List of possible dwarf planets explained

The number of dwarf planets in the Solar System is unknown. Estimates have run as high as 200 in the Kuiper belt[1] and over 10,000 in the region beyond.[2] However, consideration of the surprisingly low densities of many large trans-Neptunian objects, as well as spectroscopic analysis of their surfaces, suggests that the number of dwarf planets may be much lower, perhaps only nine among bodies known so far.[3] The International Astronomical Union (IAU) defines dwarf planets as being in hydrostatic equilibrium, and notes five bodies in particular: in the inner Solar System and four in the trans-Neptunian region:,,, and . Only Pluto and Ceres have been confirmed to be in hydrostatic equilibrium, due to the results of the New Horizons and Dawn missions.[4] Eris is generally assumed to be a dwarf planet because it is similar in size to Pluto and even more massive. Haumea and Makemake were accepted as dwarf planets by the IAU for naming purposes and will keep their names if it turns out they are not dwarf planets. Smaller trans-Neptunian objects have been called dwarf planets if they appear to be solid bodies, which is a prerequisite for hydrostatic equilibrium: planetologists generally include at least,,, and . (In practice the requirement for hydrostatic equilibrium is often loosened to include all gravitationally rounded objects, even by the IAU, as otherwise even Mercury would not be a planet.)

Limiting values

Beside directly orbiting the Sun, the qualifying feature of a dwarf planet is that it have "sufficient mass for its self-gravity to overcome rigid-body forces so that it assumes a hydrostatic equilibrium (nearly round) shape".[5] [6] [7] Current observations are generally insufficient for a direct determination as to whether a body meets this definition. Often the only clues for trans-Neptunian objects (TNO) is a crude estimate of their diameters and albedos. Icy satellites as large as 1,500 km in diameter have proven to not be in equilibrium, whereas dark objects in the outer solar system often have low densities that imply they are not even solid bodies, much less gravitationally controlled dwarf planets.

, which has a significant amount of ice in its composition, is the only accepted dwarf planet in the asteroid belt, though there are unexplained anomalies.[8] 4 Vesta, the second-most-massive asteroid and one that is basaltic in composition, appears to have a fully differentiated interior and was therefore in equilibrium at some point in its history, but no longer is today.[9] The third-most massive object, 2 Pallas, has a somewhat irregular surface and is thought to have only a partially differentiated interior; it is also less icy than Ceres. Michael Brown has estimated that, because rocky objects such as Vesta are more rigid than icy objects, rocky objects below 900km (600miles) in diameter may not be in hydrostatic equilibrium and thus not dwarf planets. The two largest icy outer-belt asteroids 10 Hygiea and 704 Interamnia are close to equilibrium, but in Hygiea's case this may be a result of its disruption and the re-aggregation of its fragments, while Interamnia is now somewhat away from equilibrium due to impacts.[8] [10]

Based on a comparison with the icy moons that have been visited by spacecraft, such as Mimas (round at 400 km in diameter) and Proteus (irregular at 410–440 km in diameter), Brown estimated that an icy body relaxes into hydrostatic equilibrium at a diameter somewhere between 200 and 400 km. However, after Brown and Tancredi made their calculations, better determination of their shapes showed that Mimas and the other mid-sized ellipsoidal moons of Saturn up to at least Iapetus (which, at 1,471 km in diameter, is approximately the same size as Haumea and Makemake) are no longer in hydrostatic equilibrium; they are also icier than TNOs are likely to be. They have equilibrium shapes that froze in place some time ago, and do not match the shapes that equilibrium bodies would have at their current rotation rates.[11] Thus Rhea, at 1528 km in diameter, is the smallest body for which gravitational measurements are consistent with current hydrostatic equilibrium. Ceres, at 950 km in diameter, is close to equilibrium, but some deviations from equilibrium shape remain unexplained.[12] Much larger objects, such as Earth's moon and the planet Mercury, are not near hydrostatic equilibrium today,[13] [14] [15] though the Moon is composed primarily of silicate rock and Mercury of metal (in contrast to most dwarf planet candidates, which are ice and rock). Saturn's moons may have been subject to a thermal history that would have produced equilibrium-like shapes in bodies too small for gravity alone to do so. Thus, at present it is unknown whether any trans-Neptunian objects smaller than Pluto and Eris are in hydrostatic equilibrium.[3] Nonetheless, it does not matter in practice, because the precise statement of hydrostatic equilibrium in the definition is universally ignored in favour of roundness and solidity.[3]

