Milgrom M (2014) The MOND paradigm of modified dynamics. Scholarpedia 9(6):31410. https://doi.org/10.4249/scholarpedia.31410revision#197699

Milgrom M (1983) A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis. ApJ 270:365-370. https://doi.org/10.1086/161130

Milgrom M (2010) Quasi-linear formulation of MOND. Mon Not R Astron Soc 403(2):886-895. https://doi.org/10.1111/j.1365-2966.2009.16184.x. arXiv:0911.5464

Minazzoli O (2012) 2PN/RM gauge invariance in Brans-Dicke-like scalar-tensor theories. Class Quantum Grav 29(23):237002. https://doi.org/10.1088/0264-9381/29/23/237002. arXiv:1210.3073

Minazzoli O, Chauvineau B (2011) Scalar-tensor propagation of light in the inner solar system including relevant $c^{-4}$ contributions for ranging and time transfer. Class Quantum Grav 28(8):085010. https://doi.org/10.1088/0264-9381/28/8/085010. arXiv:1007.3942

Minazzoli O, Hees A (2013) Intrinsic Solar System decoupling of a scalar-tensor theory with a universal coupling between the scalar field and the matter Lagrangian. Phys Rev D 88(4):041504. https://doi.org/10.1103/PhysRevD.88.041504. arXiv:1308.2770

Minazzoli O, Hees A (2016) Dilatons with intrinsic decouplings. Phys Rev D 94:064038. https://doi.org/10.1103/PhysRevD.94.064038

Minazzoli O, Johnson-McDaniel NK, Sakellariadou M (2019) Shortcomings of Shapiro delay-based tests of the equivalence principle on cosmological scales. Phys Rev D 100:104047. https://doi.org/10.1103/PhysRevD.100.104047

Misner CW, Thorne KS, Wheeler JA (1973) Gravitation. WH Freedman

Moskovitz NA, Wasserman L, Burt B, Schottland R, Bowell E, Bailen M, Granvik M (2022) The astorb database at Lowell observatory. Astron Comput 41:100661. https://doi.org/10.1016/j.ascom.2022.100661. arXiv:2210.10217

Moyer T (1971) DPOD manual. IOM 3215-37, JPL

Moyer T (2000) Formulation for observed and computed values of deep space network data types for navigation. Monography of deep space communications and navigation series, vol 2. JPL, Pasadena

Murphy TW, Adelberger EG, Battat JBR, Carey LN, Hoyle CD, Leblanc P, Michelsen EL, Nordtvedt K, Orin AE, Strasburg JD, Stubbs CW, Swanson HE, Williams E (2008) The apache point observatory lunar laser-ranging operation: instrument description and first detections. PASP 120:20-37. https://doi.org/10.1086/526428. arXiv:0710.0890

Nelson RA, Ely TA (2006) Relativistic transformations for time synchronization and dissemination in the solar system. In: 38th Annual Precise Time and Time Interval (PTTI) Meeting

Newhall XX, Standish JEM, Williams JG (1983) DE 102: a numerically integrated ephemeris of the moon and planets spanning forty-four centuries. Astron Astrophys 125(1):150-167

Ni WT, Zimmermann M (1978) Inertial and gravitational effects in the proper reference frame of an accelerated, rotating observer. Phys Rev D 17(6):1473-1476. https://doi.org/10.1103/PhysRevD.17.1473

Nitti F (2022) Notes on the mass of bound objects. Private communication

Nitti F, Piazza F (2012) Scalar-tensor theories, trace anomalies, and the QCD frame. Phys Rev D 86:122002. https://doi.org/10.1103/PhysRevD.86.122002

Noether E (1918) Invariante Variationsprobleme. Nachr König Gesellsch Wiss Gött 235-237

Nordtvedt K (1968) Equivalence principle for massive bodies. I. Phenomenology. Phys Rev 169:1014-1016. https://doi.org/10.1103/PhysRev.169.1014

