Testing theories of gravity with planetary ephemerides

General Relativity

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Classical Electrodynamics

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The Confrontation between General Relativity and Experiment

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f(R) Theories

de Felice, A., & Tsujikawa, S. (2010) · Living Reviews in Relativity · doi:10.12942/lrr-2010-3 · Cited by 3,780 · see citing works

Theory and Experiment in Gravitational Physics

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GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs

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A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis

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A test of general relativity using radio links with the Cassini spacecraft

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GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo during the Second Part of the Third Observing Run

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To the problem of nonvanishing gravitation mass

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Chameleon cosmology

Khoury, J., & Weltman, A. (2004) · Physical Review D · doi:10.1103/physrevd.69.044026 · Cited by 1,634 · see citing works

Frequency Ratio of Al⁺and Hg⁺Single-Ion Optical Clocks; Metrology at the 17th Decimal Place

Rosenband, T., Hume, D. B., Schmidt, P. O., Chou, C. W., Brusch, A., Lorini, L., Oskay, W. H., Drullinger, R. E., Fortier, T. M., Stalnaker, J. E., et al. (2008) · Science · doi:10.1126/science.1154622 · Cited by 1,450 · see citing works

The string dilation and a least coupling principle

Damour, T., & Polyakov, A. M. (1994) · Nuclear Physics B · doi:10.1016/0550-3213(94)90143-0 · Cited by 1,235 · see citing works

Fourth test of general relativity

Shapiro, I. I. (1964) · Physical Review Letters · doi:10.1103/physrevlett.13.789 · Cited by 1,137 · see citing works

Massive Gravity

de Rham, C. (2014) · Living Reviews in Relativity · doi:10.12942/lrr-2014-7 · Cited by 1,120 · see citing works

Tensor-multi-scalar theories of gravitation

Damour, T., & Esposito-Farese, G. (1992) · Classical and Quantum Gravity · doi:10.1088/0264-9381/9/9/015 · Cited by 1,016 · see citing works

The Gravitational Equations and the Problem of Motion

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T ESTS OF THE G RAVITATIONAL I NVERSE -S QUARE L AW

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Flux compactification

Douglas, M. R., & Shamit Kachru, A. (2007) · Reviews of Modern Physics · doi:10.1103/revmodphys.79.733 · Cited by 874 · see citing works

Scalar-Tensor Theory and Gravitational Waves

Wagoner, R. V. (1970) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.1.3209 · Cited by 849 · see citing works

Kaluza-Klein gravity

OVERDUIN, J. M., & Wesson, P. S. (1997) · Physics Reports · doi:10.1016/s0370-1573(96)00046-4 · Cited by 832 · see citing works

Nonperturbative strong-field effects in tensor-scalar theories of gravitation

Damour, T., & Esposito-Farèse, G. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.2220 · Cited by 829 · see citing works

Varying Constants, Gravitation and Cosmology

Uzan, J. (2011) · Living Reviews in Relativity · doi:10.12942/lrr-2011-2 · Cited by 820 · see citing works

Mass models of the Milky Way

McMillan, P. J. (2011) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2011.18564.x · Cited by 789 · see citing works

The International Celestial Reference Frame as Realized by Very Long Baseline Interferometry

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Screening Long-Range Forces through Local Symmetry Restoration

Hinterbichler, K., & Khoury, J. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.231301 · Cited by 689 · see citing works

Tensor-scalar cosmological models and their relaxation toward general relativity

Damour, T., & Nordtvedt, K. L., Jr. (1993) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.48.3436 · Cited by 526 · see citing works

The JPL Planetary and Lunar Ephemerides DE440 and DE441

Park, R. S., Folkner, W. M., Williams, J. G., & Boggs, D. H. (2021) · The Astronomical Journal · doi:10.3847/1538-3881/abd414 · Cited by 520 · see citing works

Capture by the sun of a galactic population of weakly interacting, massive particles

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Bounding the mass of the graviton using gravitational-wave observations of inspiralling compact binaries

Will, C. M. (1998) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.57.2061 · Cited by 469 · see citing works