The majority of mid-sized TNOs up to about in diameter have significantly lower densities (~ ) than larger bodies such as Pluto (1.86 g/cm3). Brown had speculated that this was due to their composition, that they were almost entirely icy. However, Grundy et al.[3] point out that there is no known mechanism or evolutionary pathway for mid-sized bodies to be icy while both larger and smaller objects are partially rocky. They demonstrated that at the prevailing temperatures of the Kuiper Belt, water ice is strong enough to support open interior spaces (interstices) in objects of this size; they concluded that mid-size TNOs have low densities for the same reason that smaller objects do—because they have not compacted under self-gravity into fully solid objects, and thus the typical TNO smaller than in diameter is (pending some other formative mechanism) unlikely to be a dwarf planet.

Assessment by Tancredi

In 2010, Gonzalo Tancredi presented a report to the IAU evaluating a list of 46 trans-Neptunian candidates for dwarf planet status based on light-curve-amplitude analysis and a calculation that the object was more than 450km (280miles) in diameter. Some diameters were measured, some were best-fit estimates, and others used an assumed albedo of 0.10 to calculate the diameter. Of these, he identified 15 as dwarf planets by his criteria (including the 4 accepted by the IAU), with another 9 being considered possible. To be cautious, he advised the IAU to "officially" accept as dwarf planets the top three not yet accepted: Sedna, Orcus, and Quaoar. Although the IAU had anticipated Tancredi's recommendations, over a decade later the IAU had never responded.

Assessment by Brown
Brown's categoriesMin. Number of objects
Nearly certainly> 900 km10
Highly likely600–900 km17 (27 total)
Likely500–600 km41 (68 total)
Probably400–500 km62 (130 total)
Possibly200–400 km611 (741 total)
Source: Mike Brown, as of October 22, 2020

Mike Brown considers 130 trans-Neptunian bodies to be "probably" dwarf planets, ranked them by estimated size. He does not consider asteroids, stating "in the asteroid belt Ceres, with a diameter of 900 km, is the only object large enough to be round."

The terms for varying degrees of likelihood he split these into:

Beside the five accepted by the IAU, the 'nearly certain' category includes,,,,, and . Note that although Brown's site claims to be updated daily, these largest objects haven't been updated since late 2013, and indeed the current best diameter estimates for Salacia and are less than 900 km. (Orcus is just above the threshold.)[16]

Assessment by Grundy et al.

Grundy et al. propose that dark, low-density TNOs in the size range of approximately are transitional between smaller, porous (and thus low-density) bodies and larger, denser, brighter, and geologically differentiated planetary bodies (such as dwarf planets). Bodies in this size range should have begun to collapse the interstitial spaces left over from their formation, but not fully, leaving some residual porosity.

Many TNOs in the size range of about have oddly low densities, in the range of about, that are substantially less than those of dwarf planets such as Pluto, Eris and Ceres, which have densities closer to 2. Brown has suggested that large low-density bodies must be composed almost entirely of water ice since he presumed that bodies of this size would necessarily be solid. However, this leaves unexplained why TNOs both larger than 1,000 km and smaller than 400 km, and indeed comets, are composed of a substantial fraction of rock, leaving only this size range to be primarily icy. Experiments with water ice at the relevant pressures and temperatures suggest that substantial porosity could remain in this size range, and it is possible that adding rock to the mix would further increase resistance to collapsing into a solid body. Bodies with internal porosity remaining from their formation could be at best only partially differentiated, in their deep interiors (if a body had begun to collapse into a solid body, there should be evidence in the form of fault systems from when its surface contracted). The higher albedos of larger bodies are also evidence of full differentiation, as such bodies were presumably resurfaced with ice from their interiors. Grundy et al.[3] propose therefore that mid-size (< 1,000 km), low-density (< 1.4 g/cm3) and low-albedo (< ~0.2) bodies such as Salacia, Varda, Gǃkúnǁʼhòmdímà, and are not differentiated planetary bodies like Orcus, Quaoar, and Charon. The boundary between the two populations would appear to be in the range of about, although Grundy et al. also suggest that might constitute an upper limit to retaining significant porosity.[3]

