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1

Beloto, Ingrid, Eduardo Cypriano, and Martin Makler. "Spectroscopic determination of velocity dispersion lens galaxies and their impact on the measurement of the post-Newtonian parameter." Cadernos de Astronomia 5, Especial (2024): 60–66. http://dx.doi.org/10.47456/cad.astro.v5nespecial.44957.

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Este estudo se dedica a realizar medições precisas da dispersão de velocidades das galáxias lentes, utilizando dados obtidos pelo telescópio SOuthern Astrophysical Research (SOAR) durante o ano de 2022. A partir da análise de 10 espectros de galáxias, obtivemos estimativas fundamentais das suas dispersões de velocidade. Este trabalho oferece medições cruciais que serão utilizadas em colaboração com pesquisadores do Centro Brasileiro de Pesquisas Físicas para inferir o parâmetro pós-Newtoniano γ. Esta parceria visa aprimorar a precisão das futuras estimativas desse parâmetro, contribuindo signi
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2

Fuentes, Benjamín M., Marcela A. Cruchaga, and Jonathan R. Núñez. "Estudio de la Socavación Producida por el Derrame de una Columna de Agua." Resúmenes de Mecánica Computacional 1, no. 13 (2024): 133. https://doi.org/10.70567/rmc.v1i13.191.

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Se presenta un estudio experimental y numérico de la profundidad de socavación de arena gruesa generado por la ruptura de una columna de agua. Se consideran dos relaciones de aspecto en la altura de la columna de agua para evaluar cómo los parámetros de operación afectan la evolución de la superficie libre (interfaz agua-aire) y la erosión de la arena (interfaz agua-arena). Los experimentos se registran en videos de los cuales se obtienen la velocidad de apertura de la compuerta, evolución de la superficie libre y las profundidades de socavación mediante post-procesamiento de imágenes. Para la
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3

De Laurentis, Mariafelicia, та Antonio Jesus Lopez-Revelles. "Newtonian, Post-Newtonian and Parametrized Post-Newtonian limits of f(R, 𝒢) gravity". International Journal of Geometric Methods in Modern Physics 11, № 10 (2014): 1450082. http://dx.doi.org/10.1142/s0219887814500820.

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We discuss in detail the weak field limit of f(R, 𝒢) gravity taking into account analytic functions of the Ricci scalar R and the Gauss–Bonnet invariant 𝒢. Specifically, we develop, in metric formalism, the Newtonian, Post-Newtonian (PN) and Parametrized Post-Newtonian (PPN) limits starting from general f(R, 𝒢) Lagrangian. The special cases of f(R) and f(𝒢) gravities are considered. In the case of the Newtonian limit of f(R, 𝒢) gravity, a general solution in terms of Green's functions is achieved.
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4

Nazari, Elham, and Mahmood Roshan. "Post-Newtonian Magnetohydrodynamics." Astrophysical Journal 868, no. 2 (2018): 98. http://dx.doi.org/10.3847/1538-4357/aaeb25.

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5

Szekeres, Peter, and Tamath Rainsford. "Post-Newtonian Cosmology." General Relativity and Gravitation 32, no. 3 (2000): 479–90. http://dx.doi.org/10.1023/a:1001976317159.

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6

Pascual-Sánchez, J. F., A. San Miguel, and F. Vicente. "Relativistic versus Newtonian Frames." Positioning 04, no. 01 (2013): 109–14. http://dx.doi.org/10.4236/pos.2013.41011.

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7

Kremer, Gilberto M. "Post-Newtonian kinetic theory." Annals of Physics 426 (March 2021): 168400. http://dx.doi.org/10.1016/j.aop.2021.168400.

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8

Sanghai, Viraj A. A., and Timothy Clifton. "Parameterized post-Newtonian cosmology." Classical and Quantum Gravity 34, no. 6 (2017): 065003. http://dx.doi.org/10.1088/1361-6382/aa5d75.

