Constraints on the location of a possible 9th planet derived from the Cassini data
Open accessAbstract
To explain the unusual distribution of Kuiper belt objects, several authors have advocated the existence of a super-Earth planet in the outer solar system. It has recently been proposed that a 10 M⊕ object with an orbit of 700 AU semi major axis and 0.6 eccentricity can explain the observed distribution of Kuiper belt objects around Sedna. Here we use the INPOP planetary ephemerides model as a sensor for testing for an additional body in the solar system. We test the possibility of adding the proposed planet without increasing the residuals of the planetary ephemerides, fitted over the whole INPOP planetary data sample. We demonstrate that the presence of such an object is not compatible with the most sensitive data set, the Cassini radio ranging data, if its true anomaly is in the intervals [−130°: −100° ] or [−65°:85° ]. Moreover, we find that the addition of this object can reduce the Cassini residuals, with a most probable position given by a true anomaly v = 117.8°+11°-10° .
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Most of the Planet Nine parameter space, in particular the best fit case, has already been ruled out by Fienga et al. [19].
“although most of them, in particular the 'best fit case', have already been ruled out by Fienga et al. [19].”
From Has Kronos Devoured Planet Nine and Its Epigones? (2026) · cites this paper as [19]
Section 4 (Results; page unavailable) identifies two forbidden true-anomaly intervals, totaling 180° of the 360° orbit tested—not most of it. It places the strongest reduction in Cassini residuals at 117.8°, and Section 6 (Conclusions; page unavailable) calls that the most probable position rather than ruling it out. The paper does not identify a separate configuration called the “best fit case.” (LLM, conf=0.88)
Checked by a reasoning model — may be wrong.
Experimental — accuracy not yet measuredA hypothetical planet with mass m = 10 Earth masses would produce perturbations to Saturn's orbit detectable via Cassini telemetry if it were currently closer to the Sun than about r ≲ 370 AU.
“For example, a hypothetical planet with mass m = 10 M would produce perturbations to Saturn's orbit that would be detectable via telemetry of the Cassini spacecraft, if it were currently closer to the Sun than about r ≲ 370 AU (Fienga et al., 2016).”
From The planet nine hypothesis (2019) · cites this paper as Fienga et al., 2016
The Introduction identifies the tested planet as 10 Earth masses, and the Results (§4; page unavailable) find that Cassini ranging data exclude it at specified true anomalies. The paper does not give a 370 AU detection threshold: its exclusions depend on position along the particular orbit tested, so the claim overgeneralizes them into a distance-only rule. (LLM, conf=0.84)
Experimental — accuracy not yet measuredFienga et al. (2016) perform full fits to the locations of all planets and nearly 300 asteroids with and without a 10 M_e Planet Nine at various positions along an orbit with a=700 au and e=0.6.
“Fienga et al. (2016)perform full fits to the locations of all planets and nearly 300 asteroids observed from ancient times to the present with and without a 10 M e Planet Nine at various positions along an orbit with = a 700 au 9 and e 9 = 0.6, consistent with the nominal orbit suggested in Batygin & Brown (2016).”
From Observational constraints on the orbit and location of Planet Nine in the outer solar system (2016) · cites this paper as Fienga et al. (2016)
Sections 2 and 3.2 describe global fits of planetary orbits with and without a 10-Earth-mass Planet Nine at positions sampled around its proposed orbit; the Abstract gives a = 700 AU and e = 0.6. Section 3.1 says the model takes up to 298 asteroids into account, but it does not say the authors fitted those asteroids’ locations. The fits described in Section 3.2 are of planetary-orbit parameters. (LLM, conf=0.87)
Experimental — accuracy not yet measuredPlanet Nine near perihelion would cause such a large effect on the Earth-Saturn distance that the Fienga et al. (2016) analysis and an extension by Holman & Payne (2016) can rule out any of the Planet Nine solutions near perihelion over the range of R.A. > 255° and R.A. < 2°.