Nordtvedt K (1968) Equivalence principle for massive bodies. II. Theory. Phys Rev 169:1017-1025. https://doi.org/10.1103/PhysRev.169.1017

Nordtvedt KL (1994) Cosmic acceleration of Earth and the Moon by dark matter. Astrophys J 437:529-531. https://doi.org/10.1086/175016

Overduin JM, Wesson PS (1997) Kaluza-Klein gravity. Phys Rep 283(5):303-378. https://doi.org/10.1016/S0370-1573(96)00046-4. arXiv:gr-qc/9805018

Page GL, Wallin JF, Dixon DS (2009) How well do we know the orbits of the outer planets? ApJ 697 (2):1226-1241. https://doi.org/10.1088/0004-637X/697/2/1226. arXiv:0905.0030

Park RS, Folkner WM, Konopliv AS, Williams JG, Smith DE, Zuber MT (2017) Precession of Mercury's perihelion from ranging to the MESSENGER spacecraft. Astron J 153(3):121. https://doi.org/10.3847/1538-3881/aa5be2

Park RS, Folkner WM, Williams JG, Boggs DH (2021) The JPL planetary and lunar ephemerides DE440 and DE441. Astron J 161(3):105. https://doi.org/10.3847/1538-3881/abd414
Milgrom M (2014) The MOND paradigm of modified dynamics. Scholarpedia 9(6):31410. https://doi.org/10.4249/scholarpedia.31410revision#197699

Milgrom M (1983) A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis. ApJ 270:365-370. https://doi.org/10.1086/161130

Milgrom M (2010) Quasi-linear formulation of MOND. Mon Not R Astron Soc 403(2):886-895. https://doi.org/10.1111/j.1365-2966.2009.16184.x. arXiv:0911.5464

Minazzoli O (2012) 2PN/RM gauge invariance in Brans-Dicke-like scalar-tensor theories. Class Quantum Grav 29(23):237002. https://doi.org/10.1088/0264-9381/29/23/237002. arXiv:1210.3073

Minazzoli O, Chauvineau B (2011) Scalar-tensor propagation of light in the inner solar system including relevant $c^{-4}$ contributions for ranging and time transfer. Class Quantum Grav 28(8):085010. https://doi.org/10.1088/0264-9381/28/8/085010. arXiv:1007.3942

Minazzoli O, Hees A (2013) Intrinsic Solar System decoupling of a scalar-tensor theory with a universal coupling between the scalar field and the matter Lagrangian. Phys Rev D 88(4):041504. https://doi.org/10.1103/PhysRevD.88.041504. arXiv:1308.2770

Minazzoli O, Hees A (2016) Dilatons with intrinsic decouplings. Phys Rev D 94:064038. https://doi.org/10.1103/PhysRevD.94.064038

Minazzoli O, Johnson-McDaniel NK, Sakellariadou M (2019) Shortcomings of Shapiro delay-based tests of the equivalence principle on cosmological scales. Phys Rev D 100:104047. https://doi.org/10.1103/PhysRevD.100.104047

Misner CW, Thorne KS, Wheeler JA (1973) Gravitation. WH Freedman

Moskovitz NA, Wasserman L, Burt B, Schottland R, Bowell E, Bailen M, Granvik M (2022) The astorb database at Lowell observatory. Astron Comput 41:100661. https://doi.org/10.1016/j.ascom.2022.100661. arXiv:2210.10217

Moyer T (1971) DPOD manual. IOM 3215-37, JPL

Moyer T (2000) Formulation for observed and computed values of deep space network data types for navigation. Monography of deep space communications and navigation series, vol 2. JPL, Pasadena

Murphy TW, Adelberger EG, Battat JBR, Carey LN, Hoyle CD, Leblanc P, Michelsen EL, Nordtvedt K, Orin AE, Strasburg JD, Stubbs CW, Swanson HE, Williams E (2008) The apache point observatory lunar laser-ranging operation: instrument description and first detections. PASP 120:20-37. https://doi.org/10.1086/526428. arXiv:0710.0890