Frequency Ratio of Two Optical Clock Transitions in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:msup><mml:mrow><mml:mi>Yb</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>171</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow></mml:math>and Constraints on the Time Variation of Fundamental Constants

Godun, R. M., Nisbet-Jones, P. B. R., Jones, J. M., King, S. A., Johnson, L. A. M., Margolis, H. S., Szymaniec, K., Lea, S. N., Bongs, K., & Gill, P. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.210801 · Cited by 468 · see citing works

String theory and gravity

Damour, T., & Polyakov, A. M. (1994) · General Relativity and Gravitation · doi:10.1007/bf02106709 · Cited by 462 · see citing works

Tensor-scalar gravity and binary-pulsar experiments.

Damour, T., & Esposito-Farèse, G. (1996) · Physical Review D, Particles and fields · doi:10.1103/physrevd.54.1474 · Cited by 456 · see citing works

Sur la théorie ondulatoire des électrons positifs et négatifs

Proca, A. (1936) · Journal de physique · doi:10.1051/jphysrad:0193600708034700 · Cited by 434 · see citing works

The relativistic pulsar-white dwarf binary PSR J1738+0333 - II. The most stringent test of scalar-tensor gravity

Freire, P., Wex, N., Esposito-Farèse, G., Verbiest, J., Bailes, M., Jacoby, B. A., Kramer, M., Stairs, I., Antoniadis, J., & Janssen, G. (2012) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2012.21253.x · Cited by 434 · see citing works

Prinzipielles zur allgemeinen Relativitätstheorie

Einstein, A. (1918) · Annalen der Physik · doi:10.1002/andp.19183600402 · Cited by 427 · see citing works

Mars high resolution gravity fields from MRO, Mars seasonal gravity, and other dynamical parameters

Konopliv, A. S., Asmar, S. W., Folkner, W. M., Karatekin, Ö., Nunes, D. C., SMREKAR, S. E., Yoder, C. F., & Zuber, M. T. (2010) · Icarus · doi:10.1016/j.icarus.2010.10.004 · Cited by 417 · see citing works

Violations of the equivalence principle in a dilaton-runaway scenario

Damour, T., Piazza, F., & VENEZIANO, G. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.66.046007 · Cited by 410 · see citing works

Testing General Relativity with Pulsar Timing

Stairs, I. (2003) · Living Reviews in Relativity · doi:10.12942/lrr-2003-5 · Cited by 402 · see citing works

Equivalence Principle for Massive Bodies. II. Theory

Nordtvedt, K. L., Jr. (1968) · Physical Review · doi:10.1103/physrev.169.1017 · Cited by 402 · see citing works

The IAU 2000 Resolutions for Astrometry, Celestial Mechanics, and Metrology in the Relativistic Framework: Explanatory Supplement

Soffel, M., Klioner, S. A., Petit, G., Wolf, P., Kopeikin, S. M., Bretagnon, P., Brumberg, V. A., Capitaine, N., Damour, T., Fukushima, T., et al. (2003) · The Astronomical Journal · doi:10.1086/378162 · Cited by 392 · see citing works

An introduction to the Vainshtein mechanism

Babichev, E., & Deffayet, C. (2013) · Classical and Quantum Gravity · doi:10.1088/0264-9381/30/18/184001 · Cited by 383 · see citing works

Improved Limit on a Temporal Variation of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>m</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo stretchy="false">/</mml:mo><mml:msub><mml:mi>m</mml:mi><mml:mi>e</mml:mi></mml:msub></mml:math>from Comparisons of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>Yb</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>and Cs Atomic Clocks

Huntemann, N., Lipphardt, B., Tamm, C., Gerginov, V., Weyers, S., & Peik, E. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.210802 · Cited by 366 · see citing works

Tests of chameleon gravity

Burrage, C., & Sakstein, J. (2018) · Living Reviews in Relativity · doi:10.1007/s41114-018-0011-x · Cited by 366 · see citing works

A global solution for the Mars static and seasonal gravity, Mars orientation, Phobos and Deimos masses, and Mars ephemeris

Konopliv, A. S., Yoder, C. F., STANDISH, E. M., Yuan, D., & SJOGREN, W. L. (2006) · Icarus · doi:10.1016/j.icarus.2005.12.025 · Cited by 322 · see citing works

