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In this contribution we assess the current experimental status of Special and General Relativity.
On Movement of Finite Masses in the General Theory of Relativity [in Russian]
V. A. Fock · 1939
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Three Lectures on Relativity Theory
V. A. Fock · 1957
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The Theory of Space, Time and Gravitation
V. A. Fock · 1959
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Gravitational red-shift in nuclear resonance
R. V. Pound and G. A. Rebka · 1959
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Relativity: the General Theory
J. L. Singe · 1960
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Apparent Weight of Photons
Robert V. Pound and Jr. Rebka, Glen A · 1960
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Upper Limit for the Anisotropy of Inertial Mass from Nuclear Re sonance Experiments
V.W. Hughes, H.G. Robinson, and V. Beltran-Lopez · 1960
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Mach’s principle and a relativistic theory of gravitation
C. Brans and R.H. Dicke · 1961
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A search for anisotropy of inertial mass using a free precession technique
R.W.P. Drever · 1961
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The Equivalence of inertial and passive gravitational mass
P.G. Roll, R. Krotkov, and R.H. Dicke · 1964
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The Post-Newtonian Equations of Hydrodynamics in General Relativity
S. Chandrasekhar · 1965
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Is the Graviton a Goldstone Boson?
Peter R. Phillips · 1966
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End to the Cosmic-Ray Spectrum?
K. Greisen · 1966
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Upper limit of the spectrum of cosmic rays
G.T. Zatsepin and V.A. Kuzmin · 1966
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Testing relativity with laser ranging to the moon
K. Nordtvedt · 1968
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Equivalence Principle for Massive Bodies. 1. Phenomenology
K. Nordtvedt · 1968
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Equivalence Principle for Massive Bodies. 2. Theory
K. Nordtvedt · 1968
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Solar system eotvos experiments
K. Nordtvedt · 1970
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Theoretical Frameworks for Testing Relativistic Gravity. III. Conservation Laws, Lorentz Invariance, and Values of the PPN Parameters
Clifford M Will · 1971
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Conservation Laws and Preferred Frames in Relativistic Gravity. I. Preferred-Frame Theories and an Extended PPN Formalism
C. M. Will and K. Nordtvedt · 1972
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Verification of the Equivalence of Inertial and Gravitational Mass
V. B. Braginsky and V. I. Panov · 1972
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Hot universe, cosmic rays of ultrahigh energy and absolute reference system
H. Sato and T. Tati · 1972
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Restricted Proof that the Weak Equivalence Principle Implies the Einstein Equivalence Principle
Alan P. Lightman and David L. Lee · 1973
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Mariner 9 Celestial Mechanics Experiment: A Status Report
Jack Lorell and Irwin I. Shapiro · 1973
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Observation of gravitationally induced quantum interference
R. Colella, A. W. Overhauser, and S. A. Werner · 1975
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Verification of the Principle of Equivalence for Massive Bodies
Irwin I. Shapiro, Charles C. Counselman, and Robert W. King · 1976
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A test theory of special relativity: I. simultaneity and clock synchronization
Reza Mansouri and Roman Sexl · 1977
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Quantum effects occurring when ultracold neutrons are stored on a plane
V. I. Luschikov and A. I. Frank · 1978
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Beta Function in a Noncovariant Yang-Mills Theory
Holger Bech Nielsen and M. Ninomiya · 1978
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Viking relativity experiment: Verification of signal retardation by solar gravity
R.D. Reasenberg, I.I. Shapiro, P.E. MacNeil, R.B. Goldstein, J.C. Breidenthal, et al · 1979
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Improved Laser Test of the Isotropy of Space
A. Brillet and J.L. Hall · 1979
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Test of relativistic gravitation with a space-borne hydrogen maser
R. F. C. Vessot, M. W. Levine, E. M. Mattison, E. L. Blomberg, T. E. Hoffman, G. U. Nystrom, B. F. Farrel, R. Decher, P. B. Eby, C. R. Baugher, J. W. Watts, D. L. Teuber, and F. D. Wills · 1980
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Transformation from proper time on Earth to coordinate time in solar system barycentric space-time frame of reference
T. D. Moyer · 1981