“At its the nearest possible locations, in particular, Planet Nine would cause such a large effect on the Earth-Saturn distance that the Fienga et al. (2016) analysis and an extension by Holman & Payne (2016) (which assumes the same residuals) can rule out any of the Planet Nine solutions near perihelion over the range of R.A. of R.A. > 255 9 , R.A. < 2 9 deg.”
From Observational constraints on the orbit and location of Planet Nine in the outer solar system (2016) · cites this paper as Fienga et al. (2016)
Split into 2 atoms — 1 confirmed, 1 partially supported, 0 disputed, 0 misattributed, 0 unverifiable. Expand the claim to see per-atom verdicts.
Experimental — accuracy not yet measuredWith no Planet Nine, Fienga et al.'s best fit to the position of Saturn has Earth-Saturn distance residuals that roughly follow a sinusoid with a 12-year period and a full amplitude of ∼70 m.
“With no Planet Nine, their best fit to the position of Saturn has Earth-Saturn distance residuals that roughly follow a sinusoid with a 12-year period and a full amplitude of ∼70 m.”
From Observational constraints on the orbit and location of Planet Nine in the outer solar system (2016) · cites this paper as Fienga et al. (2016)
The Results section and Fig. 1 caption identify post-fit Cassini ranging residuals for the nominal INPOP ephemerides without Planet Nine. They do not describe those residuals as a 12-year sinusoid with a full amplitude of about 70 m; the reported 74.9 m is a standard deviation, not an amplitude. No page number is available in our copy. (LLM, conf=0.88)
Experimental — accuracy not yet measured
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 [19]
Fienga et al. (2016) calculations point to a small reduction in the residuals of the ranging data if the true anomaly of P9 is taken to be ν9 ≈ 118 deg.
“Moreover, the calculations of Fienga et al. (2016) point to a small reduction in the residuals of the ranging data if the true anomaly of P9 is taken to be 9 118 deg.”
From The planet nine hypothesis (2019) · cites this paper as Fienga et al. (2016)
The reanalysis by Folkner et al. (2016) suggests that gravitational determinations of Planet Nine's on-sky location are considerably less precise than advocated by Fienga et al. (2016) and Holman and Payne (2016a,b).
“The reanalysis of the ephemeris carried out by Folkner et al. (2016), however, highlights the sensitivity of Fienga et al.'s results to the specifics of the underlying dynamical model, suggesting that the gravitational determinations of Planet Nine's on-sky location are in reality considerably less precise than advocated by Fienga et al. (2016); Holman and Payne (2016a,b).”
From The planet nine hypothesis (2019) · cites this paper as Fienga et al. (2016)
Fienga et al. (2016) find that the strongest constraint on the existence of Planet Nine comes from the very precise measurements of the distance to Saturn as measured by the Cassini spacecraft over the past decade.
“They find that the strongest constraint on the existence of Planet Nine comes from the very precise measurements of the distance to Saturn as measured by the Cassini spacecraft over the past decade.”
From Observational constraints on the orbit and location of Planet Nine in the outer solar system (2016) · cites this paper as Fienga et al. (2016)
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Protoplanet Migration by Nebula Tides
Ward, W. R. (1997) · Icarus · doi:10.1006/icar.1996.5647 · Cited by 1,071 · see citing works
Periodicity of extinctions in the geologic past.
Raup, D. M., & Sepkoski, J. J. (1984) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.81.3.801 · Cited by 980 · see citing works
Study of the anomalous acceleration of Pioneer 10 and 11
Anderson, J. D., Laing, P. A., Lau, E. L., et al. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.65.082004 · Cited by 590 · see citing works
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 4× · see citing works
“In Batygin & Brown (2016), only the long term evolution is considered as a constraint for the distribution of the KBO, so the true anomaly is left as an unknown.”
