Summary for : (45) Eugenia

DynT.TT.BT T.L B T.DDensity (g/cm^3)Δρ/ρDiameter (km)ΔD/DMass (kg)ΔM/MRefAvg.M
MBAFCC- | --1.54 ± 0.42   (C)28 %199.7 ± 13.76.8 %6.41e+18 ± 1.18e+1818 %SEVM
MBAFCC- | --1.50 ± 0.69   (C)46 %195.8 ± 8.34.2 %5.90e+18 ± 2.62e+1844 %Sw.avg
MBAC1.34 ± 0.29   (C)22 %201.8 ± 14.87.3 %5.79e+18 ± 1.40e+172 %C?

Average asteroid densities (g/cm^3):
C = 1.3 ± 0.6, B = 2.4 ± 0.5, S = 2.7 ± 0.5, M = 3.5 ± 1.0, P = 2.8 ± 1.6, X = 1.9 ± 0.8, Xc = 4.9 ± 0.9, Xk = 4.2 ± 0.7 (Ref)

Additional resources:
3D Model | JPL New Horizons | Minor Planet Center | Wikipedia (these auto-generated links might not work)

Note: The density estimates have been ranked from (A) to (E), corresponding to the relative error: (B) less than 20%, (C) between 20 and 50%, (D) between 50 and 100%, and (E) more than 100%. (A) stands for (presumably) reliable estimates (accuracy better than 20%), based on more than 5 mass estimates and 5 diameter estimates, or a spacecraft encounter. Apparently unrealistic densities (ρ > 8) are tagged with (X).

EVM: average by using the Expected Value Method (Ref). w.avg: weighted average (with w = 1/err^2).

T.T: Tholen Tax Class. T.B: Bus & Binzel Tax Class. T T.L: S3OS2 Lazarro (Tholen) Tax Class. T.L B: S3OS2 Lazarro (Bus & Binzel) Tax Class. T.D: DeMeo Tax Class.

Ref: S = SiMDA, C = Carry (2012)

Diameter estimates

DesignationDiameter / Err (km)ΔD/DMethodYearRefNχ2Use
(45) Eugenia214.63 ± 4.192.0 % STM2004D93 12.64 1
(45) Eugenia202.00 ± 5.002.5 % Img2006D34 0.21 2
(45) Eugenia217.00 ± 8.003.7 % NEATM2008D47 4.66 3
(45) Eugenia193.00 ± 15.007.8 % Img2008D47 0.20 4
(45) Eugenia193.70 ± 19.3910.0 % STM2010D64 0.10 5
(45) Eugenia239.24 ± 14.346.0 % NEATM2010D642 7.59 6
(45) Eugenia183.57 ± 2.841.5 % STM2011D832 32.40 7
(45) Eugenia206.13 ± 6.213.0 % NEATM2011D72 1.06 8
(45) Eugenia186.00 ± 4.002.2 % ADAM2017D1002 11.79 9

plot, average diameter and derived density

All

Notes (N):
1: This estimate is discarded for the average diameter (and derived density) calculation in Carry (2012).
2: This estimate is discarded for the average diameter (and derived density) calculation in SiMDA (catalog).

ADAM : All-Data Asteroid Modeling. Img : Apparent size in disk-resolved imaging. NEATM : Near-Earth Asteroid Thermal Model. STM : Standard Thermal Model.


0246810180200220240
Diameter estimates for : (45) EugeniaDiameter in km

EVM diam. average D = (199.7 ± 13.67) km   (ΔD/D = 7%, SNR = 14.62) Derived bulk density ρ = (1.54 ± 0.42) g/cm3   (Δρ/ρ = 28%, SNR = 3.6)


References
D34(2006):Marchis, F., Kaasalainen, M., Hom, E.F.Y., Berthier, J., Enriquez, J., Hestroffer, D., Le Mignant, D., de Pater, I., 2006. Shape, size and multiplicity of main-belt asteroids. Icarus 185, 39–63.
D47(2008):Marchis, F., Descamps, P., Baek, M., Harris, A.W., Kaasalainen, M., Berthier, J., Hestroffer, D., Vachier, F., 2008. Main belt binary asteroidal systems with circular mutual orbits. Icarus 196, 97–118.
D64(2010):Ryan, E.L., Woodward, C.E., 2010. Rectified Asteroid Albedos and Diameters from IRAS and MSX Photometry Catalogs. Astronomical Journal 140, 933–943.
D72(2011):Masiero, J.R., Mainzer, A.K., Grav, T., Bauer, J.M., Cutri, R.M., Dailey, J., Eisenhardt, P.R.M., McMillan, R.S., Spahr, T.B., Skrutskie, M.F., Tholen, D., Walker, R.G., Wright, E.L., DeBaun, E., Elsbury, D., Gautier, IV, T., Gomillion, S., Wilkins, A., 2011. Main Belt Asteroids with WISE/NEOWISE. I. Preliminary Albedos and Diameters. Astrophysical Journal 741, 68.
D83(2011):Usui, F., Kuroda, D., Müller, T.G., Hasegawa, S., Ishiguro, M., Ootsubo, T., Ishihara, D., Kataza, H., Takita, S., Oyabu, S., Ueno, M., Matsuhara, H., Onaka, T., 2011. Asteroid Catalog Using Akari: AKARI/IRC Mid-Infrared Asteroid Survey. Publications of the Astronomical Society of Japan 63, 1117–1138.
D93(2004):Tedesco, E.F., Noah, P.V., Noah, M.C., Price, S.D., 2004. IRAS Minor Planet Survey. NASA Planetary Data System. IRAS-A-FPA-3-RDR-IMPS-V6.0.
D100(2017):Hanuš, J., Viikinkoski, M., Marchis, F., et al., 2017. Volumes and bulk densities of forty asteroids from ADAM shape modeling. Astronomy and Astrophysics 601, A114 (2017). DOI: 10.1051/0004-6361/201629956