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9

Asfour, Amal. "Hogarth's Post-Newtonian Universe." Journal of the History of Ideas 60, no. 4 (1999): 693–716. http://dx.doi.org/10.1353/jhi.1999.0032.

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10

Nazari, Elham, Ali Kazemi, Mahmood Roshan, and Shahram Abbassi. "Post-Newtonian Jeans Analysis." Astrophysical Journal 839, no. 2 (2017): 75. http://dx.doi.org/10.3847/1538-4357/aa68e0.

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11

Blanchet, L., T. Damour, and G. Schaefer. "Post-Newtonian hydrodynamics and post-Newtonian gravitational wave generation for numerical relativity." Monthly Notices of the Royal Astronomical Society 242, no. 3 (1990): 289–305. http://dx.doi.org/10.1093/mnras/242.3.289.

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12

Szekeres, Peter. "Newtonian and Post-Newtonian Limits of Relativistic Cosmology." General Relativity and Gravitation 32, no. 6 (2000): 1025–39. http://dx.doi.org/10.1023/a:1001965526092.

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13

Hwang, Jai-chan, and Hyerim Noh. "Newtonian, Post-Newtonian and Relativistic Cosmological Perturbation Theory." Nuclear Physics B - Proceedings Supplements 246-247 (January 2014): 191–95. http://dx.doi.org/10.1016/j.nuclphysbps.2013.10.085.

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14

Gambi, J. M., M. C. Rodríguez-Teijeiro, and M. L. García del Pino. "Newtonian and post-Newtonian passive Geolocation by TDOA." Aerospace Science and Technology 51 (April 2016): 18–25. http://dx.doi.org/10.1016/j.ast.2016.01.016.

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15

Hwang, Jai-chan, and Hyerim Noh. "Magnetohydrodynamics with Post-Newtonian Corrections." Astrophysical Journal 899, no. 1 (2020): 59. http://dx.doi.org/10.3847/1538-4357/ab9ff9.

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16

Asada, Hideki, and Toshifumi Futamase. "Chapter 2. Post-Newtonian Approximation." Progress of Theoretical Physics Supplement 128 (1997): 123–81. http://dx.doi.org/10.1143/ptps.128.123.

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17

Calura, Mirco, Pierluigi Fortini, and Enrico Montanari. "Post-Newtonian Lagrangian planetary equations." Physical Review D 56, no. 8 (1997): 4782–88. http://dx.doi.org/10.1103/physrevd.56.4782.

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18

Lisbôa, A. F. Steklain, and P. S. Letelier. "The Post-Newtonian Hill Problem." Journal of Physics: Conference Series 490 (March 11, 2014): 012156. http://dx.doi.org/10.1088/1742-6596/490/1/012156.

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19

Krisher, Timothy P. "Parametrized post-Newtonian gravitational redshift." Physical Review D 48, no. 10 (1993): 4639–44. http://dx.doi.org/10.1103/physrevd.48.4639.

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20

Aarseth, S. J. "Post-Newtonian N-body simulations." Monthly Notices of the Royal Astronomical Society 378, no. 1 (2007): 285–92. http://dx.doi.org/10.1111/j.1365-2966.2007.11774.x.

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21

Roshan, Mahmood. "Parametrized post-Newtonian virial theorem." Classical and Quantum Gravity 29, no. 21 (2012): 215001. http://dx.doi.org/10.1088/0264-9381/29/21/215001.

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22

Ayal, S., T. Piran, R. Oechslin, M. B. Davies, and S. Rosswog. "Post‐Newtonian Smoothed Particle Hydrodynamics." Astrophysical Journal 550, no. 2 (2001): 846–59. http://dx.doi.org/10.1086/319769.

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23

Jones, Christopher B. "Post-Newtonian paradigm or bust!" Futures 25, no. 10 (1993): 1085–88. http://dx.doi.org/10.1016/0016-3287(93)90079-9.

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24

Kremer, Gilberto Medeiros. "Post-Newtonian Jeans Equation for Stationary and Spherically Symmetrical Self-Gravitating Systems." Universe 8, no. 3 (2022): 179. http://dx.doi.org/10.3390/universe8030179.