General-relativistic celestial mechanics. I. Method and definition of reference systems

Damour, T., Soffel, M., & Xu, C. (1991) · Physical Review D · doi:10.1103/physrevd.43.3273 · Cited by 310 · see citing works

The third realization of the International Celestial Reference Frame by very long baseline interferometry

Charlot, P., Jacobs, C. S., Gordon, D., Lambert, S. B., de Witt, A., Böhm, J., Fey, A. L., Heinkelmann, R., Skurikhina, E., Titov, O., et al. (2020) · Astronomy and Astrophysics · doi:10.1051/0004-6361/202038368 · Cited by 305 · see citing works

Report of the IAU Working Group on Cartographic Coordinates and Rotational Elements: 2015

Archinal, B. A., Acton, C. H., A’Hearn, M. F., Conrad, A. R., Consolmagno, G. J., Duxbury, T. C., Hestroffer, D., Hilton, J. L., Kirk, R., Klioner, S. A., et al. (2018) · Celestial Mechanics and Dynamical Astronomy · doi:10.1007/s10569-017-9805-5 · Cited by 302 · see citing works

Progress in atomic fountains at LNE-SYRTE

Guéna, J., Abgrall, M., Rovera, D., Laurent, P., Chupin, B., Lours, M., Santarelli, G., Rosenbusch, P., Tobar, M. E., Li, R., et al. (2012) · IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control · doi:10.1109/tuffc.2012.2208 · Cited by 291 · see citing works

Equivalence principle violations and couplings of a light dilaton

Damour, T., & Donoghue, J. F. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.82.084033 · Cited by 290 · see citing works

THE SECOND REALIZATION OF THE INTERNATIONAL CELESTIAL REFERENCE FRAME BY VERY LONG BASELINE INTERFEROMETRY

Fey, A. L., Gordon, D., Jacobs, C. S., Ma, C., Gaume, R. A., Arias, E. F., Bianco, G., Boboltz, D. A., Böckmann, S., Bolotin, S., et al. (2015) · The Astronomical Journal · doi:10.1088/0004-6256/150/2/58 · Cited by 289 · see citing works

Quasi-linear formulation of MOND

Milgrom, M. (2010) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2009.16184.x · Cited by 279 · see citing works

The INPOP10a planetary ephemeris and its applications in fundamental physics

Fienga, A., Laskar, J., Kuchyňka, P., Manche, H., Desvignes, G., Gastineau, M., Cognard, I., & Theureau, G. (2011) · Celestial Mechanics and Dynamical Astronomy · doi:10.1007/s10569-011-9377-8 · Cited by 267 · see citing works

Theory of Satellite Geodesy: Applications of Satellites to Geodesy

Kaula, W. M. (2000) · CERN Document Server (European Organization for Nuclear Research) · Cited by 266 · see citing works

Theorems on gravitational time delay and related issues

Gao, S., & Wald, R. M. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/24/305 · Cited by 262 · see citing works

Venus Gravity: 180th Degree and Order Model

Konopliv, A. S., Banerdt, W. B., & SJOGREN, W. L. (1999) · Icarus · doi:10.1006/icar.1999.6086 · Cited by 261 · see citing works

Strong-Field Gravity Tests with the Double Pulsar

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Determination of the local dark matter density in our Galaxy

Weber, M., & de Boer, W. (2009) · Astronomy and Astrophysics · doi:10.1051/0004-6361/200913381 · Cited by 247 · see citing works

Equivalence Principle for Massive Bodies. I. Phenomenology

Nordtvedt, K. L., Jr. (1968) · Physical Review · doi:10.1103/physrev.169.1014 · Cited by 246 · see citing works

High-Precision Ephemerides of Planets—EPM and Determination of Some Astronomical Constants

Pitjeva, E. V. (2005) · Solar System Research · doi:10.1007/s11208-005-0033-2 · Cited by 223 · see citing works

New Relativistic Theory for Modified Newtonian Dynamics

Skordis, C., & Zlosnik, T. G. (2021) · Physical Review Letters · doi:10.1103/physrevlett.127.161302 · Cited by 219 · see citing works

