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The Mathisson-Papapetrou-Dixon (MPD) equations describe the motion of an extended test body in general relativity.
Neue mechanik materieller systemes
Myron Mathisson · 1937
Earlier work this paper cites.
The Mass-Centre in the Restricted Theory of Relativity and Its Connexion with the Quantum Theory of Elementary Particles
M. H. L. Pryce · 1948
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Localized States for Elementary Systems
T. D. Newton and E. P. Wigner · 1949
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Spinning Test-Particles in General Relativity. I
A. Papapetrou · 1951
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Spinning Test-Particles in General Relativity. II
E. Corinaldesi and A. Papapetrou · 1951
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On the Physical significance of the Riemann tensor
F. A. E. Pirani · 1956
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Motion of multipole particles in general relativity theory
W. Tulczyjew · 1959
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A covariant multipole formalism for extended test bodies in general relativity
W. G. Dixon · 1964
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Dynamics of Extended Bodies in General Relativity. I. Momentum and Angular Momentum
W. G. Dixon · 1970
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Canonical Dynamics of Spinning Particles in Gravitational and Electromagnetic Fields
H. P. Künzle · 1972
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Black Holes and Spinning Test Bodies
S. N. Rasband · 1973
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Dynamics of Extended Bodies in General Relativity. III. Equations of Motion
W. G. Dixon · 1974
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Spinning test particles in the field of a black hole
K. P. Tod, F. de Felice, and M. Calvani · 1976
Cited alongside, same era.
Gravitational waves induced by a spinning particle falling into a rotating black hole
Yasushi Mino, Masaru Shibata, and Takahiro Tanaka · 1996
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Gravitational waves from a spinning particle in circular orbits around a rotating black hole
Takahiro Tanaka, Yasushi Mino, Misao Sasaki, and Masaru Shibata · 1996
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Innermost stable circular orbit of a spinning particle in Kerr space-time
Shingo Suzuki and Kei-ichi Maeda · 1998
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Spinning test particles in a Kerr field - I
O. Semerák · 1999
Influence of internal structure on the motion of test bodies in extreme mass ratio situations
Jan Steinhoff and Dirk Puetzfeld · 2012
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Motion of spinning test bodies in Kerr spacetime
Eva Hackmann, Claus Lämmerzahl, Yuri N. Obukhov, Dirk Puetzfeld, and Isabell Schaffer · 2014
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Spinning particles in vacuum spacetimes of different curvature types
O. Semerák and M. Šrámek · 2015
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Spinning test body orbiting around a Schwarzschild black hole: Circular dynamics and gravitational-wave fluxes
Enno Harms, Georgios Lukes-Gerakopoulos, Sebastiano Bernuzzi, and Alessandro Nagar · 2016
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Time parameterizations and spin supplementary conditions of the Mathisson-Papapetrou-Dixon equations
Georgios Lukes-Gerakopoulos · 2017
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Multipole particle in relativity
Akira Ohashi · 2003
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A Survey of spinning test particle orbits in Kerr space-time
Michael D. Hartl · 2003
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Spinning test particles in a Kerr field - II
K. Kyrian and O. Semerák · 2007
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Chaos and dynamics of spinning particles in Kerr spacetime
Wen-Biao Han · 2008
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Mathisson’s helical motions for a spinning particle: Are they unphysical?
L. Filipe Costa, Carlos Herdeiro, José Natário, and Miguel Zilhão · 2012
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Spinning particles in general relativity: Momentum-velocity relation for the Mathisson-Pirani spin condition
L. Filipe O. Costa, Georgios Lukes-Gerakopoulos, and Oldřich Semerák · 2018
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Nonequatorial circular orbits of spinning particles in the Schwarzschild-de Sitter background
Roman Plyatsko, Volodymyr Panat, and Mykola Fenyk · 2018
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Hamiltonians and canonical coordinates for spinning particles in curved space-time
Vojtěch Witzany, Jan Steinhoff, and Georgios Lukes-Gerakopoulos · 2019
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Dissipation in extreme mass-ratio binaries with a spinning secondary
Sarp Akcay, Sam R. Dolan, Chris Kavanagh, Jordan Moxon, Niels Warburton, and Barry Wardell · 2020
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Aschenbach effect for spinning particles in Kerr spacetime
Jafar Khodagholizadeh, Volker Perlick, and Ali Vahedi · 2020
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