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The post-Newtonian Jeans equation for stationary self-gravitating systems is derived from the post-Newtonian Boltzmann equation in spherical coordinates. The Jeans equation is coupled with the three Poisson equations from the post-Newtonian theory. The Poisson equations are functions of the energy-momentum tensor components which are determined from the post-Newtonian Maxwell–Jüttner distribution function. As an application, the effect of a central massive black hole on the velocity dispersion profile of the host galaxy is investigated and the influence of the post-Newtonian corrections are de
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25

Dionysiou, D. D., E. N. Sarris, P. G. Tsikouras, and G. A. Papadopoulos. "Newtonian and post-newtonian tidal theory: Variable G and earthquakes." Earth, Moon, and Planets 60, no. 2 (1993): 127–40. http://dx.doi.org/10.1007/bf00614379.

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26

Nordtvedt, Ken. "Second post-Newtonian order renormalization of first post-Newtonian order gravity in the solar system." Astrophysical Journal 407 (April 1993): 758. http://dx.doi.org/10.1086/172558.

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27

Gonzalez-Espinoza, Manuel, Giovanni Otalora, Lucila Kraiselburd, and Susana Landau. "Parametrized post-Newtonian formalism in higher-order Teleparallel Gravity." Journal of Cosmology and Astroparticle Physics 2022, no. 05 (2022): 010. http://dx.doi.org/10.1088/1475-7516/2022/05/010.

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Abstract We study the parametrized post-Newtonian (PPN) limit of higher-derivative-torsion Modified Teleparallel Gravity. We start from the covariant formulation of modified Teleparallel Gravity by restoring the spin connection of the theory. Then, we perform the post-Newtonian expansion of the tetrad field around the Minkowski background and find the perturbed field equations. We compute the PPN metric for the higher-order Teleparallel Gravity theories which allows us to show that at the post-Newtonian limit this more general class of theories are fully conservative and indistinguishable from
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28

Kremer, Gilberto M. "Post-Newtonian non-equilibrium kinetic theory." Annals of Physics 441 (June 2022): 168865. http://dx.doi.org/10.1016/j.aop.2022.168865.

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29

Avilez-Lopez, A., A. Padilla, Paul M. Saffin, and C. Skordis. "The Parametrized Post-Newtonian-Vainshteinian formalism." Journal of Cosmology and Astroparticle Physics 2015, no. 06 (2015): 044. http://dx.doi.org/10.1088/1475-7516/2015/06/044.

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30

Kazemi, Ali, Mahmood Roshan, and Elham Nazari. "Post-Newtonian Corrections to Toomre's Criterion." Astrophysical Journal 865, no. 1 (2018): 71. http://dx.doi.org/10.3847/1538-4357/aadbaf.

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31

Santoro, F., L. Neira, D. Ibaceta, and R. Aquilano. "Post-newtonian approximation and collapsed stars." Astronomical & Astrophysical Transactions 17, no. 1 (1998): 77–81. http://dx.doi.org/10.1080/10556799808235427.

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32

Blanchet, Luc. "Post-Newtonian Expansion of Gravitational Radiation." Progress of Theoretical Physics Supplement 136 (1999): 146–57. http://dx.doi.org/10.1143/ptps.136.146.

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33

Frisch, David H. "Simple aspects of post‐Newtonian gravitation." American Journal of Physics 58, no. 4 (1990): 332–37. http://dx.doi.org/10.1119/1.16165.

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34

Denisov, V. L., and M. I. Denisov. "Generalization of the post-Newtonian formalism." Theoretical and Mathematical Physics 91, no. 3 (1992): 677–82. http://dx.doi.org/10.1007/bf01017345.

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35

Zet, G., and V. Manta. "Post-Newtonian estimation in relativistic optics." International Journal of Theoretical Physics 32, no. 6 (1993): 1013–20. http://dx.doi.org/10.1007/bf01215307.