Mass estimates

DesignationMass / Err (kg)ΔM/MMethodYearRefNχ2Use
(45) Eugenia2.98e+18 ± 2.98e+18100 %Deflec 1999M18121.33 1
(45) Eugenia5.97e+18 ± 1.99e+173 %BinImg 1999M194.93 2
(45) Eugenia6.96e+18 ± 3.98e+176 %Deflec 2001M2811.90 3
(45) Eugenia1.99e+18 ± 5.97e+18300 %Ephem 2007M62120.55 4
(45) Eugenia5.69e+18 ± 1.19e+172 %BinImg 2008M7536.80 5
(45) Eugenia1.79e+19 ± 5.97e+1833 %Deflec 2008M78123.70 6
(45) Eugenia5.95e+18 ± 5.95e+1710 %Ephem 2009M8610.60 7
(45) Eugenia7.68e+18 ± 2.81e+1837 %Deflec 2011M9710.20 8
(45) Eugenia7.11e+18 ± 1.63e+1823 %Deflec 2011M9710.18 9
(45) Eugenia7.57e+18 ± 1.62e+1821 %Deflec 2011M9710.51 10
(45) Eugenia1.14e+19 ± 1.97e+1817 %Deflec 2011M97126.41 11
(45) Eugenia6.36e+18 ± 3.98e+176 %OrbFitN 2014M1230.02 12
(45) Eugenia7.50e+18 ± 1.85e+1825 %Ephem 2019M1260.34 13

plot, average mass and derived density

All

Notes (N):
1: This estimate is discarded for the average mass (and derived density) calculation in Carry (2012).
2: This estimate is discarded for the average mass (and derived density) calculation in SiMDA (catalog).
3: This estimate is an average of individual solutions listed before under the same reference (e.g. M125).

BinImg : Binary imaged at optical wavelength. Deflec : Orbital deflection (close encounter) of one or several test asteroids (classical LSQ). Ephem : Planetary ephemeris solution. OrbFitN : Simultaneous multi-asteroid astrometric orbit solution (similar to 'Ephem').


0510−0.5×10​19​00.5×10​19​1×10​19​1.5×10​19​2×10​19​2.5×10​19​
Mass estimates for : (45) EugeniaMass in kg

EVM mass average M = (6.412 ± 1.185) × 1018 kg   (ΔM/M = 18%, SNR = 5.4) Derived bulk density ρ = (1.54 ± 0.42) g/cm3   (Δρ/ρ = 28%, SNR = 3.6)


References
M18(1999):Vasiliev, M.V., Yagudina, E.I., 1999. Determination of masses for 26 selected minor planets from analysis of observations their mutual encounters with asteroids of lesser mass, in: Communications of IAA of RAS.
M19(1999):Merline, W.J., Close, L.M., Dumas, C., Chapman, C.R., Roddier, F., Ménard, F., Slater, D.C., Duvert, G., Shelton, C., Morgan, T., 1999. Discovery of a moon orbiting the asteroid 45 Eugenia. Nature 401, 565–568.
M28(2001):Krasinsky, G.A., Pitjeva, E.V., Vasiliev, M.V., Yagudina, E.I., 2001. Estimating masses of asteroids, in: Communications of IAA of RAS.
M62(2007):Aslan, Z., Gumerov, R., Hudkova, L., Ivantsov, A., Khamitov, I., Pinigin, G., 2007. Mass Determination of Small Solar System Bodies with Ground-based Observations, in: O. Demircan, S. O. Selam, & B. Albayrak (Ed.), Solar and Stellar Physics Through Eclipses, pp. 52–58.
M75(2008):Marchis, F., Descamps, P., Baek, M., Harris, A.W., Kaasalainen, M., Berthier, J., Hestroffer, D., Vachier, F., 2008a. Main belt binary asteroidal systems with circular mutual orbits. Icarus 196, 97–118.
M78(2008):Ivantsov, A., 2008. Asteroid mass determination at Nikolaev Observatory. Planetary and Space Science 56, 1857–1861.
M86(2009):Folkner, W.M., Williams, J.G., Boggs, D.H., 2009. The planetary and lunar ephemeris de 421. IPN Progress Report 42, 1–34.
M97(2011):Zielenbach, W., 2011. Mass Determination Studies of 104 Large Asteroids. Astronomical Journal 142, 120–128.
M123(2014):Goffin, E., 2014. Astrometric asteroid masses: a simultaneous determination. Astronomy & Astrophysics, Volume 565, id.A56, 8 pp.
M126(2019):Fienga, A., et. al, 2019. INPOP19a planetary ephemeris. Notes Scientifiques et Techniques de l'Institut de mécanique céleste,