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Shape and spin state model of contact binary (388188) 2006 DP14using combined radar and optical observations

Richard CannonInstitute for Astronomy, University of Edinburgh , Royal Observatory, Edinburgh, EH9 3HJ ,Agata RożekInstitute for Astronomy, University of Edinburgh , Royal Observatory, Edinburgh, EH9 3HJ ,M. BrozovićJet Propulsion Laboratory, California Institute of Technology , Pasadena, CA 91109 ,Petr PravecAstronomical Institute of the Czech Academy of Sciences , Fričova 298, CZ-25165 Ondřejov ,C. SnodgrassInstitute for Astronomy, University of Edinburgh , Royal Observatory, Edinburgh, EH9 3HJ ,Michael W. BuschSETI Institute , Mountain View CA 94043 ,James E. RobinsonInstitute for Astronomy, University of Edinburgh , Royal Observatory, Edinburgh, EH9 3HJ ,A. DonaldsonInstitute for Astronomy, University of Edinburgh , Royal Observatory, Edinburgh, EH9 3HJ ,Tanja HolcInstitute for Astronomy, University of Edinburgh , Royal Observatory, Edinburgh, EH9 3HJ ,L. A. M. BennerJet Propulsion Laboratory, California Institute of Technology , Pasadena, CA 91109 ,Shantanu P. NaiduJet Propulsion Laboratory, California Institute of Technology , Pasadena, CA 91109 ,P. KušnirákAstronomical Institute of the Czech Academy of Sciences , Fričova 298, CZ-25165 Ondřejov ,Daniel GardenerInstitute for Astronomy, University of Edinburgh , Royal Observatory, Edinburgh, EH9 3HJ ,H. KučákováAstronomical Institute of the Czech Academy of Sciences , Fričova 298, CZ-25165 Ondřejov ,Elahe KhaloueiSeoul National University , Gwanak-gu, Seoul ,J. T. PollockPhysics and Astronomy Department, Appalachian State University , Boone, NC 28608 ,M. BonavitaInstitute for Astronomy, University of Edinburgh , Royal Observatory, Edinburgh, EH9 3HJ ,Petr FatkaAstronomical Institute of the Czech Academy of Sciences , Fričova 298, CZ-25165 Ondřejov ,K. HornochAstronomical Institute of the Czech Academy of Sciences , Fričova 298, CZ-25165 Ondřejov ,Sedighe SajadianPerimeter Institute for Theoretical Physics , Waterloo, ON N2L 2Y5 ,L. AlegreCentre for Astrophysics Research, Department of Physics, Astronomy and Mathematics, University of Hertfordshire , College Lane, Hatfield AL10 9AB ,Flavia AmadioNiels Bohr Institute , Jagtvej 155A, 2200 Copenhagen N ,M. I. AndersenNiels Bohr Institute , Jagtvej 155A, 2200 Copenhagen N ,V. BozzaAlma Mater Studiorum - University of Bologna , Dipartimento di Fisica e Astronomia ‘Augusto Righi’, Via Gobetti 93/2, 40129 Bologna ,M. BurgdorfUniversität Hamburg, Faculty of Mathematics, Informatics and Natural Sciences, Department of Earth Sciences, Meteorological Institute , Bundesstraße 55, 20146 Hamburg ,G. ColumbaAlma Mater Studiorum - University of Bologna , Dipartimento di Fisica e Astronomia ‘Augusto Righi’, Via Gobetti 93/2, 40129 Bologna ,M. DominikCentre for Exoplanet Science, SUPA, School of Physics & Astronomy, University of St Andrews , North Haugh, St Andrews KY16 9SS ,R. Figuera JaimesCentre for Exoplanet Science, SUPA, School of Physics & Astronomy, University of St Andrews , North Haugh, St Andrews KY16 9SS ,T. C. HinseUniversity of Southern Denmark, Department of Physics, Chemistry and Pharmacy , SDU-Galaxy, Campusvej 55, 5230, Odense M ,M. HundertmarkAstronomisches Rechen-Institut, Zentrum für Astronomie der Universität Heidelberg (ZAH) , 69120 Heidelberg ,U. G. JørgensenCentro de Astronomía, Universidad de Antofagasta , Av. Angamos 601, Antofagasta ,Penélope Longa-PeñaInstituto de Astrofísica e Ciências do Espaço, Departamento de Física, Universidade de Coimbra , 3040-004, Coimbra ,N. PeixinhoInstituto de Astrofísica e Ciências do Espaço, Departamento de Física, Universidade de Coimbra , 3040-004, Coimbra ,M. RabusDepartamento de Matemática y Física Aplicadas, Facultad de Ingeniería, Universidad Católica de la Santísima Concepción , Alonso de Rivera 2850, Concepción ,S. RahvarPerimeter Institute for Theoretical Physics , Waterloo, ON N2L 2Y5 ,P. RotaAlma Mater Studiorum - University of Bologna , Dipartimento di Fisica e Astronomia ‘Augusto Righi’, Via Gobetti 93/2, 40129 Bologna ,J. SkottfeltCentre for Electronic Imaging, Department of Physical Sciences, The Open University, Milton Keynes , MK7 6AA ,J. SouthworthAstrophysics Group, Keele University , Staffordshire, ST5 5BG ,J. Tregloan-ReedInstituto de Astronomia y Ciencias Planetarias, Universidad de Atacama , Copayapu 485, Copiapo ,
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Abstract Contact binaries are found throughout the solar system. The recent discovery of Selam, the satellite of MBA (152830) Dinkinesh, by the NASA LUCY mission has made it clear that the term ‘contact binary’ covers a variety of different types of bi-modal mass distributions and formation mechanisms. Only by modelling more contact binaries can this population be properly understood. We determined a spin state and shape model for the Apollo group contact binary asteroid (388188) 2006 DP14using ground-based optical and radar observations collected between 2014 and 2023. Radar delay-Doppler images and continuous wave spectra were collected over two days in February 2014, while 16 lightcurves in the Cousins R and SDSS-r filters were collected in 2014, 2022 and 2023. We modelled the spin state using convex inversion before using the SHAPE modelling software to include the radar observations in modelling concavities and the distinctive neck structure connecting the two lobes. We find a spin state with a period of (5.7860 ± 0.0001) hours and pole solution of λ = (180 ± 121)○ and β = ( − 80 ± 7)○ with morphology indicating a 520 m long bi-lobed shape. The model’s asymmetrical bi-modal mass distribution resembles other small NEA contact binaries such as (85990) 1999 JV6or (8567) 1996 HW1, which also feature a smaller ‘head’ attached to a larger ‘body’. The final model features a crater on the larger lobe, similar to several other modelled contact binaries. The model’s resolution is 25 m, comparable to that of the radar images used.

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