Hidden Mass in the Asteroid Belt

Krasinsky, G. A. (2002) · Icarus · doi:10.1006/icar.2002.6837 · Cited by 214 · see citing works

Precession of Mercury’s Perihelion from Ranging to the MESSENGER Spacecraft

Park, R. S., Folkner, W. M., Konopliv, A. S., Williams, J. G., Smith, D. E., & Zuber, M. T. (2017) · The Astronomical Journal · doi:10.3847/1538-3881/aa5be2 · Cited by 211 · see citing works

Experimental Test of the Variability of G Using Viking Lander Ranging Data

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Relativistic effects and solar oblateness from radar observations of planets and spacecraft

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Phenomenology of the Lense-Thirring effect in the solar system

Iorio, L., Lichtenegger, H., Ruggiero, M., & Corda, C. (2010) · Astrophysics and Space Science · doi:10.1007/s10509-010-0489-5 · Cited by 201 · see citing works

An improved JPL Mars gravity field and orientation from Mars orbiter and lander tracking data

Konopliv, A. S., Park, R. S., & Folkner, W. M. (2016) · Icarus · doi:10.1016/j.icarus.2016.02.052 · Cited by 194 · see citing works

The mass, gravity field, and ephemeris of Mercury

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Inertial and gravitational effects in the proper reference frame of an accelerated, rotating observer

Ni, W.-T., & Zimmermann, M. (1978) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.17.1473 · Cited by 188 · see citing works

Violation of the equivalence principle from light scalar dark matter

Hees, A., Minazzoli, O., Savalle, E., Stadnik, Y. V., & Wolf, P. (2018) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.98.064051 · Cited by 183 · see citing works

INPOP06: a new numerical planetary ephemeris

Fienga, A., Manche, H., Laskar, J., & Gastineau, M. (2007) · Astronomy and Astrophysics · doi:10.1051/0004-6361:20066607 · Cited by 179 · see citing works

Lunar laser ranging tests of the equivalence principle

Williams, J. G., Turyshev, S. G., & Boggs, D. H. (2012) · Classical and Quantum Gravity · doi:10.1088/0264-9381/29/18/184004 · Cited by 175 · see citing works

Support for the Thermal Origin of the Pioneer Anomaly

Turyshev, S. G., Toth, V. T., Kinsella, G., Lee, S.-C., Lok, S. M., & Ellis, J. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.241101 · Cited by 175 · see citing works

0 Phenomenology of the Lense-Thirring effect in the Solar SystemPreprint

Iorio, L., Lichtenegger, H., Luca, M., Corda, R. C., Ruggiero, M. L., & Corda, C. (2011) · Cited by 171 · see citing works

Theoretical aspects of the equivalence principle

Damour, T. (2012) · Classical and Quantum Gravity · doi:10.1088/0264-9381/29/18/184001 · Cited by 164 · see citing works

Secular increase of astronomical unit from analysis of the major planet motions, and its interpretation

Krasinsky, G. A., & Brumberg, V. A. (2004) · Celestial Mechanics and Dynamical Astronomy · doi:10.1007/s10569-004-0633-z · Cited by 164 · see citing works

INPOP08, a 4-D planetary ephemeris: from asteroid and time-scale computations to ESA Mars Express and Venus Express contributions

Fienga, A., Laskar, J., Morley, T., Manche, H., Kuchyňka, P., Poncin-Lafitte, C. L., Budnik, F., Gastineau, M., & Somenzi, L. (2009) · Astronomy and Astrophysics · doi:10.1051/0004-6361/200911755 · Cited by 162 · see citing works

2 Theoretical Aspects of the Equivalence PrinciplePreprint

Damour, T. (2016) · Cited by 158 · see citing works

The Pioneer Anomaly

Turyshev, S., & Toth, V. (2010) · Living Reviews in Relativity · doi:10.12942/lrr-2010-4 · Cited by 155 · see citing works

Astronomical constants and planetary ephemerides deduced from radar and optical observations

Ash, M. E., Shapiro, I. I., & Smith, W. B. (1967) · The Astronomical Journal · doi:10.1086/110230 · Cited by 154 · see citing works