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Transformation from Proper Time on Earth to Coordinate Time in Solar System Barycentric Space-Time Frame of Reference - Part Two
T. D. Moyer · 1981
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The influence of partial ionization and scattering states on the solar interior structure
R. K. Ulrich · 1982
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New limits on spatial anisotropy from optically pumped He-201 and Hg-199
S.K. Lamoreaux, J.P. Jacobs, Blayne R. Heckel, Frederick J. Raab, and E.N. Fortson · 1986
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The principle of equivalence and the Trojan asteroids
R. B. Orellana and H. Vucetich · 1988
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Spontaneous Breaking of Lorentz Symmetry in String Theory
V. Alan Kostelecký and Stuart Samuel · 1989
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Phenomenological Gravitational Constraints on Strings and Higher Dimensional Theories
V. Alan Kostelecký and Stuart Samuel · 1989
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Spacetime and Electromagnetism: An Essay on the Philosophy of the Special Theory of Relativity
J. R. Lucas and P. E. Hodgson · 1990
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New measurement of solar gravitational deflection of radio signals using vlbi
D. S. Robertson, W. E. Carter, and W. H. Dillinger · 1991
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Lunar laser ranging reexamined: The non-null relativistic contribution
K. Nordtvedt · 1991
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Essential Relativistic Celestial Mechanics
Victor Brumberg · 1991
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General-relativistic celestial mechanics. i. method and definition of reference systems
Thibault Damour, Michael Soffel, and Chongming Xu · 1991
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The Arguments against ’antigravity’ and the gravitational acceleration of antimatter
M.M. Nieto and J. Terrance Goldman · 1991
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Lunar laser ranging reexamined: The non-null relativistic contribution
K. Nordtvedt · 1991
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New tests of the strong equivalence principle using binary-pulsar data
Thibault Damour and Gerhard Schäfer · 1991
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The Cosmic ray energy spectrum above 4x10**17-eV as measured by the Haverah Park array
M.A. Lawrence, R.J.O. Reid, and A.A. Watson · 1991
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In F. Takahara N. Nagano, editor, ICRR Symposium on Astrophysical Aspects of the Most Energetic Cosmic Rays
N. N. Efimov et al · 1991
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Strong field tests of relativistic gravity and binary pulsars
Thibault Damour and Joseph H. Taylor · 1992
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Orbital ephemerides of the Sun, Moon, and planets
E. M. Standish, X. X. Newhall, J. G. Williams, and D. K. Yeomans · 1992
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Measurement of the gravitational acceleration of an atom with a light-pulse atom interferometer
M. Kasevich and S. Chu · 1992
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Theory and Experiment in Gravitational Physics
Clifford M. Will · 1993
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Experimental Constraints on Strong Field Relativistic Gravity
J.N. Taylor, A. Wolszczan, and T. Damour · 1993
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General relativistic celestial mechanics. 3. Rotational equations of motion
Thibault Damour, Michael Soffel, and Chong-ming Xu · 1993
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Tensor - scalar cosmological models and their relaxation toward general relativity
T. Damour and K. Nordtvedt · 1993
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The Nordtvedt Effect in the Trojan Asteroids
R. B. Orellana and H. Vucetich · 1993
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Evidence for correlated changes in the spectrum and composition of cosmic rays at extremely high-energies
D.J. Bird et al · 1993
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Limit to space-time measurement
Y Jack Ng and H van Dam · 1994
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General relativistic celestial mechanics. 4: Theory of satellite motion
Thibault Damour, Michael Soffel, and Chong-ming Xu · 1994
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String theory and gravity
T. Damour and Alexander M. Polyakov · 1994
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The String dilaton and a least coupling principle
T. Damour and Alexander M. Polyakov · 1994
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New tests of the universality of free fall
Y. Su, Blayne R. Heckel, E.G. Adelberger, J.H. Gundlach, M. Harris, et al · 1994
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Observation of a very energetic cosmic ray well beyond the predicted 2.7-K cutoff in the primary energy spectrum
N. Hayashida, K. Honda, M. Honda, S. Imaizumi, N. Inoue, et al · 1994
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The Cosmic ray energy spectrum observed by the Fly’s Eye
D.J. Bird et al · 1994
Cited alongside, same era.