Nelson RA, Ely TA (2006) Relativistic transformations for time synchronization and dissemination in the solar system. In: 38th Annual Precise Time and Time Interval (PTTI) Meeting

Newhall XX, Standish JEM, Williams JG (1983) DE 102: a numerically integrated ephemeris of the moon and planets spanning forty-four centuries. Astron Astrophys 125(1):150-167

Ni WT, Zimmermann M (1978) Inertial and gravitational effects in the proper reference frame of an accelerated, rotating observer. Phys Rev D 17(6):1473-1476. https://doi.org/10.1103/PhysRevD.17.1473

Nitti F (2022) Notes on the mass of bound objects. Private communication

Nitti F, Piazza F (2012) Scalar-tensor theories, trace anomalies, and the QCD frame. Phys Rev D 86:122002. https://doi.org/10.1103/PhysRevD.86.122002

Noether E (1918) Invariante Variationsprobleme. Nachr König Gesellsch Wiss Gött 235-237

Nordtvedt K (1968) Equivalence principle for massive bodies. I. Phenomenology. Phys Rev 169:1014-1016. https://doi.org/10.1103/PhysRev.169.1014

Nordtvedt K (1968) Equivalence principle for massive bodies. II. Theory. Phys Rev 169:1017-1025. https://doi.org/10.1103/PhysRev.169.1017

Nordtvedt KL (1994) Cosmic acceleration of Earth and the Moon by dark matter. Astrophys J 437:529-531. https://doi.org/10.1086/175016

Overduin JM, Wesson PS (1997) Kaluza-Klein gravity. Phys Rep 283(5):303-378. https://doi.org/10.1016/S0370-1573(96)00046-4. arXiv:gr-qc/9805018

Page GL, Wallin JF, Dixon DS (2009) How well do we know the orbits of the outer planets? ApJ 697 (2):1226-1241. https://doi.org/10.1088/0004-637X/697/2/1226. arXiv:0905.0030

Park RS, Folkner WM, Konopliv AS, Williams JG, Smith DE, Zuber MT (2017) Precession of Mercury's perihelion from ranging to the MESSENGER spacecraft. Astron J 153(3):121. https://doi.org/10.3847/1538-3881/aa5be2

Park RS, Folkner WM, Williams JG, Boggs DH (2021) The JPL planetary and lunar ephemerides DE440 and DE441. Astron J 161(3):105. https://doi.org/10.3847/1538-3881/abd414
Pavlov D (2020) Role of lunar laser ranging in realization of terrestrial, lunar, and ephemeris reference frames. J Geodesy 94(1):5. https://doi.org/10.1007/s00190-019-01333-y

Petit G, Luzum B (2010) IERS conventions (2010). IERS Tech Note 36:1

Pijpers FP (1998) Helioseismic determination of the solar gravitational quadrupole moment. Mon Not R Astron Soc 297(3):L76-L80. https://doi.org/10.1046/j.1365-8711.1998.01801.x. arXiv:astro-ph/9804258

Pinto RF, Brun AS, Jouve L, Grappin R (2011) Coupling the Solar dynamo and the Corona: wind properties, mass, and momentum losses during an activity cycle. Astrophys J 737:72. https://doi.org/10.1088/0004-637X/737/2/72. arXiv:1106.0882

Pitjeva EV (1993) Experimental testing of relativistic effects, variability of the gravitational constant and topography of Mercury surface from radar observations 1964 1989. Celest Mech Dyn Astron 55 (4):313-321. https://doi.org/10.1007/BF00692991

Pitjeva EV (2001) Modern numerical ephemerides of planets and the importance of ranging observations for their creation. Celest Mech Dyn Astron 80:249-271. https://doi.org/10.1023/A:1012289530641

Pitjeva EV (2005) High-precision ephemerides of planets: EPM and determination of some astronomical constants. Sol Syst Res 39(3):176-186. https://doi.org/10.1007/s11208-005-0033-2

Pitjeva EV (2005) Relativistic effects and solar oblateness from radar observations of planets and spacecraft. Astron Lett 31(5):340-349. https://doi.org/10.1134/1.1922533

