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J/A+A/320/652 Mass of (11) Parthenope (Viateau+ 1997)
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The Bordeaux meridian observations of asteroids. First determination
of the mass of (11) Parthenope
Viateau B., Rapaport M.
<Astron. Astrophys. 320, 652 (1997)>
=1997A&A...320..652V (SIMBAD/NED BibCode)
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ADC_Keywords: Minor planets ; Ephemerides
Keywords: minor planets, asteroids - astrometry - ephemerides -
planets: 11 Parthenope; 4 Vesta; 17 Thetis
Abstract:
The asteroid observations made with the automatic meridian circle at
Bordeaux observatory from 1985 to 1994, and which have recently become
available, are presented. The residuals of these observations obtained
using the orbital elements published in the ``Ephemerides of Minor
Planets for 1996'' are analysed. An anomaly for the asteroid (17)
Thetis was found, indicating a current close encounter between this
asteroid and (4) Vesta. Such an encounter will allow very interesting
determinations of the mass of Vesta to be made in the future. Lastly,
our determination of the mass of (11) Parthenope is discussed, which
was based on its perturbations on the orbit of Thetis. The result
obtained, (2.58+/-0.10)x10^-12^M{sun}, appears significant.
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
fig5.ps 132 469 Future perturbations of Thetis by Parthenope
fig8a.ps 132 511 Past perturbation of Thetis by Parthenope
fig8b.ps 132 513 Past perturbation of Thetis by Parthenope
fig9.ps 132 362 Distance between Thetis and Europa
fig11.ps 132 756 Thetis residuals
fig12a.ps 132 764 Thetis residuals (last iteration)
fig12b.ps 132 491 Thetis residuals (only used observations)
table1 23 133 List of the asteroids observed with the
table7 88 5 *Orbital elements of Thetis integrated for
current and future dates
table1.ps 106 1492 PostScript file of table1
table5.ps 106 511 PostScript file of table5
table6.ps 106 711 PostScript file of table6
table7.ps 106 597 PostScript file of table7
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Note on table7: Data taking into account the perturbations of (4) Vesta
(mass assumed 1.35x10^-10^M_0_) and (11) Parthenope (2.58x10^-12^M_0_)
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Byte-by-byte Description of file: table1
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Bytes Format Units Label Explanations
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1- 3 I3 --- No Asteroid number
5- 16 A12 --- Name Asteroid name
18 A1 --- n_Name [H] H: asteroid in the preliminary Hipparcos list
20- 22 I3 ---- Nobs Number of observations made from 1985 to 1994
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Byte-by-byte Description of file: table7
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Bytes Format Units Label Explanations
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1- 9 F9.1 d Epoch Julian observation epoch
12- 21 A10 --- Date Observation date (YY/MM/DD.D)
23- 33 F11.9 AU a Semi-major axis
35- 44 F10.8 --- e Ellipticity
47- 54 F8.6 deg i Inclination
56- 65 F10.6 deg W Longitude of the ascending node (OMEGA)
67- 76 F10.6 deg w Longitude of perihelion (omega)
78- 87 F10.6 deg M Mean anomaly
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Table 5: Correlation coefficients of the resolved system;
rows 1 to 6 correspond respectively to the rectangular coordinates of
initial position and velocity of (17) Thetis, while the last row
concerns the mass of (11) Parthenope
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(17) Thetis (11) Parthenope
X0 Y0 Z0 VX0 VY0 VZ0 Mass
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X0 | 1.00
Y0 | -0.21 1.00
Z0 | -0.09 -0.76 1.00
VX0 | 0.68 0.25 -0.04 1.00
VY0 | 0.92 -0.12 -0.22 0.57 1.00
VZ0 | 0.45 -0.27 0.11 0.40 0.26 1.00
Mass | -0.60 0.07 0.11 -0.44 -0.72 -0.32 1.00
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Table 6: Solutions for the mass of (11) Parthenope and the orbital elements
of (17) Thetis calculated using different values for the mass of (4) Vesta;
"s" is the standard deviation of the residuals calculated with each
solution; the central value of the mass of Vesta (1.35x10^-10^M_0_)
is the value used to calculate the solution given in Table 4
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Mass Mass obtained | Difference with the orbital elements | sigma
of for | of Thetis given in Table 4 |
Vesta Parthenope | Da De Di DW Dw DM | residuals
(10^10^M_0_) | 10^-9^AU 10^-8^ ( 10^-6^deg ) | "
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1.2 2.57 | 2 0 0 1 0 -1 | 0.85
1.3 2.58 | 1 0 0 1 0 0 | 0.85
1.35 2.58 | | 0.85
1.4 2.59 | -1 0 0 1 0 0 | 0.85
1.5 2.60 | -2 0 0 1 0 0 | 0.85
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Acknowledgements: Bruno Viateau <Viateau@observ.u-bordeaux.fr>
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(End) Patricia Bauer [CDS] 03-Apr-1997