Measurement of the solar gravitational deflection of radio waves using very-long-baseline interferometry
D. E. Lebach, B. E. Corey, I. I. Shapiro, M. I. Ratner, J. C. Webber, A. E. E. Rogers, J. L. Davis, and T. A. Herring · 1995
Cited alongside, same era.
Gravitational radiation damping of compact binary systems to second postNewtonian order
Luc Blanchet, Thibault Damour, Bala R. Iyer, Clifford M. Will, and Alan.G. Wiseman · 1995
Cited alongside, same era.
Conservation laws for systems of extended bodies in the first postNewtonian approximation
Thibault Damour and David Vokrouhlicky · 1995
Cited alongside, same era.
CPT, strings, and meson factories
V. Alan Kostelecký and Robertus Potting · 1995
Cited alongside, same era.
Tests of direct and indirect CPT violation at a B factory
Quantum states of neutrons in the Earth’s gravitational field
V.V. Nesvizhevsky, H.G. Borner, A.K. Petukhov, H. Abele, S. Baessler, et al · 2002
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Ultrahigh-energy cosmic rays and symmetries of space-time
O. Bertolami · 2002
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Study of the anomalous acceleration of Pioneer 10 and 11
John D. Anderson, Philip A. Laing, Eunice L. Lau, Anthony S. Liu, Michael Martin Nieto, et al · 2002
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Independent confirmation of the Pioneer 10 anomalous acceleration
Craig B. Markwardt · 2002
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Ultraviolet Modifications of Dispersion Relations in Effective Field Theory
Robert C Myers and Maxim Pospelov · 2003
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Lunar laser ranging: A Comprehensive probe of postNewtonian gravity
K. Nordtvedt · 2003
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Don Colladay and V. Alan Kostelecký · 1995
Cited alongside, same era.
Testing CPT with the neutral D system
Don Colladay and V. Alan Kostelecký · 1995
Cited alongside, same era.
Tests of CPT symmetry and quantum mechanics with experimental data from CPLEAR
R. Adler et al · 1995
Cited alongside, same era.
Detection of a cosmic ray with measured energy well beyond the expected spectral cutoff due to cosmic microwave radiation
D.J. Bird, S.C. Corbato, H.Y. Dai, J.W. Elbert, K.D. Green, et al · 1995
Cited alongside, same era.
Relativity parameters determined from lunar laser ranging
J. G. Williams, X. X. Newhall, and J. O. Dickey · 1996
Cited alongside, same era.
Testing gravity to second postNewtonian order: A Field theory approach
Thibault Damour and Gilles Esposito-Farese · 1996
Cited alongside, same era.
Tensor - scalar gravity and binary pulsar experiments
Thibault Damour and Gilles Esposito-Farese · 1996
Cited alongside, same era.
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A test of general relativity using radio links with the Cassini spacecraft
B. Bertotti, L. Iess, and P. Tortora · 2003
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Noncommutative scalar field coupled to gravity
O. Bertolami and L. Guisado · 2003
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Noncommutative field theory and violation of translation invariance
O. Bertolami and L. Guisado · 2003
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Phenomenology of Lorentz conserving noncommutative QED
Justin M. Conroy, Herry J. Kwee, and Vahagn Nazaryan · 2003
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The UV / IR interplay in theories with space-time varying noncommutativity
Daniel Robbins and Savdeep Sethi · 2003
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Spacetime - varying couplings and Lorentz violation
V. Alan Kostelecký, Ralf Lehnert, and Malcolm J. Perry · 2003
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Threshold effects and Lorentz symmetry
Orfeu Bertolami · 2003
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Conventional forces can explain the anomalous acceleration of Pioneer 10
Louis K. Scheffer · 2003
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Relativity in the Global Positioning System
Neil Ashby · 2003
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Quantum gravity phenomenology, Lorentz invariance and discreteness
Fay Dowker, Joe Henson, and Rafael D. Sorkin · 2004
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Gravity, Lorentz violation, and the standard model
V. Alan Kostelecký · 2004
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Lorentz Invariance and Quantum Gravity: An Additional Fine-Tuning Problem?