BackgroundMethodInfluentialA 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
The INPOP10a planetary ephemeris and its applications in fundamental physics
Fienga, A., Laskar, J., Kuchyňka, P., Manche, H., Desvignes, G., Gastineau, M., Cognard, I., & Theureau, G. (2011) · Celestial Mechanics and Dynamical Astronomy · doi:10.1007/s10569-011-9377-8 · Cited by 267 · see citing works
Self-citationINPOP06: a new numerical planetary ephemeris
Fienga, A., Manche, H., Laskar, J., & Gastineau, M. (2007) · Astronomy and Astrophysics · doi:10.1051/0004-6361:20066607 · Cited by 179 · see citing works
Self-citationFienga, A., Laskar, J., Morley, T., Manche, H., Kuchyňka, P., Poncin-Lafitte, C. L., Budnik, F., Gastineau, M., & Somenzi, L. (2009) · Astronomy and Astrophysics · doi:10.1051/0004-6361/200911755 · Cited by 162 · see citing works
Self-citationHees, A., Folkner, W. M., Jacobson, R. A., & Park, R. S. (2014) · Physical Review D · doi:10.1103/physrevd.89.102002 · Cited by 142 · see citing works
An outer planet beyond Pluto and the origin of the trans-Neptunian belt architecture
Lykawka, P. S., & Mukai, T. (2008) · The Astronomical Journal · doi:10.1088/0004-6256/135/4/1161 · Cited by 121 · see citing works
LONG RANGE OUTWARD MIGRATION OF GIANT PLANETS, WITH APPLICATION TO FOMALHAUT b
Crida, A., Masset, F. S., & Morbidelli, A. (2009) · The Astrophysical Journal · doi:10.1088/0004-637x/705/2/l148 · Cited by 114 · see citing works
A SEARCH FOR A DISTANT COMPANION TO THE SUN WITH THE<i>WIDE-FIELD INFRARED SURVEY EXPLORER</i>
Luhman, K. L. (2013) · The Astrophysical Journal · doi:10.1088/0004-637x/781/1/4 · Cited by 99 · see citing works
de la Fuente Marcos, C., & de la Fuente Marcos, R. (2014) · Monthly Notices of the Royal Astronomical Society: Letters · doi:10.1093/mnrasl/slu084 · Cited by 82 · see citing works
Iorio, L. (2012) · Celestial Mechanics and Dynamical Astronomy · doi:10.1007/s10569-011-9386-7 · Cited by 68 · see citing works
Gravity Tests with the INPOP Planetary Ephemerides
Laskar, J., Fienga, A., Manche, H., Kuchyňka, P., Poncin-Lafitte, C. L., & Gastineau, M. (2009) · HAL · Cited by 56 · see citing works
Self-citationPlanet X - No dynamical evidence in the optical observations
STANDISH, E. M. (1993) · The Astronomical Journal · doi:10.1086/116575 · Cited by 55 · see citing works
Bromley, B. C., & Kenyon, S. J. (2014) · The Astrophysical Journal · doi:10.1088/0004-637x/796/2/141 · Cited by 47 · see citing works
FORMATION OF SUPER-EARTH MASS PLANETS AT 125–250 AU FROM A SOLAR-TYPE STAR
Kenyon, S. J., & Bromley, B. C. (2015) · The Astrophysical Journal · doi:10.1088/0004-637x/806/1/42 · Cited by 41 · see citing works
Periodic mass extinctions and the Planet X model reconsidered
Whitmire, D. P. (2015) · Monthly Notices of the Royal Astronomical Society Letters · doi:10.1093/mnrasl/slv157 · Cited by 33 · see citing works
Gravity tests with INPOP planetary ephemerides
Fienga, A., Laskar, J., Kuchyňka, P., Poncin-Lafitte, C. L., Manche, H., & Gastineau, M. (2009) · Proceedings of the International Astronomical Union · doi:10.1017/s1743921309990330 · Cited by 28 · see citing works
Self-citationThe fate of scattered planetsPreprint
Bromley, B. C., & Kenyon, S. J. (2016) · Cited by 26 · see citing works
Iorio, L. (2017) · Astrophysics and Space Science · doi:10.1007/s10509-016-2993-8 · Cited by 21 · see citing works
Memoir On A Trans-neptunian Planet
Lowell, P. (2012) · Cited by 9 · see citing works
Fienga, A., Laskar, J., Manche, H., et al. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1601.00947 · Cited by 9 · see citing works
Self-citation
Flagged first, then by citations
Research works printed but not linked: 2
- [15]15. Iorio, L. 2016, ArXiv e-prints [arXiv:1512.05288 · arXiv
- [20]20. Raup, D. M., & Sepkoski, J. J. 1984, Proc. National Academy of Science, 81, 801
Cited by
Sorted by citations
Batygin, K., Adams, F. C., Brown, M. E., & Becker, J. C. (2019) · Physics Reports · doi:10.1016/j.physrep.2019.01.009 · Cited by 181 · see citing works
“370 AU (Fienga et al., 2016).”
