2024
DOI: 10.1007/s41114-023-00047-0
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Testing theories of gravity with planetary ephemerides

Agnès Fienga,
Olivier Minazzoli

Abstract: We describe here how planetary ephemerides are built in the framework of General Relativity and how they can be used to test alternative theories. We focus on the definition of the reference frame (space and time) in which the planetary ephemeris is described, the equations of motion that govern the orbits of solar system bodies and electromagnetic waves. After a review on the existing planetary and lunar ephemerides, we summarize the results obtained considering full modifications of the ephemeris framework w… Show more

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citations
Cited by 12 publications
(5 citation statements)
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References 221 publications
(418 reference statements)
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“…For the most gradual transition function, n = 1, we would have δg → a 0 (Figure 1). A constant acceleration of this magnitude conflicts with observations of the orbits of the inner planets (e.g., Blanchet & Novak 2011;Fienga et al 2018;Fienga & Minazzoli 2024). For n 2 the non-Newtonian acceleration δg in the inner solar system is much smaller but can still be significant.…”
contrasting
confidence: 54%
See 1 more Smart Citation
“…For the most gradual transition function, n = 1, we would have δg → a 0 (Figure 1). A constant acceleration of this magnitude conflicts with observations of the orbits of the inner planets (e.g., Blanchet & Novak 2011;Fienga et al 2018;Fienga & Minazzoli 2024). For n 2 the non-Newtonian acceleration δg in the inner solar system is much smaller but can still be significant.…”
contrasting
confidence: 54%
“…Radar ranging to the Cassini spacecraft constrains Q 2 (0) = (3 ± 3) × 10 −27 s −2 (Hees et al 2014) as indicated by the gray area (with the mean value shown by the horizontal dashed line). Analyses of planetary motion (Blanchet & Novak 2011;Fienga et al 2018;Fienga & Minazzoli 2024) require n 6, or even n 20 (Fienga et al 2018).…”
Section: The External Field Effect In Mondmentioning
confidence: 99%
“…Additionally, Banik et al (2024) have used wide binary data from the Gaia DR3 data set to demonstrate that Newtonian gravity is very strongly favored over MOND on outer solar system scales. Equivalent conclusions were reached by Fienga et al (2016) and Fienga & Minazzoli (2024) from the vantage point of planetary ephemerides.…”
Section: Alternatives To P9mentioning
confidence: 92%
“…Solar mass loss was included using Ṁ/ M = 7 × 10 14 y 1 (e.g., Quinn et al, 1991). Quinn et al's value falls toward the lower end of more recent solar mass loss estimates (e.g., Minton & Malhotra, 2007;Fienga & Minazzoli, 2024), which is likely of minor importance though. In additional eight test simulations (not shown), we used a very large solar mass loss of Ṁ/ M = 1.1 × 10 11 y 1 (Spalding et al, 2018) and found again essentially the same dynamics, including σ 12resonance episodes.…”
Section: Appendix A: Milanković Quotementioning
confidence: 99%