Pitjeva EV, Pitjev NP (2012) Changes in the Sun's mass and gravitational constant estimated using modern observations of planets and spacecraft. Sol Syst Res 46(1):78-87. https://doi.org/10.1134/S0038094612010054. arXiv:1108.0246

Pitjeva EV, Pitjev NP (2013) Relativistic effects and dark matter in the Solar system from observations of planets and spacecraft. Mon Not R Astron Soc 432:3431-3437. https://doi.org/10.1093/MonNotR.Astron.Soc/stt695. arXiv:1306.3043

Pitjeva EV, Pitjev NP (2014) Development of planetary ephemerides EPM and their applications. Celest Mech Dyn Astron 119(3-4):237-256. https://doi.org/10.1007/s10569-014-9569-0

Pitjeva EV, Pitjev NP (2018) Mass of the Kuiper belt. Celest Mech Dyn Astron 130(9):57. https://doi.org/10.1007/s10569-018-9853-5. arXiv:1810.09771

Pitjeva EV, Pitjev NP (2020) Masses of the Trojan groups of Jupiter. Astron Lett 45(12):855-860. https://doi.org/10.1134/S1063773719120041

Pitjeva EV, Pitjev NP, Pavlov DA, Turygin CC (2021) Estimates of the change rate of solar mass and gravitational constant based on the dynamics of the Solar system. Astron Astrophys 647:A141. https://doi.org/10.1051/0004-6361/202039893. arXiv:2201.09804

Press WH, Spergel DN (1985) Capture by the sun of a galactic population of weakly interacting, massive particles. ApJ 296:679-684. https://doi.org/10.1086/163485

Proca A (1936) Sur la théorie ondulatoire des électrons positifs et négatifs. J Phys Radium 7(7):347-353

Rosenband T, Hume DB, Schmidt PO, Chou CW, Brusch A, Lorini L, Oskay WH, Drullinger RE, Fortier TM, Stalnaker JE, Diddams SA, Swann WC, Newbury NR, Itano WM, Wineland DJ, Bergquist JC (2008) Frequency ratio of Al⁺ and Hg⁺ single-ion optical clocks; metrology at the 17th decimal place. Science 319:1808. https://doi.org/10.1126/science.1154622

Sereno M, Jetzer P (2006) Dark matter versus modifications of the gravitational inverse-square law: results from planetary motion in the Solar system. Mon Not R Astron Soc 371(2):626-632. https://doi.org/10.1111/j.1365-2966.2006.10670.x. arXiv:astro-ph/0606197

Shapiro II (1964) Fourth test of general relativity. Phys Rev Lett 13:789-791. https://doi.org/10.1103/PhysRevLett.13.789

Sharma J, Ratanpal BS, Pirzada UM, Shah V (2016) Motion of satellite under the effect of oblateness of earth and atmospheric drag. arXiv e-prints. https://doi.org/10.48550/arXiv.1610.02156. arXiv:1610.02156

Skordis C, Złośnik T (2021) New relativistic theory for modified Newtonian dynamics. Phys Rev Lett 127:161302. https://doi.org/10.1103/PhysRevLett.127.161302

Smith DE, Zuber MT, Mazarico E, Genova A, Neumann GA, Sun X, Torrence MH, Mao Dd (2018) Trilogy, a planetary geodesy mission concept for measuring the expansion of the solar system. Planet Space Sci 153:127-133. https://doi.org/10.1016/j.pss.2018.02.003

Soffel M (2003) The IAU 2000 resolutions for astrometry, celestial mechanics, and metrology in the relativistic framework: explanatory supplement. Astron J 126:2686-2706

Stairs IH (2003) Testing general relativity with pulsar timing. Living Rev Relat 6(1):4. https://doi.org/10.12942/lrr-2003-5
Pavlov D (2020) Role of lunar laser ranging in realization of terrestrial, lunar, and ephemeris reference frames. J Geodesy 94(1):5. https://doi.org/10.1007/s00190-019-01333-y

