obtaining canonical transformationsy=f(x) of the phase space, wherey (y
1,y
2,...,y
2n
) andx(x
1,x
2,...,x
2m
) in such a way that the number of variables is increased. In particular, this study is applied to the rotational motion in functions of the Eulerian parameters (q
0,q
1,q
2,q
3) and their conjugate momenta (Q
0,Q
1,Q
2,Q
3) or in functions of complex variables (z
1,z
2,z
3,z
4) and their conjugate momenta (Z
1,Z
2,Z
3,Z
4) defined by means of the previous variables. Finally, our article include some properties on the rotational motion of a rigid body moving about a fixed point. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
