LUNAR LASER RANGING TESTS OF THE EQUIVALENCE PRINCIPLE WITH THE EARTH AND MOON

A primary objective of the lunar laser ranging (LLR) experiment is to provide precise observations of the lunar orbit that contribute to a wide range of science investigations. In particular, time series of the highly accurate measurements of the distance between the Earth and the Moon provide unique information used to determine whether, in accordance with the equivalence principle (EP), these two celestial bodies are falling toward the Sun at the same rate, despite their different masses, compositions, and gravitational self-energies. Thirty-five years since their initiation, analyses of precision laser ranges to the Moon continue to provide increasingly stringent limits on any violation of the EP. Current LLR solutions give (-1.0 ± 1.4) × 10-13 for any possible inequality in the ratios of the gravitational and inertial masses for the Earth and Moon, Δ(MG/MI). This result, in combination with laboratory experiments on the weak equivalence principle, yields a strong equivalence principle (SEP) test of Δ(...

[1]  J. G. Williams,et al.  Lunar geophysics, geodesy, and dynamics , 2002 .

[2]  J. T. Ratcliff,et al.  Lunar rotational dissipation in solid body and molten core , 2001 .

[3]  Slava G. Turyshev,et al.  Progress in lunar laser ranging tests of relativistic gravity. , 2004 .

[4]  S. Tremaine,et al.  The Dynamical Evidence for Dark Matter , 1992 .

[5]  T. Damour,et al.  General relativity as a cosmological attractor of tensor-scalar theories. , 1993, Physical review letters.

[6]  35 years of testing relativistic gravity: Where do we go from here? , 2003 .

[7]  Thibault Damour Testing the equivalence principle: why and how? , 1996 .

[8]  Kenneth Nordtvedt,et al.  EQUIVALENCE PRINCIPLE FOR MASSIVE BODIES. II. THEORY. , 1968 .

[9]  H. Baer,et al.  b ---> s gamma constraints on the minimal supergravity model with large tan Beta , 1997, hep-ph/9712305.

[10]  Slava G. Turyshev,et al.  Lunar Laser Ranging Science , 2004 .

[11]  D. Vokrouhlický A Note on the Solar Radiation Perturbations of Lunar Motion , 1997 .

[12]  V. Braginsky,et al.  The influence of dark matter on the motion of planets and satellites in the solar system , 1992 .

[13]  David E. Smith,et al.  Contributions of space geodesy to geodynamics : technology , 1993 .

[14]  Clifford M. Will,et al.  Theory and Experiment in Gravitational Physics: Frontmatter , 1993 .

[15]  T. Damour,et al.  Violations of the equivalence principle in a dilaton-runaway scenario , 2002 .

[16]  John Degnan,et al.  Satellite Laser Ranging: Current Status and Future Prospects , 1985, IEEE Transactions on Geoscience and Remote Sensing.

[17]  Hood,et al.  Improved gravity field of the moon from lunar prospector , 1998, Science.

[18]  Equivalence principle and the Moon. , 1995, Physical review. D, Particles and fields.

[19]  K. Nordtvedt Equivalence Principle for Massive Bodies. I. Phenomenology , 1968 .

[20]  W. Hartmann,et al.  Origin of the Moon , 1986 .

[21]  Christopher W. Stubbs,et al.  Apollo:. a New Push in Lunar Laser Ranging , 2007 .

[22]  T. Damour Questioning the equivalence principle , 2001, gr-qc/0109063.

[23]  C. Will General Relativity at 75: How Right Was Einstein? , 1990, Science.

[24]  Clifford M. Will,et al.  Conservation Laws and Preferred Frames in Relativistic Gravity. I. Preferred-Frame Theories and an Extended PPN Formalism , 1972 .

[25]  Runaway dilaton and equivalence principle violations. , 2002, Physical review letters.

[26]  R. Krotkov,et al.  The equivalence of inertial and passive gravitational mass , 1964 .

[27]  C. Will THEORETICAL FRAMEWORKS FOR TESTING RELATIVISTIC GRAVITY. II. PARAMETRIZED POST-NEWTONIAN HYDRODYNAMICS, AND THE NORDTVEDT EFFECT. , 1971 .

[28]  Tensor-scalar gravity and binary-pulsar experiments. , 1996, Physical review. D, Particles and fields.

[29]  J. Faller,et al.  Laser Beam Directed at the Lunar Retro-Reflector Array: Observations of the First Returns , 1969, Science.

[30]  H. N. Russell On Majorana's Theory of Gravitation , 1921 .

[31]  W. Sjogren,et al.  Geophysical parameters of the Earth‐Moon System , 1980 .

[32]  J. Anderson,et al.  Long-range tests of the equivalence principle , 2001 .

[33]  J. Miller,et al.  A Global Solution for the Gravity Field, Rotation, Landmarks, and Ephemeris of Eros , 2002 .

[34]  N. Wex Pulsar Timing — Strong Gravity Clock Experiments , 2001 .

[35]  A. Polyakov,et al.  The string dilation and a least coupling principle , 1994, hep-th/9401069.

[36]  P. Tortora,et al.  A test of general relativity using radio links with the Cassini spacecraft , 2003, Nature.

[37]  String theory and gravity , 1994, gr-qc/9411069.

[38]  Slava G. Turyshev,et al.  The Solar Test of the Equivalence Principle , 1996 .

[39]  Kenneth Nordtvedt,et al.  Testing relativity with laser ranging to the moon , 1968 .

[40]  Experimental gravitation (what is possible and what is interesting to measure) , 1994 .