Petit G, Luzum B (2010) IERS conventions (2010). IERS Tech Note 36:1

Pijpers FP (1998) Helioseismic determination of the solar gravitational quadrupole moment. Mon Not R Astron Soc 297(3):L76-L80. https://doi.org/10.1046/j.1365-8711.1998.01801.x. arXiv:astro-ph/9804258

Pinto RF, Brun AS, Jouve L, Grappin R (2011) Coupling the Solar dynamo and the Corona: wind properties, mass, and momentum losses during an activity cycle. Astrophys J 737:72. https://doi.org/10.1088/0004-637X/737/2/72. arXiv:1106.0882

Pitjeva EV (1993) Experimental testing of relativistic effects, variability of the gravitational constant and topography of Mercury surface from radar observations 1964 1989. Celest Mech Dyn Astron 55 (4):313-321. https://doi.org/10.1007/BF00692991

Pitjeva EV (2001) Modern numerical ephemerides of planets and the importance of ranging observations for their creation. Celest Mech Dyn Astron 80:249-271. https://doi.org/10.1023/A:1012289530641

Pitjeva EV (2005) High-precision ephemerides of planets: EPM and determination of some astronomical constants. Sol Syst Res 39(3):176-186. https://doi.org/10.1007/s11208-005-0033-2

Pitjeva EV (2005) Relativistic effects and solar oblateness from radar observations of planets and spacecraft. Astron Lett 31(5):340-349. https://doi.org/10.1134/1.1922533

Pitjeva EV, Pitjev NP (2012) Changes in the Sun's mass and gravitational constant estimated using modern observations of planets and spacecraft. Sol Syst Res 46(1):78-87. https://doi.org/10.1134/S0038094612010054. arXiv:1108.0246

Pitjeva EV, Pitjev NP (2013) Relativistic effects and dark matter in the Solar system from observations of planets and spacecraft. Mon Not R Astron Soc 432:3431-3437. https://doi.org/10.1093/MonNotR.Astron.Soc/stt695. arXiv:1306.3043

Pitjeva EV, Pitjev NP (2014) Development of planetary ephemerides EPM and their applications. Celest Mech Dyn Astron 119(3-4):237-256. https://doi.org/10.1007/s10569-014-9569-0

Pitjeva EV, Pitjev NP (2018) Mass of the Kuiper belt. Celest Mech Dyn Astron 130(9):57. https://doi.org/10.1007/s10569-018-9853-5. arXiv:1810.09771

Pitjeva EV, Pitjev NP (2020) Masses of the Trojan groups of Jupiter. Astron Lett 45(12):855-860. https://doi.org/10.1134/S1063773719120041

Pitjeva EV, Pitjev NP, Pavlov DA, Turygin CC (2021) Estimates of the change rate of solar mass and gravitational constant based on the dynamics of the Solar system. Astron Astrophys 647:A141. https://doi.org/10.1051/0004-6361/202039893. arXiv:2201.09804

Press WH, Spergel DN (1985) Capture by the sun of a galactic population of weakly interacting, massive particles. ApJ 296:679-684. https://doi.org/10.1086/163485

Proca A (1936) Sur la théorie ondulatoire des électrons positifs et négatifs. J Phys Radium 7(7):347-353

Rosenband T, Hume DB, Schmidt PO, Chou CW, Brusch A, Lorini L, Oskay WH, Drullinger RE, Fortier TM, Stalnaker JE, Diddams SA, Swann WC, Newbury NR, Itano WM, Wineland DJ, Bergquist JC (2008) Frequency ratio of Al⁺ and Hg⁺ single-ion optical clocks; metrology at the 17th decimal place. Science 319:1808. https://doi.org/10.1126/science.1154622

Sereno M, Jetzer P (2006) Dark matter versus modifications of the gravitational inverse-square law: results from planetary motion in the Solar system. Mon Not R Astron Soc 371(2):626-632. https://doi.org/10.1111/j.1365-2966.2006.10670.x. arXiv:astro-ph/0606197

