Abstract
The dynamics of rapidly rotating bodies is formulated in a rotationally invariant form in all frames rotating with constant angular velocities relative to each other. This includes the energy, angular momentum, rotational frequency, and moment of inertia. The transformation between these quantities, when expressed in different frames, is then given explicitly and expressed in terms of both the angular momentum and the rotational frequency variables. Comparison with the approximate formula for the Routhian is made, and some consequences of physical interest are drawn.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
B. Banerjee, H. J. Mang, and P. Ring,Nucl. Phys. A 215, 366 (1973).
K. Neergard, V. V. Pashkevich, and S. Frauendorf,Nucl. Phys. A 262, 61 (1976).
R. Bengtsson and S. Frauendorf, inProceedings of the International Symposium on High-Spin States and Nuclear Structure (Dresden, September 1977), p. 76.
A. Bohr and B. Mottelson,J. Phys. Soc. Jpn. (Supp. 44, 157 (1978).
R. Bengtsson and S. Frauendorf,Nucl. Phys. A 327, 139 (1979).
G. B. Vingiani,Nuovo Cim. Lett. 32, 493 (1981).
A. Einstein,Autobiographical Notes, translated and edited by P. A. Schilpp (Open Court Publishing Company, La Salle and Chicago, 1979).
M. Carmeli,Nuovo Cimento Lett. 37, 205 (1983).
J. J. Routh, inThe Advanced Part of a Treatisen on the Dynamics of a System of Rigid Bodies, 6th edn. (Macmillian, London, 1905).
S. M. Harris,Phys. Rev. 138, B509 (1965).
R. A. Sorensen,Rev. Mod. Phys. 45, 353 (1973).
F. S. Stephens,Rev. Mod. Phys. 47, 43 (1975).
R. M. Lieder and H. Ryde, inAdvances in Nuclear Physics, E. Vogt and M. Baranger, eds., Vol. 10 (Plenum Press, New York, 1978).
L. I. Schiff,Quantum Mechanics (McGraw-Hill, New York, 1955).
A. de-Shalit and I. Talmi,Nuclear Shell Theory (Academic Press, New York, 1963).
M. Carmeli, Ch. Charach, and A. Feinstein,Phys. Lett. A 96, 1 (1983).
M. Carmeli, Ch. Charach, and A. Feinstein,Ann. Phys. (N.Y.) 150, 392 (1983).
I. Ozsváth and E. L. Schücking,Ann. Phys. (N.Y.) 55, 166 (1969).
M. P. Ryan, Jr., and L. C. Shepley,Homogeneous Relativistic Cosmologies (Princeton University Press, Princeton, New Jersey, 1975).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Carmeli, M. The dynamics of rapidly rotating bodies. Found Phys 15, 889–904 (1985). https://doi.org/10.1007/BF00738321
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00738321