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Journal articles on the topic 'Precession; Mercury; planets'

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Published: 3 June 2025
Last updated: 31 July 2025

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1

Kundu, Jayashree, Rakesh Kumar Mandal, and Tamal Sarkar. "Development of Computational Code to Estimate the Non-Relativistic Contribution to Mercury’s Perihelion Precession." Journal of Physics: Conference Series 2919, no. 1 (2024): 012043. https://doi.org/10.1088/1742-6596/2919/1/012043.

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Abstract The Sun’s gravitational field confines the solar system, our eight known planets, and dwarf planets. This gravitational pull of the Sun and other planets causes Mercury, the nearest planet to the Sun, having the highest orbital precession among all other planets in the Solar system, to follow a new path slightly preces than its normal one. This paper studies Mercury’s orbit by developing an algorithm to determine the nonrelativistic contribution to Mercury’s perihelion precession per century. To create this, we have considered Newton’s Law of Gravitation, Kepler’s Law of Planetary Mot
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2

Amel’kin, N. I. "The precession of Mercury’s orbit." Доклады Академии наук 489, no. 6 (2019): 570–75. http://dx.doi.org/10.31857/s0869-56524896570-575.

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Within the framework of classical mechanics the influence of the planets in the solar system to the precession of the orbit of Mercury is investigated. It is shown that the average offset of the perihelion of mercurys orbit computed within the flat limited tasks is 556,5 angular seconds per century and coincides with the observation data with relative accuracy of 2,5%. Incomplete overlap between the computed average offset and observations can be explained by the presence in observations offset oscillatory components with a total amplitude up to 20 angular seconds and periods from several year
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3

Iorio, Lorenzo. "Solar System Motions and the Cosmological Constant:cmd="newline"A New Approach." Advances in Astronomy 2008 (2008): 1–5. http://dx.doi.org/10.1155/2008/268647.

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We use the corrections to the Newton-Einstein secular precessions of the longitudes of perihelia of some planets (Mercury, Earth, Mars, Jupiter, Saturn) of the Solar System, phenomenologically estimated as solve-for parameters by the Russian astronomer E. V. Pitjeva in a global fit of almost one century of data with the EPM2004 ephemerides, in order to put on the test the expression for the perihelion precession induced by a uniform cosmological constant in the framework of the Schwarzschild-de Sitter (or Kottler) space-time. We compare such an extra rate to the estimated corrections to the pl
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4

Lixin, Yuan. "On the Unification of the Precession of the Foucault Pendulum, the Earth’s “Precession” and the Mercury Precession by Constructing the Vortex Gravitational Mechanism." Applied Science and Innovative Research 6, no. 4 (2022): p21. http://dx.doi.org/10.22158/asir.v6n4p21.

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Gravitation is generated between static objects, while vortex gravity is generated between moving objects. Forming the integrity and completeness of gravity theory, these complement each other. The vortex gravity mechanism of moving objects is established to solve the objective problem of vortex gravity. The precession of Foucault’s pendulum, the precession of the Earth and the precession of Mercury are objective phenomena, for which there are many different explanations. The author suggests, only by the mechanism of vortex gravity can reveal their operation law and unity of operation. Through
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5

IORIO, L., and M. L. RUGGIERO. "PHENOMENOLOGICAL CONSTRAINTS ON THE KEHAGIAS–SFETSOS SOLUTION IN THE HOŘAVA–LIFSHITZ GRAVITY FROM SOLAR SYSTEM ORBITAL MOTIONS." International Journal of Modern Physics A 25, no. 29 (2010): 5399–408. http://dx.doi.org/10.1142/s0217751x10050780.

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We focus on Hořava–Lifshitz (HL) theory of gravity, and, in particular, on the Kehagias and Sfetsos's solution that is the analog of Schwarzschild black hole of General Relativity. In the weak-field and slow-motion approximation, we analytically work out the secular precession of the longitude of the pericentre ϖ of a test particle induced by this solution. Its analytical form is different from that of the general relativistic Einstein's pericentre precession. Then, we compare it to the latest determinations of the corrections [Formula: see text] to the standard Newtonian/Einsteinian planetary
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6

Jordán, Andrés, and Gáspár Á. Bakos. "Observability of the General Relativistic Precession of Periastra in Exoplanets." Proceedings of the International Astronomical Union 4, S253 (2008): 492–95. http://dx.doi.org/10.1017/s1743921308027026.