Shapiro II (1964) Fourth test of general relativity. Phys Rev Lett 13:789-791. https://doi.org/10.1103/PhysRevLett.13.789

Sharma J, Ratanpal BS, Pirzada UM, Shah V (2016) Motion of satellite under the effect of oblateness of earth and atmospheric drag. arXiv e-prints. https://doi.org/10.48550/arXiv.1610.02156. arXiv:1610.02156

Skordis C, Złośnik T (2021) New relativistic theory for modified Newtonian dynamics. Phys Rev Lett 127:161302. https://doi.org/10.1103/PhysRevLett.127.161302

Smith DE, Zuber MT, Mazarico E, Genova A, Neumann GA, Sun X, Torrence MH, Mao Dd (2018) Trilogy, a planetary geodesy mission concept for measuring the expansion of the solar system. Planet Space Sci 153:127-133. https://doi.org/10.1016/j.pss.2018.02.003

Soffel M (2003) The IAU 2000 resolutions for astrometry, celestial mechanics, and metrology in the relativistic framework: explanatory supplement. Astron J 126:2686-2706

Stairs IH (2003) Testing general relativity with pulsar timing. Living Rev Relat 6(1):4. https://doi.org/10.12942/lrr-2003-5
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Standish JEM (1995) Planetary ephemerides DE403. Tech. Rep. 314.10-127. JPL, Pasadena

Standish JEM (1998a) JPL planetary and lunar ephemerides DE405. JPL Interoffice Memorandum IOM 312.F-98-048

Standish JEM (1998b) Linking the dynamical reference frame to the ICRF. Highl Astron 11:310

Standish JEM (2001) The JPL DE405 planetary and lunar ephemerides. JPL, Pasadena

Standish JEM (2010) Testing alternate gravitational theories. In: Klioner SA, Seidelmann PK, Soffel MH (eds) Relativity in fundamental astronomy: dynamics, reference frames, and data analysis, IAU Symposium, vol 261. Cambridge University Press, USA, pp 179–182. https://doi.org/10.1017/S1743921309990354

Standish JEM, Keesey MSW, Newhall XX (1976) JPL development ephemeris 96. Tech. Rep. 32-1603. JPL, Pasadena

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Standish JEM (1995) Planetary ephemerides DE403. Tech. Rep. 314.10-127. JPL, Pasadena

Standish JEM (1998a) JPL planetary and lunar ephemerides DE405. JPL Interoffice Memorandum IOM 312.F-98-048

Standish JEM (1998b) Linking the dynamical reference frame to the ICRF. Highl Astron 11:310

Standish JEM (2001) The JPL DE405 planetary and lunar ephemerides. JPL, Pasadena

Standish JEM (2010) Testing alternate gravitational theories. In: Klioner SA, Seidelmann PK, Soffel MH (eds) Relativity in fundamental astronomy: dynamics, reference frames, and data analysis, IAU Symposium, vol 261. Cambridge University Press, USA, pp 179–182. https://doi.org/10.1017/S1743921309990354

Standish JEM, Keesey MSW, Newhall XX (1976) JPL development ephemeris 96. Tech. Rep. 32-1603. JPL, Pasadena

Standish JEM (1990) The observational basis for JPL's DE 200, the planetary ephemerides of the astronomical almanac. Astron Astrophys 233:252–271

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**Publisher's Note** Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Viswanathan V, Fienga A, Gastineau M, Laskar J (2017) INPOP17a planetary ephemerides. Notes Sci Tech Inst Mec Celest 108

Voisin G, Cognard I, Freire PCC, Wex N, Guillemot L, Desvignes G, Kramer M, Theureau G (2020) An improved test of the strong equivalence principle with the pulsar in a triple star system. Astron Astrophys 638:A24. https://doi.org/10.1051/0004-6361/202038104

Wagoner RV (1970) Scalar-tensor theory and gravitational waves. Phys Rev D 1(12):3209-3216. https://doi.org/10.1103/PhysRevD.1.3209

