Preliminary constraints on the location of the recently hypothesized new planet of the Solar System from planetary orbital dynamics
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In a previous analysis, the present method did not provide constraints in contrast to those inferred by reprocessing the data record by including Planet Nine in the dynamical force models.
“Be that as it may, in a previous analysis [2] the present method did not provide constraints in contrast to those inferred by reprocessing the data record by including P9 in the dynamical force models [19].”
From Has Kronos Devoured Planet Nine and Its Epigones? (2026) · cites this paper as [2]
Cites
Evidence for a Distant Giant Planet in the Solar System
Batygin, K., & Brown, M. E. (2016) · The Astronomical Journal · doi:10.3847/0004-6256/151/2/22 · Cited by 432 · cited 27× · see citing works
“…which turned out to exhibit a peculiar grouping pattern either in the values of their arguments of periheliaω (Trujillo & Sheppard 2014) and in the physical 1Here and in the following, “X” is used with the meaning of “unknown”, not as the Roman numeral for ten. space itself (Batygin & Brown 2016a).”
BackgroundMethodResultInfluentialA Sedna-like body with a perihelion of 80 astronomical units
Trujillo, C. A., & Sheppard, S. S. (2014) · Nature · doi:10.1038/nature13156 · Cited by 303 · see citing works
Observational constraints on the orbit and location of Planet Nine in the outer solar system
Brown, M. E., & Batygin, K. (2016) · The Astrophysical Journal Letters · doi:10.3847/2041-8205/824/2/l23 · Cited by 112 · cited 30× · see citing works
“Our Figures 11 to 13 show that the nodal and apsidal precessions of Saturn actually leave room for larger values ofmX than the upper limit of 20 m⊕ suggested by Brown & Batygin (2016), but they are confined in quite small orbital portions nearly around the aphelion.”
BackgroundMethodResultInfluentialNew Extreme Trans-Neptunian Objects: Toward a Super-Earth in the Outer Solar System
Sheppard, S. S., & Trujillo, C. (2016) · The Astronomical Journal · doi:10.3847/1538-3881/152/6/221 · Cited by 92 · see citing works
INTERACTION CROSS SECTIONS AND SURVIVAL RATES FOR PROPOSED SOLAR SYSTEM MEMBER PLANET NINE
Li, G., & Adams, F. C. (2016) · The Astrophysical Journal Letters · doi:10.3847/2041-8205/823/1/l3 · Cited by 60 · see citing works
Dynamical limits on dark mass in the outer solar system
Hogg, D. W., Quinlan, G. D., & Tremaine, S. (1991) · The Astronomical Journal · doi:10.1086/115849 · Cited by 57 · see citing works
THE HUNT FOR PLANET NINE: ATMOSPHERE, SPECTRA, EVOLUTION, AND DETECTABILITY
Fortney, J. J., Marley, M. S., Laughlin, G., Nettelmann, N., Morley, C. V., Lupu, R. E., Visscher, C., Jeremic, P., Khadder, W. G., & Hargrave, M. (2016) · The Astrophysical Journal Letters · doi:10.3847/2041-8205/824/2/l25 · Cited by 36 · see citing works
Observational Constraints on Planet Nine: Astrometry of Pluto and Other Trans-Neptunian Objects
Holman, M. J., & Payne, M. J. (2016) · The Astronomical Journal · doi:10.3847/0004-6256/152/4/80 · Cited by 32 · cited 15× · see citing works
“The possibility of using the ongoing telemetry of New Horizons, a further complementary feature of this work with respect to Fienga et al. (2016a); Holman & Payne (2016b), is discussed in Section 7.”
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Constraints on the location of a possible 9th planet derived from the<i>Cassini</i>data
Fienga, A., Laskar, J., Manche, H., & Gastineau, M. (2016) · Astronomy & Astrophysics · doi:10.1051/0004-6361/201628227 · Cited by 76 · see citing works
Has Kronos Devoured Planet Nine and Its Epigones?
Iorio, L. (2026) · Universe · doi:10.3390/universe12020042
“From the definition of Θ µν and using equation (2), we have In other words, Θ µν will depend on the Lagrangian of matter, that is, this can refer to the case of the electromagnetic field, the massless scalar field, the case of the perfect fluid, among others.”
Self-citation
- Authors
- Iorio, L.
- Affiliations
- Ministry of Education, Universities and Research (IT)
- Corresponding author
- Iorio, Lorenzo
- ORCID
- Iorio, Lorenzo
- Venue
- Astrophysics and Space Science
- Published
- 2016-12-07
- Volume
- 362
- Issue
- 1
- ISSN
- 0004-640X (ISSN-L)
- 1572-946X
- OpenAlex
- W2560850117
- Cited by
- 21
- References
- 8
- Citations by year
- 2025: 2 · 2024: 1 · 2023: 2 · 2021: 1 · 2020: 1 · 2019: 4 · 2017: 8 · 2016: 2
- FWCI
- 2.23
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Astrophysics and Space Science (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Astro and Planetary Science
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Stellar, planetary, and galactic studies
- Physical Sciences › Engineering › Aerospace Engineering › Space Satellite Systems and Control
- Keywords
- Planet X, Kuiper belt objects, Saturn, apsidal motion, orbital precession, orbital inclination, orbital resonance, orbital dynamics, orbital perturbations, orbital elements
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