If Grundy et al.[3] are correct, then very few known bodies in the outer Solar System are likely to have compacted into fully solid bodies, and thus to possibly have become dwarf planets at some point in their past or to still be dwarf planets at present. Pluto–Charon, Eris, Haumea, Gonggong, Makemake, Quaoar, and Sedna are either known (Pluto) or strong candidates (the others). Orcus is again just above the threshold by size, though it is bright.

There are a number of smaller bodies, estimated to be between 700 and 900 km in diameter, for most of which not enough is known to apply these criteria. All of them are dark, mostly with albedos under 0.11, with brighter (0.18) an exception; this suggests that they are not dwarf planets. However, Salacia and Varda may be dense enough to at least be solid. If Salacia were spherical and had the same albedo as its moon, it would have a density of between 1.4 and 1.6 g/cm3, calculated a few months after Grundy et al.'s initial assessment, though still an albedo of only 0.04.[17] Varda might have a higher density of 1.78±0.06 g/cm3 (a lower density of 1.23±0.04 g/cm3 was considered possible though less probable), published the year after Grundy et al.'s initial assessment;[18] its albedo of 0.10 is close to Quaoar's.

Assessment by Emery et al.

In 2023, Emery et al. wrote that near-infrared spectroscopy by the James Webb Space Telescope (JWST) in 2022 suggests that Sedna, Gonggong, and Quaoar internally melted and differentiated and are chemically evolved, like the larger dwarf planets Pluto, Eris, Haumea, and Makemake, but unlike "all smaller KBOs". This is because light hydrocarbons are present on their surfaces (e.g. ethane, acetylene, and ethylene), which implies that methane is continuously being resupplied, and that methane would likely come from internal geochemistry. On the other hand, the surfaces of Sedna, Gonggong, and Quaoar have low abundances of CO and CO2, similar to Pluto, Eris, and Makemake but in contrast to smaller bodies. This suggests that the threshold for dwarf planethood in the trans-Neptunian region is a diameter of ~900 km (thus including only Pluto, Eris, Haumea, Makemake, Gonggong, Quaoar, Orcus, and Sedna), and that even Salacia may not be a dwarf planet.[19]

Likeliest dwarf planets

The assessments of the IAU, Tancredi et al., Brown, and Grundy et al. for some of potential dwarf planets are as follows. For the IAU, the acceptance criteria were for naming purposes; Quaoar was called a dwarf planet in a 2022–2023 IAU annual report.[20] An IAU question-and-answer press release from 2006 was more specific: it estimated that objects with mass above and diameter greater than 800 km (800 km across) would "normally" be in hydrostatic equilibrium ("the shape ... would normally be determined by self-gravity"), but that "all borderline cases would need to be determined by observation."[21] This is close to Grundy et al.'s suggestion for the approximate limit.

Several of these objects had not yet been discovered when Tancredi et al. did their analysis. Brown's sole criterion is diameter; he accepts significantly many more as "highly likely" to be dwarf planets, for which his threshold is 600 km (see below). Grundy et al. did not determine which bodies were dwarf planets, but rather which could not be. A red marks objects that are not dense enough to be solid bodies; to this is added a question mark for the objects whose densities are not known (they are all dark, suggesting that they are not dwarf planets). Emery et al. suggest that Sedna, Quaoar, and Gonggong went through internal melting, differentiation, and chemical evolution like the larger dwarf planets, but that all smaller KBOs did not.[19] The question of current equilibrium was not addressed; nonetheless, it is not generally taken seriously despite being in the definition. (Mercury is round but known to be out of equilibrium;[22] it is universally considered as a planet according to the intent of the IAU and geophysical definitions, rather than to the letter.)[23] This would be relevant for Quaoar, as in 2024, Kiss et al. found that Quaoar has an ellipsoidal shape incompatible with hydrostatic equilibrium for its current spin. They hypothesised that Quaoar originally had a rapid rotation and was in hydrostatic equilibrium, but that its shape became "frozen in" and did not change as it spun down due to tidal forces from its moon Weywot.[24] If so, this would resemble the situation of Saturn's moon Iapetus, which is too oblate for its current spin.[25] [26] Iapetus is generally still considered a planetary-mass moon nonetheless,[27] though not always.[28]

Two moons are included for comparison: Triton formed as a TNO, and Charon is larger than some dwarf planet candidates.