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AbstractThe general relativistic precession rate of periastra in close-in exoplanets can be orders of magnitude larger than the magnitude of the same effect for Mercury. The realization that some of the close-in exoplanets have significant eccentricities raises the possibility that this precession might be detectable. We explore here the observability of the periastra precession using radial velocity and transit light curve observations. Our analysis is independent of the source of precession, which can also have significant contributions due to additional planets and tidal deformations. We fi
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7

Iorio, Lorenzo. "Frame-Dragging in Extrasolar Circumbinary Planetary Systems." Universe 8, no. 10 (2022): 546. http://dx.doi.org/10.3390/universe8100546.

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Extrasolar circumbinary planets are so called because they orbit two stars instead of just one; to date, an increasing number of such planets have been discovered with a variety of techniques. If the orbital frequency of the hosting stellar pair is much higher than the planetary one, the tight stellar binary can be considered as a matter ring current generating its own post-Newtonian stationary gravitomagnetic field through its orbital angular momentum. It affects the orbital motion of a relatively distant planet with Lense-Thirring-type precessional effects which, under certain circumstances,
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8

Pashkevich, Vladimir V., and Andrey N. Vershkov. "Geodetic Precession of the Sun, Solar System Planets, and their Satellites." Artificial Satellites 57, no. 1 (2022): 77–109. http://dx.doi.org/10.2478/arsa-2022-0005.

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Abstract The effect of the geodetic precession is the most significant relativistic effect in the rotation of celestial bodies. In this article, the new geodetic precession values for the Sun, the Moon, and the Solar System planets have been improved over the previous version by using more accurate rotational element values. For the first time, the relativistic effect of the geodetic precession for some planetary satellites (J1–J4, S1–S6, S8–S18, U1–U15, N1, and N3–N8) with known quantities of the rotational elements was studied in this research. The calculations of the values of this relativi
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9

Pashkevich, Vladimir V., and Andrey N. Vershkov. "Geodetic Precession of the Sun, Solar System Planets, and their Satellites." Artificial Satellites 57, no. 1 (2022): 77–109. http://dx.doi.org/10.2478/arsa-2022-0005.

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Abstract The effect of the geodetic precession is the most significant relativistic effect in the rotation of celestial bodies. In this article, the new geodetic precession values for the Sun, the Moon, and the Solar System planets have been improved over the previous version by using more accurate rotational element values. For the first time, the relativistic effect of the geodetic precession for some planetary satellites (J1–J4, S1–S6, S8–S18, U1–U15, N1, and N3–N8) with known quantities of the rotational elements was studied in this research. The calculations of the values of this relativi
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10

Mozaffari, S. Mohammad. "Holding or Breaking with Ptolemy's Generalization: Considerations about the Motion of the Planetary Apsidal Lines in Medieval Islamic Astronomy." Science in Context 30, no. 1 (2017): 1–32. http://dx.doi.org/10.1017/s0269889717000011.

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ArgumentIn the Almagest, Ptolemy finds that the apogee of Mercury moves progressively at a speed equal to his value for the rate of precession, namely one degree per century, in the tropical reference system of the ecliptic coordinates. He generalizes this to the other planets, so that the motions of the apogees of all five planets are assumed to be equal, while the solar apsidal line is taken to be fixed. In medieval Islamic astronomy, one change in this general proposition took place because of the discovery of the motion of the solar apogee in the ninth century, which gave rise to lengthy d
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11

Sommer, M., H. Yano, and R. Srama. "Effects of neighbouring planets on the formation of resonant dust rings in the inner Solar System." Astronomy & Astrophysics 635 (February 28, 2020): A10. http://dx.doi.org/10.1051/0004-6361/201936676.