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36

Oliynyk, Todd A. "Post-Newtonian Expansions for Perfect Fluids." Communications in Mathematical Physics 288, no. 3 (2009): 847–86. http://dx.doi.org/10.1007/s00220-009-0738-z.

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37

Bini, Donato, Paolo Carini, Robert T. Jantzen, and Daniel Wilkins. "Thomas precession in post-Newtonian gravitoelectromagnetism." Physical Review D 49, no. 6 (1994): 2820–27. http://dx.doi.org/10.1103/physrevd.49.2820.

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38

Benacquista, Matthew J. "Second-order parametrized-post-Newtonian Lagrangian." Physical Review D 45, no. 4 (1992): 1163–73. http://dx.doi.org/10.1103/physrevd.45.1163.

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39

Cho, H. T. "Post-Newtonian approximation for spinning particles." Classical and Quantum Gravity 15, no. 8 (1998): 2465–78. http://dx.doi.org/10.1088/0264-9381/15/8/022.

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40

Schastok, J., M. Soffel, H. Ruder, and M. Schneider. "The post - Newtonian rotation of Earth: a first approach." Symposium - International Astronomical Union 128 (1988): 341–47. http://dx.doi.org/10.1017/s0074180900119709.

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The problems of dynamics of extended bodies in metric theories of gravity are reviewed. In a first approach towards the relativistic description of the Earth's rotational motion the post - Newtonian treatment of the free precession of a pseudo - rigid and axially symmetric model Earth is presented. Definitions of angular momentum, pseudo - rigidity, the corotating frame, tensor of inertia and axial symmetry of the rotating body are based upon the choice of the standard post - Newtonian (PN) coordinates and the full PN energy momentum complex. In this framework, the relation between angular mom
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41

Keck, John W. "The Natural Motion of Matter in Newtonian and Post-Newtonian Physics." Thomist: A Speculative Quarterly Review 71, no. 4 (2007): 529–54. http://dx.doi.org/10.1353/tho.2007.0001.

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42

Sharif, M., and H. Rizwana Kausar. "Newtonian and post Newtonian expansionfree fluid evolution in f(R) gravity." Astrophysics and Space Science 337, no. 2 (2011): 805–13. http://dx.doi.org/10.1007/s10509-011-0863-y.

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43

Brans, Carl H. "Gravity: Newtonian, Post-Newtonian, RelativisticGravity: Newtonian, Post-Newtonian, Relativistic. EricPoisson Clifford M.Will794 pp. Cambridge U. P., Cambridge, 2014. Price: $85.00 (hardcover). ISBN 978-1-107-03286." American Journal of Physics 83, no. 9 (2015): 823. http://dx.doi.org/10.1119/1.4917313.

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44

Nazari, Elham, Samik Mitra, Shahram Abbassi, and Santabrata Das. "Accretion flows around spinning compact objects in the post-Newtonian regime." Journal of Cosmology and Astroparticle Physics 2024, no. 05 (2024): 117. http://dx.doi.org/10.1088/1475-7516/2024/05/117.

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Abstract We present the structure of a low angular momentum accretion flows around rotating compact objects incorporating relativistic corrections up to the leading post-Newtonian order. To begin with, we formulate the governing post-Newtonian hydrodynamic equations for the mass and energy-momentum flux without imposing any symmetries. However, for the sake of simplicity, we consider the flow to be stationary, axisymmetric, and inviscid. Toward this, we adapt the polytropic equation of state (EoS) and analyze the vertically integrated accretion flow confined to the equatorial plane. It is show
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45

Wanex, Lucas F. "Chaotic Amplification in the Relativistic Restricted Three-body Problem." Zeitschrift für Naturforschung A 58, no. 1 (2003): 13–22. http://dx.doi.org/10.1515/zna-2003-0102.

