SiMDA»Main

Summary for : (45) Eugenia

Dyn	T.T	T.B	T T.L B	T.D	Density (g/cm^3)	Δρ/ρ	Diameter (km)	ΔD/D	Mass (kg)	ΔM/M	Ref	Avg.M
MBA	FC	C	- \| -	-	1.54 ± 0.42 (C)	28 %	199.7 ± 13.7	6.8 %	6.41e+18 ± 1.18e+18	18 %	S	EVM
MBA	FC	C	- \| -	-	1.50 ± 0.69 (C)	46 %	195.8 ± 8.3	4.2 %	5.90e+18 ± 2.62e+18	44 %	S	w.avg
MBA	C				1.34 ± 0.29 (C)	22 %	201.8 ± 14.8	7.3 %	5.79e+18 ± 1.40e+17	2 %	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

Designation	Diameter / Err (km)	ΔD/D	Method	Year	Ref	N	χ²	Use
(45) Eugenia	214.63 ± 4.19	2.0 %	STM	2004	D93		12.64	1
(45) Eugenia	202.00 ± 5.00	2.5 %	Img	2006	D34		0.21	2
(45) Eugenia	217.00 ± 8.00	3.7 %	NEATM	2008	D47		4.66	3
(45) Eugenia	193.00 ± 15.00	7.8 %	Img	2008	D47		0.20	4
(45) Eugenia	193.70 ± 19.39	10.0 %	STM	2010	D64		0.10	5
(45) Eugenia	239.24 ± 14.34	6.0 %	NEATM	2010	D64	2	7.59	6
(45) Eugenia	183.57 ± 2.84	1.5 %	STM	2011	D83	2	32.40	7
(45) Eugenia	206.13 ± 6.21	3.0 %	NEATM	2011	D72		1.06	8
(45) Eugenia	186.00 ± 4.00	2.2 %	ADAM	2017	D100	2	11.79	9

plot, average diameter and derived density

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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.

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

Designation	Mass / Err (kg)	ΔM/M	Method	Year	Ref	N	χ²	Use
(45) Eugenia	2.98e+18 ± 2.98e+18	100 %	Deflec	1999	M18	12	1.33	1
(45) Eugenia	5.97e+18 ± 1.99e+17	3 %	BinImg	1999	M19		4.93	2
(45) Eugenia	6.96e+18 ± 3.98e+17	6 %	Deflec	2001	M28	1	1.90	3
(45) Eugenia	1.99e+18 ± 5.97e+18	300 %	Ephem	2007	M62	12	0.55	4
(45) Eugenia	5.69e+18 ± 1.19e+17	2 %	BinImg	2008	M75		36.80	5
(45) Eugenia	1.79e+19 ± 5.97e+18	33 %	Deflec	2008	M78	12	3.70	6
(45) Eugenia	5.95e+18 ± 5.95e+17	10 %	Ephem	2009	M86	1	0.60	7
(45) Eugenia	7.68e+18 ± 2.81e+18	37 %	Deflec	2011	M97	1	0.20	8
(45) Eugenia	7.11e+18 ± 1.63e+18	23 %	Deflec	2011	M97	1	0.18	9
(45) Eugenia	7.57e+18 ± 1.62e+18	21 %	Deflec	2011	M97	1	0.51	10
(45) Eugenia	1.14e+19 ± 1.97e+18	17 %	Deflec	2011	M97	12	6.41	11
(45) Eugenia	6.36e+18 ± 3.98e+17	6 %	OrbFitN	2014	M123		0.02	12
(45) Eugenia	7.50e+18 ± 1.85e+18	25 %	Ephem	2019	M126		0.34	13

plot, average mass and derived density

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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').

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,

Size, Mass and Density of Asteroids (SiMDA)

Summary for : (45) Eugenia

Diameter estimates

Mass estimates