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Context. Findings by the Helios and STEREO mission have indicated the presence of a resonant circumsolar ring of dust associated with Venus. Attempts to model this phenomenon as an analogue to the resonant ring of Earth – as a result of migrating dust trapped in external mean-motion resonances (MMRs) – have so far been unable to reproduce the observed dust feature. Other theories of origin have recently been put forward. However, the reason for the low trapping efficiency of Venus’s external MMRs remains unclear. Aims. Here we look into the nature of the dust trapping resonant phenomena that a
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12

Guimaraes, Eduardo S. "Theory of The Three Fields of Space." JOURNAL OF ADVANCES IN PHYSICS 14, no. 3 (2018): 5765–95. http://dx.doi.org/10.24297/jap.v14i3.7539.

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 This article is a logical and rational analysis of the physical phenomena produced by the three fields that are generated in space: gravity field; field of terrestrial nuclear magnetism; and orbital field.
 Eduardo Guimarães, through the studies of the three nuclear masses of the Sun's nucleus, the three nuclear masses of the moon's nucleus, and the three nuclear masses of the Earth's nucleus.
 We discover the three spatial fields that are generated in the solar system and in the planets.
 Then, from the general theory of the three fields of space, we can understand all t
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13

Mi, Yunpo. "Principle of Mercury precession." Advances in Engineering Technology Research 12, no. 1 (2024): 340. https://doi.org/10.56028/aetr.12.1.340.2024.

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In the vast universe, Mercury being the closest planet to the sun, has garnered significant attention from scientists due to its unique precession phenomenon. The precession of Mercury is the manifestation of law of Mercury's space motion. Through the study of Mercury's precession, it can promote the understanding of the subtle changes of the Mercury's orbit and position, and also provide reference for the study of other celestial bodies. In this study, the mystery of Mercury's precession will be deeply discussed. First, the basic concept of Mercury's precession and the research progress made
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14

Xiaochun, Mei. "The precise calculations of the constant terms in the equations of motions of planets and photons of general relativity." Physics Essays 34, no. 2 (2021): 183–92. http://dx.doi.org/10.4006/0836-1398-34.2.183.

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In general relativity, the values of constant terms in the equations of motions of planets and light have not been seriously discussed. Based on the Schwarzschild metric and the geodesic equations of the Riemann geometry, it is proved in this paper that the constant term in the time-dependent equation of motion of planet in general relativity must be equal to zero. Otherwise, when the correction term of general relativity is ignored, the resulting Newtonian gravity formula would change its basic form. Due to the absence of this constant term, the equation of motion cannot describe the elliptic
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15

Harko, Tiberiu, Zoltan Kovács, and Francisco S. N. Lobo. "Solar System tests of Hořava–Lifshitz gravity." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467, no. 2129 (2010): 1390–407. http://dx.doi.org/10.1098/rspa.2010.0477.

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In the present paper, we consider the possibility of observationally constraining Hořava gravity at the scale of the Solar System, by considering the classical tests of general relativity (perihelion precession of the planet Mercury, deflection of light by the Sun and the radar echo delay) for the spherically symmetric black hole Kehagias–Sfetsos solution of Hořava–Lifshitz gravity. All these gravitational effects can be fully explained in the framework of the vacuum solution of Hořava gravity. Moreover, the study of the classical general relativistic tests also constrains the free parameter o
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16

Pakdemirli, Mehmet. "Precession of a Planet with the Multiple Scales Lindstedt–Poincare Technique." Zeitschrift für Naturforschung A 70, no. 10 (2015): 829–34. http://dx.doi.org/10.1515/zna-2015-0312.

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AbstractThe recently developed multiple scales Lindstedt–Poincare (MSLP) technique is successfully applied to a mathematical model of planet motion. The equation is originally developed to precisely understand the orbital motion of the planet Mercury around the Sun and the precession of the orbit due to the relativistic effects. The quadratic nonlinear equation is solved by the classical Lindstedt–Poincare method (LP) and then by the newly developed multiple scales Lindstedt–Poincare method (MSLP). Both approximate solutions are contrasted with the numerical simulations. When the relativistic
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17

Salas S, Alvaro H., Jairo E. Castillo H, and Lorenzo J. Martınez H. "Perihelion Precessions of Inner Planets in Einstein’s Theory and Predicted Values for the Cosmological Constant." Scientific World Journal 2022 (October 28, 2022): 1–8. http://dx.doi.org/10.1155/2022/4808065.

