The Hoffmeister asteroid family

Abstract

The Hoffmeister family is a C-type group located in the central main belt. Dynamically, it is important because of its interaction with the ${\nu }_{1C}$ nodal secular resonance with Ceres, that significantly increases the dispersion in inclination of family members at lower semi-major axis. As an effect, the distribution of inclination values of the Hoffmeister family at semi-major axis lower than its center is significantly leptokurtic, and this can be used to set constraints on the terminal ejection velocity field of the family at the time it was produced. By performing an analysis of the time behaviour of the kurtosis of the $v_W$ component of the ejection velocity field (${\gamma }_2(v_W)$), as obtained from Gauss' equations, for different fictitious Hoffmeister families with different values of the ejection velocity field, we were able to exclude that the Hoffmeister family should be older than 335 Myr. Constraints from the currently observed inclination distribution of the Hoffmeister family suggest that its terminal ejection velocity parameter $V_{EJ}$ should be lower than 25~m/s. Results of a Yarko-YORP Monte Carlo method to family dating, combined with other constraints from inclinations and ${\gamma }_2(v_W)$, indicate that the Hoffmeister family should be $220_{-40}^{+60}$~Myr old, with an ejection parameter $V_{EJ}=20\pm 5$~m/s.

arXiv comment8 pages, 7 figures. Accepted for publication in MNRAS. arXiv admin note: text overlap with arXiv:1606.05189

References in corpus (10)

• Solar System Objects Observed in the SDSS Commissioning Data
• The taxonomic distribution of asteroids from multi-filter all-sky photometric surveys
• Asteroid families classification: exploiting very large data sets
• Asteroid family ages
• Constraining the cometary flux through the asteroid belt during the late heavy bombardment
• Revising the age for the Baptistina asteroid family using WISE/NEOWISE data
• Constraints on the original ejection velocity fields of asteroid families
• Dynamical evolution of the Cybele asteroids
• On the Astrid asteroid family
• On the highly inclined $v_W$ leptokurtic asteroid families

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