DesignationDensity
AlbedoIdentified as a dwarf planetCategory
by Emery
et al.
by Grundy
et al.
by Brownby Tancredi
et al.
by the IAU
N I Triton 0.60 to 0.95 (likely in equilibrium)[29] (moon of Neptune)
0.49 to 0.66 2:3 resonant
0.96 SDO
0.51
resonant cubewano
0.81
hot cubewano
0.14 N/A 3:10 resonant
P I Charon 0.2 to 0.5 (possibly in equilibrium)[30] (moon of Pluto)
≈ 1.7 0.11
hot cubewano
0.09 (close to equilibrium)[31] asteroid
0.23
plutino (2:3 resonant)
? 0.41 detached
0.04 hot cubewano
? 0.10 ? N/A hot cubewano
? 0.11 ? "highly likely" hot cubewano
? or
?
0.10 "highly likely" 4:7 resonant
? 0.17 ? "highly likely" N/A SDO
or 0.10 "highly likely" plutino (2:3 resonant)
? 0.10 ? "highly likely" plutino (2:3 resonant)
? ? "highly likely" hot cubewano
or or "highly likely" N/A hot cubewano
or ? 0.12 ? "highly likely" N/A SDO
or ? ? "highly likely" hot cubewano
or "highly likely" N/A SDO
? ? "highly likely" N/A SDO
or ? ? "highly likely" N/A hot cubewano
? ? 0.09 assumed ? "likely" N/A detached
or ? 0.09 assumed ? "likely" N/A 1:6 resonant SDO
? 0.11 assumed ? "highly likely" N/A
[32]
SDO
0.8 0.081 "probably" plutino (2:3 resonant)
or ? "possibly" SDO

Largest measured candidates

The following trans-Neptunian objects have measured diameters at least 600km (400miles) to within measurement uncertainties; this was the threshold to be considered a "highly likely" dwarf planet in Brown's early assessment. Grundy et al. speculated that 600 km to 700 km diameter could represent "the upper limit to retain substantial internal pore space", and that objects around 900 km could have collapsed interiors but fail to completely differentiate.[3] The two satellites of TNOs that surpass this threshold have also been included: Pluto's moon Charon and Eris' moon Dysnomia. The next largest TNO moon is Orcus' moon Vanth at and a poorly constrained, with an albedo of about 8%.

Ceres, generally accepted as a dwarf planet, is added for comparison. Also added for comparison is Triton, which is thought to have been a dwarf planet in the Kuiper belt before it was captured by Neptune.

Bodies with very poorly known sizes (e.g. "Farout") have been excluded. Complicating the situation for poorly known bodies is that a body assumed to be a large single object might turn out to be a binary or ternary system of smaller objects, such as or Lempo. A 2021 occultation of ("Buffy") found a chord of 560 km: if the body is approximately spherical, it is likely that the diameter is greater than 560 km, but if it is elongated, the mean diameter may well be less. Explanations and sources for the measured masses and diameters can be found in the corresponding articles linked in column "Designation" of the table.

All of these categories are subject to change with further evidence.