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In this paper, we obtain the approximate value of 42.9815 arcsec/century for Mercury’s perihelion precession by solving both numerically and analytically the nonlinear ordinary differential equation derived from the geodesic equation in Einstein’s Theory of Relativity. We also compare our result with known results, and we illustrate graphically the way Mercury’s perihelion moves. The results we obtained are applicable to any body that moves around the Sun. We give predictions about the value of the Cosmological Constant. Simple algebraic formulas allow to estimate perihelion shifts with high a
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18

IORIO, L. "CONSTRAINING THE PREFERRED-FRAME α1, α2 PARAMETERS FROM SOLAR SYSTEM PLANETARY PRECESSIONS". International Journal of Modern Physics D 23, № 01 (2014): 1450006. http://dx.doi.org/10.1142/s0218271814500060.

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Analytical expressions for the orbital precessions affecting the relative motion of the components of a local binary system induced by Lorentz-violating Preferred Frame Effects (PFE) are explicitly computed in terms of the Parametrized Post-Newtonian (PPN) parameters α1, α2. Preliminary constraints on α1, α2 are inferred from the latest determinations of the observationally admitted ranges [Formula: see text] for any anomalous Solar System planetary perihelion precessions. Other bounds existing in the literature are critically reviewed, with particular emphasis on the constraint [Formula: see
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19

G, Alcocer. "Variant Mass for a Particle which Emits Gravitational Energy for a Particle Orbiting a Large Planet or Sun and for a Binary Star and Variant Frequency for the Light Passing Close a Gravitational Field from a Massive Object (Sun): The Physics and Emission of the Gravitational Energy." Physical Science & Biophysics Journal 5, no. 2 (2021): 1–14. http://dx.doi.org/10.23880/psbj-16000193.

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The Fundament of the Mass and the new theory and formula of the Variant Mass for a particle in Gravitation is presented at this research. Albert Einstein wrote in a research article: “Does the inertia of a body depend on its energy content?” (Ist die Trägheit eines Körpers von seimen Energienhalt abhängig?): “If a body emits energy E in the form of radiation, its mass decreases by E/ c2. The fact that the energy that leaves from the body is converted into radiation energy makes no difference, so the more general conclusion is reached that the mass of a body is a measure of the content of its e
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20

Iorio, Lorenzo. "A Post-Newtonian Gravitomagnetic Effect on the Orbital Motion of a Test Particle around Its Primary Induced by the Spin of a Distant Third Body." Universe 5, no. 4 (2019): 87. http://dx.doi.org/10.3390/universe5040087.

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We study a general relativistic gravitomagnetic 3-body effect induced by the spin angular momentum S X of a rotating mass M X orbited at distance r X by a local gravitationally bound restricted two-body system S of size r ≪ r X consisting of a test particle revolving around a massive body M. At the lowest post-Newtonian order, we analytically work out the doubly averaged rates of change of the Keplerian orbital elements of the test particle by finding non-vanishing long-term effects for the inclination I, the node Ω and the pericenter ω . Such theoretical results are confirmed by a numerical i
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21

Challoumis, Constantinos. "Panphysics Enopiisis." Edelweiss Applied Science and Technology 8, no. 6 (2024): 9356–75. https://doi.org/10.55214/25768484.v8i6.3999.

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This paper examines Desmos (or Bond) and its implications compared to the literature review. It focuses on the parameter n, which characterizes how the effective force or interaction between celestial bodies changes with distance. By analyzing cosmic phenomena such as Mercury’s precession and Hubble's expansion, derived that variable n is approximately 1.10. This value indicates a deviation from the classical law, suggesting a more gradual weakening of forces with distance. Notably, the Bond model provides a different perspective on energy interactions, as it predicts higher effective energies
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22

Jormakka, Jorma. "A better solution the the precession of Mercury's perihelion." ASEAN Journal of Psychiatry, 2024, 01–26. https://doi.org/10.54615/2231-7805.2024.12(2).363.

