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Kinematic and Dynamic Reference Frames

Published online by Cambridge University Press:  12 April 2016

E. M. Gaposchkin
E. M. Gaposchkin*
Affiliation:
Smithsonian Astrophysical Observatory Cambridge, Massachusetts

Abstract

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The fundamental properties of kinematic and dynamic reference frames are defined, first as an abstract concept and second in a practical (although idealized) thought experiment. A four dimensional spacetime description in coordinate free notation illustrates the properties, limitations, and relationships between kinematic and dynamic reference frames. Kinematic reference frames can be defined quite rigorously. Dynamic reference frames cannot be defined so well, but are nonetheless very useful. In practice a combination has been generally adopted. Presently we can materialize purely kinematic terrestrial and celestial reference frames.

Type
Research Article
Information
International Astronomical Union Colloquium , Volume 56: Reference Coordinate Systems for Earth Dynamics , August 1980 , pp. 59 - 70
Copyright
Copyright © Reidel 1981

References

Balmino, G. 1974. Celestial Mechanics 10, 4: 423–436.Google Scholar
Bender, P. 1981. Establishment of Terrestrial References frames by New Observation Techniques. This volume.Google Scholar
Brumberg, V. A. 1981. Relativistic Reduction of Astronomical Measurements and Reference Frames. This volume.Google Scholar
Eddington, A. S. 1924. The Mathematical Theory of Relativity. London: Cambridge University Press.Google Scholar
Eddington, A. S. 1946, Fundamental Theory. London: Cambridge University Press.Google Scholar
Eddington, A. S., and Clark, G. 1938. Proc. Roy. Soc. A 166, 465–475.Google Scholar
Fricke, W. 1981. Definition and Practical Realization of the Reference Frame FK5 - The Role of Planetary Dynamics and Stellar Kinematics in the Definition. This volume.Google Scholar
Gaposchkin, E. M., and Wright, J. P. 1969. Nature 221: 650.Google Scholar
Gaposchkin, E. M. 1981. Celestial Mechanics 10, 4.Google Scholar
Goad, C. 1981. Positioning with the Global Positioning System. This volume.Google Scholar
Hagihara, Y. 1930–31. Japanese. Journ. Astron. Geophys. Trans. 8, 3: 67–176.Google Scholar
Kovalevsky, J. 1981. Celestial Reference Frame. This volume.Google Scholar
Kozai, Y., and Kinoshita, H. 1973. Celestial Mechanics 7: 356–366.Google Scholar
Kozai, Y. 1981. Motions of Artificial Satellites and Coordinate Systems. This volume.Google Scholar
Latimer, J. H., and Gaposchkin, E. M. 1977. Center for Astrophysics Preprint Series 750.Google Scholar
Misner, C. W.; Thorne, K.; and Wheeler, J. A. 1973. Gravitation. San Francisco: W. H. Freeman Co.Google Scholar
Moritz, H. 1979. Ohio State University, Department of Geodetic Science Report 294. Columbus: Ohio State University Press.Google Scholar
Moritz, H. 1981. Relativistic Effects in Reference Frames. This volume.Google Scholar
Mueller, I. I. 1981. Reference Coordinate Systems for Earth Dynamics: A Preview. This volume.Google Scholar
Ohanian, H. C. 1976. Gravitation and Spacetime. New York: W. W. Norton & Co.Google Scholar
Robertson, D. 1981. The Use of VLBI in Establishing Reference Coordinate Systems for Geodynamics. This volume.Google Scholar
Vessot, R., and Levine, M. 1979. General Relativity and Gravitation 10, 3: 181–204.Google Scholar
Wesson, P. S. 1980. Physics Today 33, 7: 32–37.Google Scholar
Will, C. M. 1979. “The Confrontation Between Gravitation Theory and Experiment.” General Relativity. Hawking, S. W. and Israel, W. editors. London: Cambridge Univ. Press.Google Scholar