Possible dwarf planets with measured sizes or masses
(satellites Triton, Charon, Dysnomia included for comparison)
data-sort-type="number"Designationdata-sort-type="number" Hdata-sort-type="number" Geometric
albedo
data-sort-type="number" Diameter
Methoddata-sort-type="number"Mass
data-sort-type="number"Density
Category
Neptune I Triton data-sort-value="77.5%"60% to 95% directsatellite of Neptune
data-sort-value="57.5%"49% to 66% direct2:3 resonant
96% occultationSDO
49% occultationcubewano
83% occultationcubewano
14% thermal3:10 resonant
data-sort-value="35%"20% to 50% directsatellite of Pluto
11% occultationcubewano
9% directasteroid belt
23% ± 2% thermal2:3 resonant
41% thermal? ?detached
5% thermalcubewano
10% occultation?cubewano
11% thermal?cubewano
11% occultation? or
?
cubewano
18% thermal?SDO
10% occultation?2:3 resonant
11% occultation2:3 resonant
8% thermal?cubewano
11% thermal?cubewano
12% thermalcubewano
14% occultationSDO
12% thermalcubewano
11% occultation?SDO
14% thermal?SDO
data-sort-value="5%"% thermal < data-sort-value=""satellite of Eris
5% thermal?cubewano
4% thermal?SDO

Brightest unmeasured candidates

For objects without a measured size or mass, sizes can only be estimated by assuming an albedo. Most sub-dwarf objects are thought to be dark, because they haven't been resurfaced; this means that they are also relatively large for their magnitudes. Below is a table for assumed albedos between 4% (the albedo of Salacia) and 20% (a value above which suggests resurfacing), and the sizes objects of those albedos would need to be (if round) to produce the observed absolute magnitude. Backgrounds are blue for >900 km and teal for >600 km.

H!rowspan=2
Objects with this magnitude (H)Assumed albedo (p)
4% 6% 8% 10% 12% 14% 16% 18% 20%
3.6 (H = 3.61 ± 0.15)
3.7
3.8,
3.9, (H = 3.92 ± 0.52)
4.0,,,
(H = 4.09 ± 0.31)
4.1, (H = 4.12 ± 0.35)
4.2 (H = 4.22 ± 0.1),,,
4.3,,
,
4.4,,
4.5,,
4.6 (H = 4.6 ± 0.16),,,
,
4.7,,,
,,,
4.8,,,
,
4.9,,,
,,,
,,
5.0
5.1
5.2271 -->