Helioseismic determination of the solar gravitational quadrupole moment

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The IAU 2009 system of astronomical constants: the report of the IAU working group on numerical standards for Fundamental Astronomy

Luzum, B. J., Capitaine, N., Fienga, A., Folkner, W. M., Fukushima, T., Hilton, J. L., Hohenkerk, C. Y., Krasinsky, G. A., Petit, G., Pitjeva, E. V., et al. (2011) · Celestial Mechanics and Dynamical Astronomy · doi:10.1007/s10569-011-9352-4 · Cited by 151 · see citing works

Constraints on modified Newtonian dynamics theories from radio tracking data of the Cassini spacecraft

Hees, A., Folkner, W. M., Jacobson, R. A., & Park, R. S. (2014) · Physical Review D · doi:10.1103/physrevd.89.102002 · Cited by 142 · see citing works

Testing general relativity with the BepiColombo radio science experiment

Milani, A., Vokrouhlický, D., Villani, D., Bonanno, C., & Rossi, A. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.66.082001 · Cited by 142 · see citing works

Solar system expansion and strong equivalence principle as seen by the NASA MESSENGER mission

Genova, A., Mazarico, E., Goossens, S., Lemoine, F. G., Neumann, G. A., Smith, D. E., & Zuber, M. T. (2018) · Nature Communications · doi:10.1038/s41467-017-02558-1 · Cited by 142 · see citing works

Improved Tests of Local Position Invariance Using Rb87 and Cs133 Fountains

Guéna, J., Abgrall, M., Rovera, D., Rosenbusch, P., Tobar, M. E., Laurent, P., Clairon, A., & Bize, S. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.080801 · Cited by 141 · see citing works

Dark matter versus modifications of the gravitational inverse-square law: results from planetary motion in the Solar system

Sereno, M., & Jetzer, P. (2006) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2006.10670.x · Cited by 141 · see citing works

Jupiter's Gravity Field Halfway Through the Juno Mission

Durante, D., Parisi, M., Serra, D., Zannoni, M., Notaro, V., Racioppa, P., Buccino, D., Lari, G., Casajus, L. A. G., IESS, L., et al. (2020) · Geophysical Research Letters · doi:10.1029/2019gl086572 · Cited by 137 · see citing works

Use of MESSENGER radioscience data to improve planetary ephemeris and to test general relativity

Verma, A. K., Fienga, A., Laskar, J., Manche, H., & Gastineau, M. (2013) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201322124 · Cited by 126 · see citing works

Physics of the Solar System

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New Limits on Variation of the Fine-Structure Constant Using Atomic Dysprosium

Leefer, N., Weber, C. T. M., Cingöz, A., Torgerson, J. R., & Budker, D. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.060801 · Cited by 123 · see citing works

THE ORBITS OF THE NEPTUNIAN SATELLITES AND THE ORIENTATION OF THE POLE OF NEPTUNE

Jacobson, R. A. (2009) · The Astronomical Journal · doi:10.1088/0004-6256/137/5/4322 · Cited by 123 · see citing works

New tests of Einstein's equivalence principle and Newton's inverse-square law

Adelberger, E. G. (2001) · Classical and Quantum Gravity · doi:10.1088/0264-9381/18/13/302 · Cited by 122 · see citing works

Numerical estimation of the sensitivity of INPOP planetary ephemerides to general relativity parameters

Fienga, A., Laskar, J., Exertier, P., Manche, H., & Gastineau, M. (2015) · Celestial Mechanics and Dynamical Astronomy · doi:10.1007/s10569-015-9639-y · Cited by 121 · see citing works

The Apache Point Observatory Lunar Laser-ranging Operation: Instrument Description and First Detections

Murphy, T. W., Adelberger, E. G., Battat, J., Carey, L. N., Hoyle, C. D., LeBlanc, P., Michelsen, E. L., Nordtvedt, K. L., Jr., Orin, A. E., Strasburg, J. D., et al. (2008) · Publications of the Astronomical Society of the Pacific · doi:10.1086/526428 · Cited by 117 · see citing works

Tests of gravitational symmetries with pulsar binary J1713+0747

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