John Collins, Alejandro Perez, Daniel Sudarsky, Luis Urrutia, and Héctor Vucetich · 2004
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Measurement of the Solar Gravitational Deflection of Radio Waves using Geodetic Very-Long-Baseline Interferometry Data, 1979-1999
S.S. Shapiro, J.L. Davis, D.E. Lebach, and J.S. Gregory · 2004
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Progress in lunar laser ranging tests of relativistic gravity
J. G. Williams, Slava G. Turyshev, and Dale H. Boggs · 2004
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Parameterized post-Newtonian theory of reference frames, multipolar expansions and equations of motion in the N-body problem
Sergei Kopeikin and Igor Vlasov · 2004
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35 years of testing relativistic gravity: Where do we go from here?
S. G. Turyshev, J. G. Williams, K. Nordtvedt, M. Shao, and T. W. Murphy · 2004
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New limits on the strong equivalence principle from two long - period circular - orbit binary pulsars
Dune R. Lorimer and Paulo Cesar Carvalho Freire · 2004
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Gravity, Lorentz violation, and the standard model
V. Alan Kostelecký · 2004
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Cosmological acceleration, varying couplings, and Lorentz breaking
Orfeu Bertolami, Ralf Lehnert, Robertus Potting, and Andre Ribeiro · 2004
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The Pioneer anomaly in a bimetric theory of gravity on the brane
O. Bertolami and J. Páramos · 2004
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Vacuum solutions of a gravity model with vector-induced spontaneous Lorentz symmetry breaking
O Bertolami and J Páramos · 2005
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New bounds on cubic Lorentz-violating terms in the fermionic dispersion relation
O. Bertolami and J.G. Rosa · 2005
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Laboratory tests of gravity
J.H. Gundlach · 2005
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Noncommutative gravitational quantum well
O. Bertolami, J.G. Rosa, C.M.L. de Aragão, P. Castorina, and D. Zappalà · 2005
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Spontaneous Lorentz violation, Nambu-Goldstone modes, and gravity
Robert Bluhm and V. Alan Kostelecký · 2005
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Modern Tests of Lorentz Invariance
David Mattingly · 2005
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Observation of the ankle and evidence for a high-energy break in the cosmic ray spectrum
R.U. Abbasi et al · 2005
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Post-Einsteinian tests of linearized gravitation
Marc-Thierry Jaekel and Serge Reynaud · 2005
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Analytic Gravitational-Force Calculations for Models of the Kuiper Belt, with Application to the Pioneer Anomaly
Michael Martin Nieto · 2005
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The confrontation between general relativity and experiment
Clifford M. Will · 2006
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General theory of relativity: Will it survive the next decade?
Orfeu Bertolami, Jorge Páramos, and Slava G. Turyshev · 2006
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Quantum and classical divide: The Gravitational case
O. Bertolami and J.G. Rosa · 2006
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Gravitational solution to the Pioneer 10/11 anomaly
J.R. Brownstein and J.W. Moffat · 2006
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Pioneer anomaly and the Kuiper Belt mass distribution
Orfeu Bertolami and P. Vieira · 2006
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Is the physics within the Solar system really understood?
