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J/AJ/154/76          Masses of 30 large subject asteroids          (Baer+, 2017)

Simultaneous mass determination for gravitationally coupled asteroids. Baer J., Chesley S.R. <Astron. J., 154, 76-76 (2017)> =2017AJ....154...76B (SIMBAD/NED BibCode)
ADC_Keywords: Solar system ; Minor planets Keywords: astrometry - celestial mechanics - ephemerides Abstract: The conventional least-squares asteroid mass determination algorithm allows us to solve for the mass of a large subject asteroid that is perturbing the trajectory of a smaller test asteroid. However, this algorithm is necessarily a first approximation, ignoring the possibility that the subject asteroid may itself be perturbed by the test asteroid, or that the encounter's precise geometry may be entangled with encounters involving other asteroids. After reviewing the conventional algorithm, we use it to calculate the masses of 30 main-belt asteroids. Compared to our previous results, we find new mass estimates for eight asteroids (11 Parthenope, 27 Euterpe, 51 Neimausa, 76 Freia, 121 Hermione, 324 Bamberga, 476 Hedwig, and 532 Herculina) and significantly more precise estimates for six others (2 Pallas, 3 Juno, 4 Vesta, 9 Metis, 16 Psyche, and 88 Thisbe). However, we also find that the conventional algorithm yields questionable results in several gravitationally coupled cases. To address such cases, we describe a new algorithm that allows the epoch state vectors of the subject asteroids to be included as solve-for parameters, allowing for the simultaneous solution of the masses and epoch state vectors of multiple subject and test asteroids. We then apply this algorithm to the same 30 main-belt asteroids and conclude that mass determinations resulting from current and future high-precision astrometric sources (such as Gaia) should conduct a thorough search for possible gravitational couplings and account for their effects. Description: Our variational analysis yielded the 228 valid mass determinations for 30 large subject asteroids listed in Table1. File Summary:
FileName Lrecl Records Explanations
ReadMe 80 . This file ast.dat 14 30 Large subject asteroids table1.dat 42 251 Masses measured using the traditional method
See also: B/astorb : Orbits of Minor Planets (Bowell+ 2014) Byte-by-byte Description of file: ast.dat
Bytes Format Units Label Explanations
1- 3 I3 --- Ast [1/804] Subject asteriod number 5- 14 A10 --- Name Subject asteriod name
Byte-by-byte Description of file: table1.dat
Bytes Format Units Label Explanations
1- 3 I3 --- Ast [1/804] Subject asteriod number 5- 11 A7 --- Test Test asteriod identifier (Average=weighted average mass) 13- 21 E9.3 Msun Mass [5.6e-13/4.78e-10] Measured mass 23- 30 E8.2 Msun e_Mass [4.58e-14/7.77e-11] Standard deviation in Mass 32- 36 F5.3 arcsec rms [0.292/0.681]? RMS observational error 38- 42 F5.1 --- Signi [2.1/707.9] Significance
History: From electronic version of the journal
(End) Prepared by [AAS]; Sylvain Guehenneux [CDS] 09-Nov-2017
The document above follows the rules of the Standard Description for Astronomical Catalogues.From this documentation it is possible to generate f77 program to load files into arrays or line by line

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