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The article shows that the explanation that Einstein gave to the precession of the perihelion of Mercury is incorrect: the dynamic equations he used do not even accelerate a falling stone, they cannot be used as an improvement of Newtonian mechanics. Then the article derives a formula for the precession speed and shows why most of the precession of Mercury can be explained by gravitational forces from other planets. But these forces change in time, the last section calculates a long time average of the effect of Jupiter on Mercury’s precession speed. This effect is about one hundred times smal
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23

WAYTE, RICHARD. "On the precession of Mercury's orbit." Springer Verlag, June 19, 2017. https://doi.org/10.5281/zenodo.810997.

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The Sun's orbital motion around the Solar System barycentre contributes a small quadrupole component to the gravitational energy of Mercury. The effect of this component has until now gone unnoticed, but it actually induces a significant part of the observed precession of Mercury's orbit. This record was migrated from the OpenDepot repository service in June, 2017 before shutting down.
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24

Brown, Garett, and Hanno Rein. "General relativistic precession and the long-term stability of the solar system." Monthly Notices of the Royal Astronomical Society, March 10, 2023. http://dx.doi.org/10.1093/mnras/stad719.

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Abstract The long-term evolution of the solar system is chaotic. In some cases, chaotic diffusion caused by an overlap of secular resonances can increase the eccentricity of planets when they enter into a linear secular resonance, driving the system to instability. Previous work has shown that including general relativistic contributions to the planets’ precession frequency is crucial when modelling the solar system. It reduces the probability that the solar system destabilizes within 5 Gyr by a factor of 60. We run 1280 additional N-body simulations of the solar system spanning 12.5 Gyr where
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25

Berche, Bertrand, and Ernesto Medina. "The advance of Mercury’s perihelion." European Journal of Physics, June 5, 2024. http://dx.doi.org/10.1088/1361-6404/ad54a5.

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Abstract A very famous “test” of the General Theory of Relativity (GTR) is the advance of Mercury’s perihelion (and of other planets too). To be more precise, this is not a prediction of General Relativity, since the anomaly was known in the XIXth century, but no consistent explanation had been found yet at the time GTR was elaborated. Einstein came up with a solution to the problem in 1914. In the case of Mercury, the closest planet to the Sun, the effect is more pronounced than for other planets, and observed from Earth; there is an advance of the perihelion of Mercury of about 5550 arc secon
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26

Wang, Nan, Lu-Yao Lu, Hui-Gen Liu, et al. "Development of Gravity Theories in the View of TRAPPIST-1e." Research in Astronomy and Astrophysics, November 13, 2024. http://dx.doi.org/10.1088/1674-4527/ad9254.

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Abstract Contrary to the solar system, most exoplanet systems detected hitherto are close-in and compact. One typical system is TRAPPIST-1, which has seven nearly co-planar terrestrial planets all within the orbit of Mercury, including three in the habitable zone.
To evaluate the differences in development of sophisticated gravity theories from the solar system, we use N-body integrations to simulate ephemeris and reproduce some important astronomy phenomena observed on the potentially habitable planet TRAPPIST-1e.
Retrograde motions of other planets last 1–2 orders of magnitud
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27

Corda, Christian. "Precession of planets' orbits between Newtonian gravity and Einstein's general relativity." Top Italian Scientists Journal 1, no. 3 (2024). http://dx.doi.org/10.62684/tjwf4948.

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The recent result that, contrary to a longstanding conviction older than 160 years, the precession of Mercury perihelion can be achieved in Newtonian gravity with a very high precision by correctly analyzing the situation without neglecting Mercury's mass is confirmed. Orbit's precession does not occur in an inertial (in Newtonian sense) frame of reference, but it occurs in the non-inertial frame of reference of the Sun because in Newtonian theory, the distance which is travelled by a body depends on the frame of reference in which the motion of the body is analyzed. After reviewing a previous
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Poddar, Tanmay Kumar, Subhendra Mohanty, and Soumya Jana. "Constraints on long range force from perihelion precession of planets in a gauged $$L_e-L_{\mu ,\tau }$$ scenario." European Physical Journal C 81, no. 4 (2021). http://dx.doi.org/10.1140/epjc/s10052-021-09078-9.