Wald RM (1984) General relativity. The University of Chicago Press

Wardana MD, Wulandari H, Khatami AH (2020) Determination of the local dark matter density using K-dwarfs from Gaia DR2. EPJ Web Conf 240:04002. https://doi.org/10.1051/epjconf/202024004002

Weber M, de Boer W (2010) Determination of the local dark matter density in our galaxy. Astron Astrophys 509:A25. https://doi.org/10.1051/0004-6361/200913381

Will CM (2018a) Solar system versus gravitational-wave bounds on the graviton mass. Class Quantum Grav 35(17):17LT01. https://doi.org/10.1088/1361-6382/aad13c

Will CM (2018b) Theory and experiment in gravitational physics, 2nd edn. Cambridge University Press. https://doi.org/10.1017/9781316338612

Will CM (1998) Bounding the mass of the graviton using gravitational-wave observations of inspiralling compact binaries. Phys Rev D 57(4):2061-2068. https://doi.org/10.1103/PhysRevD.57.2061. arXiv: gr-qc/9709011

Will CM (2014) The confrontation between general relativity and experiment. Living Rev Relat 17(1):4. https://doi.org/10.12942/lrr-2014-4. arXiv:1403.7377

Will CM (2018) New general relativistic contribution to Mercury's perihelion advance. Phys Rev Lett 120 (19):191101. https://doi.org/10.1103/PhysRevLett.120.191101. arXiv:1802.05304

Williams JG (1984) Determining asteroid masses from perturbations on Mars. Icarus 57:1-13. https://doi.org/10.1016/0019-1035(84)90002-2

Williams JG, Turyshev SG, Boggs DH (2012) Lunar laser ranging tests of the equivalence principle. Class Quantum Grav 29(18):184004. https://doi.org/10.1088/0264-9381/29/18/184004. arXiv:1203.2150

Zhu WW, Desvignes G, Wex N, Caballero RN, Champion DJ, Demorest PB, Ellis JA, Janssen GH, Kramer M, Krieger A, Lentati L, Nice DJ, Ransom SM, Stairs IH, Stappers BW, Verbiest JPW, Arzoumanian Z, Bassa CG, Burgay M, Cognard I, Crowter K, Dolch T, Ferdman RD, Fonseca E, Gonzalez ME, Graikou E, Guillemot L, Hessels JWT, Jessner A, Jones G, Jones ML, Jordan C, Karuppusamy R, Lam MT, Lazaridis K, Lazarus P, Lee KJ, Levin L, Liu K, Lyne AG, McKee JW, McLaughlin MA, Osłowski S, Pennucci T, Perrodin D, Possenti A, Sanidas S, Shaifullah G, Smits R, Stovall K, Swiggum J, Theureau G, Tiburzi C (2018) Tests of gravitational symmetries with pulsar binary J1713+0747. Mon Not R Astron Soc 482(3):3249-3260. https://doi.org/10.1093/mnras/sty2905

Zhu WW, Stairs IH, Demorest PB, Nice DJ, Ellis JA, Ransom SM, Arzoumanian Z, Crowter K, Dolch T, Ferdman RD, Fonseca E, Gonzalez ME, Jones G, Jones ML, Lam MT, Levin L, McLaughlin MA, Pennucci T, Stovall K, Swiggum J (2015) Testing theories of gravitation using 21-year timing of pulsar binary J1713+0747. ApJ 809(1):41. https://doi.org/10.1088/0004-637X/809/1/41. arXiv:1504.00662

Zschocke S (2016) Light propagation in the gravitational field of one arbitrarily moving pointlike body in the 2PN approximation. Phys Rev D 94:124007. https://doi.org/10.1103/PhysRevD.94.124007

Zschocke S (2022) Light propagation in 2PN approximation in the monopole and quadrupole field of a body at rest: initial value problem. Phys Rev D 105(2):024040. https://doi.org/10.1103/PhysRevD.105.024040. arXiv:2201.06296

**Publisher's Note** Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.