BackgroundInfluentialObservational 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 · see citing works
“Additional constraints: Fienga et al. (2016) perform full fits to the locations of all planets and nearly 300 asteroids observed from ancient times to the present with and without a 10 Me Planet Nine at various positions along an orbit with a9 = 700 AU and e9=0.6, consistent with the nominal orbit…”
BackgroundInfluentialNew 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
CORRALLING A DISTANT PLANET WITH EXTREME RESONANT KUIPER BELT OBJECTS
Malhotra, R., Volk, K., & Wang, X. (2016) · The Astrophysical Journal Letters · doi:10.3847/2041-8205/824/2/l22 · Cited by 60 · see citing works
Consequences of a Distant Massive Planet on the Large Semimajor Axis Trans-Neptunian Objects
Shankman, C., Kavelaars, J. J., Lawler, S. M., Gladman, B. J., & Bannister, M. T. (2017) · The Astronomical Journal · doi:10.3847/1538-3881/153/2/63 · Cited by 42 · see citing works
Orbital clustering of distant Kuiper belt objects by hypothetical Planet 9. Secular or resonant?
Beust, H. (2016) · Astronomy & Astrophysics · doi:10.1051/0004-6361/201628638 · Cited by 41 · 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
New constraints on the location of P9 obtained with the INPOP19a planetary ephemeris
Fienga, A., Di Ruscio, A., Bernus, L., Deram, P., Durante, D., Laskar, J., & Iess, L. (2020) · Astronomy & Astrophysics · doi:10.1051/0004-6361/202037919 · Cited by 32 · see citing works
Self-citationObservational 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 · see citing works
“Our best fits suggest a planet that is either more massive or closer than argued for by either Batygin & Brown (2016) or Fienga et al. (2016).”
BackgroundMethodResultInfluentialDi Ruscio, A., Fienga, A., Durante, D., Iess, L., Laskar, J., & Gastineau, M. (2020) · Astronomy & Astrophysics · doi:10.1051/0004-6361/202037920 · Cited by 24 · see citing works
Self-citationHas Kronos Devoured Planet Nine and Its Epigones?
Iorio, L. (2026) · Universe · doi:10.3390/universe12020042
“Quintessence issues by taking into account generic models with actions containing f ( R ) terms were addressed in Ref.”
- Authors
- Fienga, A., Laskar, J., Manche, H., & Gastineau, M.
- Affiliations
- Centre National de la Recherche Scientifique (FR)
- Venue
- Astronomy & Astrophysics
- Publisher
- EDP Sciences
- Published
- 2016-03
- Volume
- 587
- Issue
- L8
- Pages
- L8
- ISSN
- 0004-6361 (ISSN-L)
- 1432-0746
- OpenAlex
- W2283852246
- Cited by
- 76
- References
- 24
- Citations by year
- 2025: 3 · 2024: 2 · 2023: 5 · 2022: 1 · 2021: 2 · 2020: 10 · 2019: 8 · 2018: 7 · 2017: 14 · 2016: 24
- FWCI
- 8.19
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Astronomy and Astrophysics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- HAL (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 › Physics and Astronomy › Astronomy and Astrophysics › History and Developments in Astronomy
- Keywords
- ninth planet, Planet Nine, Sedna, orbital constraints, true anomaly, outer solar system
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review