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AbstractThe standard model leptons can be gauged in an anomaly free way by three possible gauge symmetries namely $${L_e-L_\mu }$$ L e - L μ , $${L_e-L_\tau }$$ L e - L τ , and $${L_\mu -L_\tau }$$ L μ - L τ . Of these, $${L_e-L_\mu }$$ L e - L μ and $${L_e-L_\tau }$$ L e - L τ forces can mediate between the Sun and the planets and change the perihelion precession of planetary orbits. It is well known that a deviation from the $$1/r^2$$ 1 / r 2 Newtonian force can give rise to a perihelion advancement in the planetary orbit, for instance, as in the well known case of Einstein’s gravity (GR) wh
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29

Tikoo, Sonia M., and Alexander J. Evans. "Dynamos in the Inner Solar System." Annual Review of Earth and Planetary Sciences 50, no. 1 (2021). http://dx.doi.org/10.1146/annurev-earth-032320-102418.

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Dynamo magnetic fields are primarily generated by thermochemical convection of electrically conductive liquid metal within planetary cores. Convection can be sustained by secular cooling and may be bolstered by compositional buoyancy associated with core solidification. Additionally, mechanical stirring of core fluids and external perturbations by large impact events, tidal effects, and orbital precession can also contribute to sustaining dynamo fields. Convective dynamos cease when the core-mantle heat flux becomes subadiabatic or if specific crystallization regimes inhibit core fluid flows.
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Williams, Hollis. "An elementary approach to simulating the perihelion of Mercury." European Journal of Physics, October 9, 2023. http://dx.doi.org/10.1088/1361-6404/ad0188.

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Abstract The relativistic correction to the precession of the perihelion of Mercury provided key evidence for the accuracy of general relativity as a theory of gravity. This example still has a large amount of potential to introduce students to the power of numerical simulations in theoretical physics, but existing approaches may be too detailed for many students and involve them beginning to learn a programming language at the same time. In this article, we take a simpler approach which uses as little coding as possible. The equation for the orbit of a planet is solved with and without relati
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31

Jibin, QIN. "The new gravitational equation to solve the precession problem of mercury." July 16, 2021. https://doi.org/10.5281/zenodo.5110772.

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One day after summing the three principles of the universe, we found the complete momentum formula and the complete energy formula. Then, we extended them to the new universal gravitation equation. The precession problem of Mercury is solved by using the integral of infinite Laurent series of this formula, and the result is compared with that of Einstein's paper. When the orbit of a planet is a perfect circle, the calculated precession using our formula is zero, while Einstein's formula is not zero. Therefore, I think that this paper solves the problem that Einstein's formula is no
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32

Etienne, Valentin, Gwenaël Boué, and Clodoaldo Ragazzo. "Obliquity of Mercury with a fluid core and a deformable mantle." Astronomy & Astrophysics, July 8, 2025. https://doi.org/10.1051/0004-6361/202555470.

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In anticipation of BepiColombo's orbital insertion in 2026, this study revisits the rotation of Mercury, modelling it with a fluid core and a deformable mantle. For this well-established physical model, we provide an analytical solution based on a novel Lagrangian formalism. Our approach enables a comprehensive 3D solution for the mantle's orientation, including the phase in longitude at the perihelion. The model incorporates dissipative torques from core-mantle boundary friction and tidal deformations, conservative pressure torques, and the effect of the planet's apsidal precession. We valida
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Harko, Tiberiu, and Shahab Shahidi. "Coupling matter and curvature in Weyl geometry: conformally invariant $$f\left( R,L_m\right) $$ gravity." European Physical Journal C 82, no. 3 (2022). http://dx.doi.org/10.1140/epjc/s10052-022-10126-1.

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AbstractWe investigate the coupling of matter to geometry in conformal quadratic Weyl gravity, by assuming a coupling term of the form $$L_m{\tilde{R}}^2$$ L m R ~ 2 , where $$L_m$$ L m is the ordinary matter Lagrangian, and $${\tilde{R}}$$ R ~ is the Weyl scalar. The coupling explicitly satisfies the conformal invariance of the theory. By expressing $${\tilde{R}}^2$$ R ~ 2 with the help of an auxiliary scalar field and of the Weyl scalar, the gravitational action can be linearized, leading in the Riemann space to a conformally invariant $$f\left( R,L_m\right) $$ f R , L m type theory, with th
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