See also

External links

Notes and References

  1. Web site: The Dwarf Planets. Mike Brown. 2008-01-20. Michael E. Brown.
  2. Web site: The Kuiper Belt at 20: Paradigm Changes in Our Knowledge of the Solar System . 24 August 2012 . Stern . Alan . Alan Stern . . Today we know of more than a dozen dwarf planets in the solar system [and] it is estimated that the ultimate number of dwarf planets we will discover in the Kuiper Belt and beyond may well exceed 10,000..
  3. Grundy . W.M. . Noll . K.S. . Buie . M.W. . Benecchi . S.D. . Ragozzine . D. . Roe . H.G. . The mutual orbit, mass, and density of transneptunian binary Gǃkúnǁʼhòmdímà . Icarus . December 2019 . 334 . 30–38 . 10.1016/j.icarus.2018.12.037 . 126574999 . live . https://web.archive.org/web/20190407045339/http://www2.lowell.edu/~grundy/abstracts/preprints/2019.G-G.pdf . 2019-04-07 .
  4. Web site: What's Inside Ceres? New Findings from Gravity Data . 2 August 2016 .
  5. Web site: . IAU 2006 General Assembly: Result of the IAU Resolution votes . 24 August 2006 . 2008-01-26 . dead . https://web.archive.org/web/20070103145836/http://www.iau.org/iau0603.414.0.html . 2007-01-03 . dmy-all.
  6. Web site: Dwarf Planets . . 2008-01-22 . https://web.archive.org/web/20120723014035/http://solarsystem.nasa.gov/planets/profile.cfm?Object=Dwarf&Display=OverviewLong . 2012-07-23 . dead . dmy-all.
  7. Plutoid chosen as name for Solar System objects like Pluto . 11 June 2008 . 2008-06-15 . https://web.archive.org/web/20110702012327/http://iau.org/public_press/news/detail/iau0804 . 2011-07-02 . dead . dmy-all.
  8. A basin-free spherical shape as an outcome of a giant impact on asteroid Hygiea . etal . Vernazza . P. . Jorda . L. . Ševeček . P. . Brož . M. . Viikinkoski . M. . Hanuš . J. . Nature Astronomy . 273 . 2 . 136–141 . 10.1038/s41550-019-0915-8 . 10045/103308 . 2019-10-28. 2020 . 2020NatAs...4..136V . 209938346 . free.
  9. Savage, Don . Jones, Tammy . Villard, Ray . 1995-04-19 . Asteroid or mini-planet? Hubble maps the ancient surface of Vesta . News Release STScI-1995-20 . . 2006-10-17 . dmy-all.
  10. 1911.13049. 10.1051/0004-6361/201936639. (704) Interamnia: A transitional object between a dwarf planet and a typical irregular-shaped minor body. 2020. Hanuš. J.. Vernazza. P.. Viikinkoski. M.. Ferrais. M.. Rambaux. N.. Podlewska-Gaca. E.. Drouard. A.. Jorda. L.. Jehin. E.. Carry. B.. Marsset. M.. Marchis. F.. Warner. B.. Behrend. R.. Asenjo. V.. Berger. N.. Bronikowska. M.. Brothers. T.. Charbonnel. S.. Colazo. C.. Coliac. J.-F.. Duffard. R.. Jones. A.. Leroy. A.. Marciniak. A.. Melia. R.. Molina. D.. Nadolny. J.. Person. M.. Pejcha. O.. 208512707. Astronomy & Astrophysics. 633. A65. 2020A&A...633A..65H. 29.
  11. Web site: Iapetus' peerless equatorial ridge . www.planetary.org . 2 April 2018.
  12. Book: https://meetingorganizer.copernicus.org/EPSC2018/EPSC2018-645-1.pdf. 4. Raymond, C.. Castillo-Rogez, J.C.. Park, R.S.. Ermakov, A.. Bland, M.T.. Marchi, S.. Prettyman, T.. Ammannito, E.. De Sanctis, M.C.. Russell, C.T.. September 2018. Dawn Data Reveal Ceres' Complex Crustal Evolution. European Planetary Science Congress. 12. 19 July 2020. 30 January 2020. https://web.archive.org/web/20200130111631/https://meetingorganizer.copernicus.org/EPSC2018/EPSC2018-645-1.pdf. live.
  13. Garrick . Bethell . etal . 2014 . The tidal-rotational shape of the Moon and evidence for polar wander . Nature . 512 . 7513 . 181–184. 10.1038/nature13639 . 25079322 . 2014Natur.512..181G . 4452886 .
  14. Book: Google Books . https://books.google.com/books?id=QzXZs_xSLk4C&q=Hydrostatic+equilibrium+mercury&pg=PA23 . Mercury . Hydrostatic equilibrium of Mercury. 23. 9780387775395. Balogh. A.. Ksanfomality. Leonid. Steiger. Rudolf von. Springer Science & Business Media. 23 February 2008.
  15. The low-degree shape of Mercury. etal. Mark E.. Perry. Gregory A.. Neumann. Roger J.. Phillips. Olivier S.. Barnouin. Carolyn M.. Ernst. Daniel S.. Kahan. Geophysical Research Letters. 42. 17. 6951–6958. September 2015. free. 10.1002/2015GL065101. 2015GeoRL..42.6951P. 103269458.