[41]  John C. Ries,et al.  Progress in the determination of the gravitational coefficient of the Earth , 1992 .

[42]  J. Synge,et al.  Relativity: The General Theory , 1960 .

[43]  Adelberger,et al.  Test of the equivalence principle for ordinary matter falling toward dark matter. , 1993, Physical review letters.

[44]  Cosmic acceleration of the Earth and Moon by dark matter. , 1994 .

[45]  E. M. Standish,et al.  TIME SCALES IN THE JPL AND CFA EPHEMERIDES , 1998 .

[46]  T. Damour,et al.  Tensor-scalar cosmological models and their relaxation toward general relativity. , 1993, Physical review. D, Particles and fields.

[47]  X. Newhall,et al.  Relativity parameters determined from lunar laser ranging. , 1996, Physical review. D, Particles and fields.

[48]  J. G. Williams,et al.  The Lunar Laser Ranging Experiment , 1973, Science.

[49]  K. Nordtvedt 30 years of lunar laser ranging and the gravitational interaction , 1999 .

[50]  G. Smith,et al.  Eötvös experiments, lunar ranging and the strong equivalence principle , 1990, Nature.

[51]  H. Ruder,et al.  Determination of Relativistic Quantities by Analyzing Lunar Laser Ranging Data , 1996 .

[52]  J. Chapront,et al.  ELP 2000-85: a semi-analytical lunar ephemeris adequate for historical times , 1988 .

[53]  J. Chapront,et al.  A new determination of lunar orbital parameters, precession constant and tidal acceleration from LLR measurements , 2002 .

[54]  The Nordtvedt effect in the Trojan asteroids , 1992, gr-qc/9210002.

[55]  D. Mitchell,et al.  Initial measurements of the lunar induced magnetic dipole moment using Lunar Prospector Magnetometer data , 1999 .

[56]  K. Nordtvedt The Relativistic Orbit Observables in Lunar Laser Ranging , 1995 .

[57]  Jens H. Gundlach,et al.  IMPROVED TEST OF THE EQUIVALENCE PRINCIPLE FOR GRAVITATIONAL SELF-ENERGY , 1999 .

[58]  R. Ulrich The influence of partial ionization and scattering states on the solar interior structure , 1982 .

[59]  James G. Williams,et al.  SPACE-BASED TESTS OF GRAVITY WITH LASER RANGING , 2006 .

[60]  J. G. Williams,et al.  New Test of the Equivalence Principle from Lunar Laser Ranging , 1976 .

[61]  K. Nordtvedt Optimizing the observation schedule for tests of gravity in lunar laser ranging and similar experiments , 1998 .

[62]  Christopher W. Stubbs,et al.  Apache Point Observatory Lunar Laser-ranging Operation (APOLLO) , 2004 .

[63]  Gerard Petit,et al.  IERS Conventions (2003) , 2004 .

[64]  O. Kuskov,et al.  Constitution of the Moon: 5. Constraints on composition, density, temperature, and radius of a core , 1998 .

[65]  H. Gould,et al.  Space-based research in fundamental physics and quantum technologies , 2007, 0711.0150.

[66]  E. Adelberger New tests of Einstein's equivalence principle and Newton's inverse-square law , 2001 .

[67]  X. Newhall,et al.  Investigating relativity using lunar laser ranging: geodetic precession and the Nordtvedt effect. , 1989 .

[68]  Richard J. Hughes The equivalence principle , 1993 .

[69]  Etienne Samain,et al.  Millimetric Lunar Laser Ranging at OCA (Observatoire de la Côte d'Azur) , 1998 .

[70]  Damour,et al.  Testing for gravitationally preferred directions using the lunar orbit. , 1996, Physical review. D, Particles and fields.

[71]  IMPROVING LLR TESTS OF GRAVITATIONAL THEORY , 2003, gr-qc/0311021.

[72]  Schaefer,et al.  New tests of the strong equivalence principle using binary-pulsar data. , 1991, Physical review letters.

[73]  Slava G. Turyshev,et al.  Lunar Laser Ranging Science: Gravitational Physics and Lunar Interior and Geodesy , 2006 .

[74]  J. G. Williams,et al.  Lunar laser tests of gravitational physics , 2000 .

[75]  D. Batens,et al.  Theory and Experiment , 1988 .

[76]  F. Flasar,et al.  Energetics of core formation: A correction , 1973 .

[77]  Testing gravity to second post-Newtonian order: A field-theory approach. , 1995, Physical review. D, Particles and fields.

[78]  Rogers,et al.  Testing the equivalence principle in the field of the Earth: Particle physics at masses below 1 microeV? , 1990, Physical review. D, Particles and fields.

[79]  K. Nordtvedt Lunar laser ranging: A Comprehensive probe of postNewtonian gravity , 2003, gr-qc/0301024.

[80]  Q. Majorana XLVIII. On gravitation. Theoretical and experimental researches , 1920 .

[81]  Charles C. Counselman,et al.  Verification of the principle of equivalence for massive bodies. [from lunar retroreflector echo delay data] , 1976 .

[82]  K. Nordtvedt Solar System Eotvos Experiments , 1970 .

[83]  J. Williams,et al.  Lunar Laser Ranging: A Continuing Legacy of the Apollo Program , 1994, Science.

[84]  Harris,et al.  New tests of the universality of free fall. , 1994, Physical review. D, Particles and fields.

[85]  D. Vokrouhlický,et al.  Recent Progress in Analytical Modeling of the Relativistic Effects in the Lunar Motion , 1997 .