O. Preuss C. Laemmerzahl and H. Dittus · 2006
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Test of relativistic time dilation with fast optical atomic clocks at different velocities
S. Reinhardt, G. Saathoff, H. Buhr, L. A. Carlson, A. Wolf, D. Schwalm, S. Karpuk, C. Novotny, G. Huber, M. Zimmermann, R. Holzwarth, T. Udem, T. W. Hänsch, and G. Gwinner · 2007
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Extra force in f ( R ) f(R) modified theories of gravity
Orfeu Bertolami, Christian G. Boehmer, Tiberiu Harko, and Francisco S.N. Lobo · 2007
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Testing Local Position Invariance with Four Cesium-Fountain Primary Frequency Standards and Four NIST Hydrogen Masers
N. Ashby, T.P. Heavner, S.R. Jefferts, T.E. Parker, A.G. Radnaev, et al · 2007
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Thermal analysis of the Pioneer anomaly: A method to estimate radiative momentum transfer
O Bertolami, F Francisco, P. J. S Gil, and J Páramos · 2008
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Anomalous Orbital-Energy Changes Observed during Spacecraft Flybys of Earth
John D. Anderson, James K. Campbell, John E. Ekelund, Jordan Ellis, and James F. Jordan · 2008
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Rotating optical cavity experiment testing Lorentz invariance at the 10 − 17 {10}^{-17} level
S. Herrmann, A. Senger, K. Möhle, M. Nagel, E. V. Kovalchuk, and A. Peters · 2009
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Electrodynamics with Lorentz-violating operators of arbitrary dimension
V. Alan Kostelecký and Matthew Mewes · 2009
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Independent analysis of the orbits of Pioneer 10 and 11
Viktor T. Toth · 2009
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Pioneer Doppler data analysis: Study of periodic anomalies
A. Levy, B. Christophe, P. Berio, G. Metris, J-M. Courty, et al · 2009
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The Pioneer Anomaly in the Light of New Data
Slava G Turyshev and Viktor T Toth · 2009
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New powerful thermal modelling for high-precision gravity missions with application to Pioneer 10/11
Benny Rievers, Claus Lämmerzahl, Meike List, Stefanie Bremer, and Hansjörg Dittus · 2009
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The Cosmological constant problem: A User’s guide
Orfeu Bertolami · 2009
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Testing local Lorentz and position invariance and variation of fundamental constants by searching the derivative of the comparison frequency between a cryogenic sapphire oscillator and hydrogen maser
Michael Edmund Tobar, Peter Wolf, Sébastien Bize, Giorgio Santarelli, and Victor Flambaum · 2010
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Thermal dissipation force modeling with preliminary results for Pioneer 10/11
Benny Rievers, Stefanie Bremer, Meike List, Claus Lämmerzahl, and Hansjörg Dittus · 2010
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Estimating radiative momentum transfer through a thermal analysis of the Pioneer Anomaly
O. Bertolami, F. Francisco, P. S. J. Gil, and J. Páramos · 2010
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High precision thermal modeling of complex systems with application to the flyby and Pioneer anomaly
Benny Rievers and Claus Lammerzahl · 2011
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Modeling the flyby anomalies with dark matter scattering: update with additional data and further predictions
Stephen L. Adler · 2011
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On the Origin of Gravity and the Laws of Newton
Erik P. Verlinde · 2011
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Entropic Gravity, Phase-Space Noncommutativity and the Equivalence Principle
Catarina Bastos, Orfeu Bertolami, Nuno Costa Dias, and Joao Nuno Prata · 2011
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Modelling the reflective thermal contribution to the acceleration of the Pioneer spacecraft
F. Francisco, O. Bertolami, P.J.S. Gil, and J. Páramos · 2012
Closest in time.
Support for the thermal origin of the Pioneer anomaly
Slava G. Turyshev, Viktor T. Toth, Gary Kinsella, Siu-Chun Lee, Shing M. Lok, et al · 2012
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Testing the Flyby Anomaly with the GNSS Constellation
Orfeu Bertolami, Frederico Francisco, Paulo J. S. Gil, and Jorge Páramos · 2012
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Probing the Flyby Anomaly with the future STE-QUEST mission
Jorge Páramos and Gerald Hechenblaikner · 2012
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