  16. https://web.archive.org/web/20131113235927/http://www.gps.caltech.edu/~mbrown/dps.html How many dwarf planets are there in the outer solar system? (updates daily)
  17. Grundy . W.M. . Noll . K.S. . Roe . H.G. . Buie . M.W. . Porter . S.B. . Parker . A.H. . Nesvorný . D. . Levison . H.F. . Benecchi . S.D. . Stephens . D.C. . Trujillo . C.A. . 6 . Mutual orbit orientations of transneptunian binaries . Icarus . December 2019 . 334 . 62–78 . 10.1016/j.icarus.2019.03.035 . 2019Icar..334...62G . 133585837 . dead . https://web.archive.org/web/20190407052940/http://www2.lowell.edu/~grundy/abstracts/preprints/2019.TNB_orbits.pdf . 2019-04-07 . dmy-all.
  18. etal . D. . Souami . F. . Braga-Ribas . B. . Sicardy . B. . Morgado . J. L. . Ortiz . J. . Desmars . August 2020 . A multi-chord stellar occultation by the large trans-Neptunian object (174567) Varda . Astronomy & Astrophysics . 643 . A125 . 10.1051/0004-6361/202038526 . 2008.04818 . 2020A&A...643A.125S . 221095753 .
  19. Emery. J. P. . I. . Wong . R. . Brunetto . J. C. . Cook . N. . Pinilla-Alonso . J. A. . Stansberry . B. J. . Holler . W. M. . Grundy . S. . Protopapa . A. C. . Souza-Feliciano . E. . Fernández-Valenzuela . J. I. . Lunine . D. C. . Hines . 26 September 2023. A Tale of 3 Dwarf Planets: Ices and Organics on Sedna, Gonggong, and Quaoar from JWST Spectroscopy. 2309.15230. astro-ph.EP.
  20. Web site: Report of Division F “Planetary Systems and Astrobiology”: Annual Report 2022-23 . 2022–2023 . International Astronomical Union . 8 December 2023 .
  21. Web site: 'Planet Definition' Questions & Answers Sheet . International Astronomical Union . August 24, 2006 . October 16, 2021.
  22. Sean Solomon, Larry Nittler & Brian Anderson, eds. (2018) Mercury: The View after MESSENGER. Cambridge Planetary Science series no. 21, Cambridge University Press. Chapter 3.
  23. plutokiller . Brown . Mike . 1624127764969459713 . The real answer here is to not get too hung up on definitions, which I admit is hard when the IAU tries to make them sound official and clear, but, really, we all understand the intent of the hydrostatic equilibrium point, and the intent is clearly to include Merucry & the moon.
  24. etal . C. . Kiss . T. G. . Müller . G. . Marton . R. . Szakáts . A. . Pál . L. . Molnár . The visible and thermal light curve of the large Kuiper belt object (50000) Quaoar . Astronomy & Astrophysics . March 2024 . forthcoming . 10.1051/0004-6361/202348054 . 2401.12679 . 2024arXiv240112679K.
  25. Cowen, R. (2007). Idiosyncratic Iapetus, Science News vol. 172, pp. 104–106. references
  26. 10.1016/j.icarus.2010.01.025. Thomas. P. C.. July 2010. Sizes, shapes, and derived properties of the saturnian satellites after the Cassini nominal mission. Icarus. 208. 1. 395–401. 2010Icar..208..395T. 2015-09-25. 2018-12-23. https://web.archive.org/web/20181223003125/http://www.ciclops.org/media/sp/2011/6794_16344_0.pdf. dead.
  27. Emily Lakdawalla et al., What Is A Planet? The Planetary Society, 21 April 2020
  28. Chen . Jingjing . Kipping . David . 2016 . Probabilistic Forecasting of the Masses and Radii of Other Worlds . The Astrophysical Journal . 834 . 1 . 17 . 10.3847/1538-4357/834/1/17. 1603.08614 . 119114880 . free .
  29. The Shape of Triton from Limb Profiles. Thomas, P.C.. Icarus. 148. 2. December 2000. 587–588. 10.1006/icar.2000.6511. 2000Icar..148..587T. free.
  30. On the asphericity of the figures of Pluto and Charon. Kholshevnikovab, K.V.. Borukhaa, M.A.. Eskina, B.B.. Mikryukov, D.V.. Icarus. 104777. 23 October 2019. 181. 10.1016/j.pss.2019.104777. 209958465.
  31. Book: https://meetingorganizer.copernicus.org/EPSC2018/EPSC2018-645-1.pdf. 4. Raymond, C.. Castillo-Rogez, J.C.. Park, R.S.. Ermakov, A.. Bland, M.T.. Marchi, S.. Prettyman, T.. Ammannito, E.. De Sanctis, M.C.. Russell, C.T.. September 2018. Dawn Data Reveal Ceres' Complex Crustal Evolution. European Planetary Science Congress. 12.
  32. Web site: Hall . S. . 2016-07-15 . New-Found Dwarf Planet Points to Solar System's Chaotic Past . 2024-07-16 . Eos . en-US.