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The relativistic equations of motion for the restricted three-body problem are derived in the first post-Newtonian approximation. These equations are integrated numerically for seven different trajectories in the earth-moon orbital system. Four of the trajectories are determined to be chaotic and three are not chaotic. Each post-Newtonian trajectory is compared to its Newtonian counterpart. It is found that the difference between Newtonian and post-Newtonian trajectories for the restricted three-body problem is greater for chaotic trajectories than it is for trajectories that are not chaotic.
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46

Kremer, Gilberto M. "Analysis of Self-Gravitating Fluid Instabilities from the Post-Newtonian Boltzmann Equation." Entropy 26, no. 3 (2024): 246. http://dx.doi.org/10.3390/e26030246.

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Self-gravitating fluid instabilities are analysed within the framework of a post-Newtonian Boltzmann equation coupled with the Poisson equations for the gravitational potentials of the post-Newtonian theory. The Poisson equations are determined from the knowledge of the energy–momentum tensor calculated from a post-Newtonian Maxwell–Jüttner distribution function. The one-particle distribution function and the gravitational potentials are perturbed from their background states, and the perturbations are represented by plane waves characterised by a wave number vector and time-dependent small am
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47

Marquina, José E. "Euler y la Mecánica." Revista Mexicana de Física E 65, no. 1 (2019): 77. http://dx.doi.org/10.31349/revmexfise.65.77.

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En este trabajo se presentan las principales aportaciones de Leonhard Euler a la mecánica, que van desde la invaluable transcripción de la mecánica newtoniana al lenguaje del cálculo diferencial e integral, hasta su peculiar interpretación, en términos de la impenetrabilidad, de la Tercera Ley de Newton, pasando por su profunda valoración del concepto de inercia y su aportación relativa a plantear la Segunda Ley de Newton en coordenadas cartesianas. In this work it is presented the Leonhard Euler more important contributions to mechanics, from the invaluable transcriptions of the newtonian mec
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48

Cheng, Xu-Hui, and Guo-Qing Huang. "A Comparison between Second-Order Post-Newtonian Hamiltonian and Coherent Post-Newtonian Lagrangian in Spinning Compact Binaries." Symmetry 13, no. 4 (2021): 584. http://dx.doi.org/10.3390/sym13040584.

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In relativistic celestial mechanics, post-Newtonian (PN) Lagrangian and PN Hamiltonian formulations are not equivalent to the same PN order as our previous work in PRD (2015). Usually, an approximate Lagrangian is used to discuss the difference between a PN Hamiltonian and a PN Lagrangian. In this paper, we investigate the dynamics of compact binary systems for Hamiltonians and Lagrangians, including Newtonian, post-Newtonian (1PN and 2PN), and spin–orbit coupling and spin–spin coupling parts. Additionally, coherent equations of motion for 2PN Lagrangian are adopted here to make the comparison
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49

Fukushima, T. "Post-Newtonian treatise on the rotational motion of a finite body." Symposium - International Astronomical Union 114 (1986): 35–40. http://dx.doi.org/10.1017/s0074180900147953.

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The definition of the angular momentum of a finite body is given in the post-Newtonian framework. The non-rotating and the rigidly rotating proper reference frame(PRF)s attached to the body are introduced as the basic coordinate systems. The rigid body in the post-Newtonian framework is defined as the body resting in a rigidly rotating PRF of the body. The feasibility of this rigidity is assured by assuming suitable functional forms of the density and the stress tensor of the body. The evaluation of the time variation of the angular momentum in the above two coordinate systems leads to the pos
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50

Feldbacher-Escamilla, Christian J. "Newtons Methodologie: Eine Kritik an Duhem, Feyerabend und Lakatos." Archiv für Geschichte der Philosophie 101, no. 4 (2019): 584–615. http://dx.doi.org/10.1515/agph-2019-4004.

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Abstract The Newtonian research program consists of the core axioms of the Principia Mathematica, a sequence of force laws and auxiliary hypotheses, and a set of methodological rules. The latter underwent several changes and so it is sometimes claimed that, historically seen, Newton and the Newtonians added methodological rules post constructione in order to further support their research agenda. An argument of Duhem, Feyerabend, and Lakatos aims to provide a theoretical reason why Newton could not have come up with his theory of the Principia in accordance with his own methodology: Since Newt
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