Geometrical Distances of Extragalactic Binaries through Spectroastrometry

The growing “Hubble tension” has prompted the need for precise measurements of cosmological distances. This paper demonstrates a purely geometric approach for determining the distances to extragalactic binaries through a joint analysis of spectroastrometry (SA), radial velocity (RV), and light-curve...

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Main Authors: Yu-Yang Songsheng, Jian-Min Wang, Yuan Cao, XueFei Chen, JianPing Xiong, Zhi-Xiang Zhang, Rong-Gen Cai
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:The Astrophysical Journal
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Online Access:https://doi.org/10.3847/1538-4357/ad9d10
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author Yu-Yang Songsheng
Jian-Min Wang
Yuan Cao
XueFei Chen
JianPing Xiong
Zhi-Xiang Zhang
Rong-Gen Cai
author_facet Yu-Yang Songsheng
Jian-Min Wang
Yuan Cao
XueFei Chen
JianPing Xiong
Zhi-Xiang Zhang
Rong-Gen Cai
author_sort Yu-Yang Songsheng
collection DOAJ
description The growing “Hubble tension” has prompted the need for precise measurements of cosmological distances. This paper demonstrates a purely geometric approach for determining the distances to extragalactic binaries through a joint analysis of spectroastrometry (SA), radial velocity (RV), and light-curve (LC) observations. A parameterized model for the binary system is outlined, and simulated SA, RV, and LC data are computed to infer the probability distribution of model parameters based on the mock data. The impacts of data quality and binary parameters on the distance uncertainties are comprehensively analyzed, showcasing the method’s potential for high-precision distance measurements. For a typical eclipsing binary in the Large Magellanic Cloud, the distance uncertainty is approximately 6% under reasonable observational conditions. Within a specific range of data quality and input parameters, the distance measurement precision of individual binary star systems is generally better than 10%. As a geometric method based on the simplest dynamics, it is independent of empirical calibration, and the systematics caused by model selections can be tested using nearby binaries with known distances. By measuring multiple binary star systems or monitoring one binary system repeatedly, geometric distance measurements of nearby galaxies can be achieved, providing valuable insights into the Hubble tension and advancing our understanding of the Universe’s structure and evolution.
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institution Kabale University
issn 1538-4357
language English
publishDate 2025-01-01
publisher IOP Publishing
record_format Article
series The Astrophysical Journal
spelling doaj-art-1b64056282074398bc4c803831b817c52025-01-20T10:23:51ZengIOP PublishingThe Astrophysical Journal1538-43572025-01-0197918310.3847/1538-4357/ad9d10Geometrical Distances of Extragalactic Binaries through SpectroastrometryYu-Yang Songsheng0https://orcid.org/0000-0003-4042-7191Jian-Min Wang1https://orcid.org/0000-0001-9449-9268Yuan Cao2https://orcid.org/0000-0002-0354-2855XueFei Chen3https://orcid.org/0000-0001-5284-8001JianPing Xiong4https://orcid.org/0000-0003-4829-6245Zhi-Xiang Zhang5https://orcid.org/0000-0002-2419-6875Rong-Gen Cai6https://orcid.org/0000-0002-3539-7103Key Laboratory for Particle Astrophysics, Institute of High Energy Physics , Chinese Academy of Sciences, 19B Yuquan Road, Beijing 100049, People's Republic of China ; wangjm@ihep.ac.cn; Dongguan Neutron Science Center , 1 Zhongziyuan Road, Dongguan 523808, People’s Republic of ChinaKey Laboratory for Particle Astrophysics, Institute of High Energy Physics , Chinese Academy of Sciences, 19B Yuquan Road, Beijing 100049, People's Republic of China ; wangjm@ihep.ac.cn; School of Astronomy and Physics, University of Chinese Academy of Sciences , 19A Yuquan Road, Beijing 100049, People’s Republic of China; National Astronomical Observatories of China, Chinese Academy of Sciences , 20A Datun Road, Beijing 100020, People’s Republic of ChinaHefei National Research Center for Physical Sciences at the Microscale and School of Physical Sciences, University of Science and Technology of China , Hefei 230026, People's Republic of China; Hefei National Laboratory, University of Science and Technology of China , Hefei 230088, People’s Republic of ChinaYunnan Observatory, Chinese Academy of Sciences , Kunming 650011, Yunan, People's Republic of ChinaYunnan Observatory, Chinese Academy of Sciences , Kunming 650011, Yunan, People's Republic of ChinaDepartment of Astronomy, Xiamen University , Xiamen, Fujian 361005, People's Republic of ChinaInstitute of Fundamental Physics and Quantum Technology, Ningbo University , Ningbo 315211, People’s Republic of China; CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics , Chinese Academy of Sciences (CAS), Beijing 100190, People’s Republic of China; School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study (HIAS), University of Chinese Academy of Sciences (UCAS) , Hangzhou 310024, People’s Republic of ChinaThe growing “Hubble tension” has prompted the need for precise measurements of cosmological distances. This paper demonstrates a purely geometric approach for determining the distances to extragalactic binaries through a joint analysis of spectroastrometry (SA), radial velocity (RV), and light-curve (LC) observations. A parameterized model for the binary system is outlined, and simulated SA, RV, and LC data are computed to infer the probability distribution of model parameters based on the mock data. The impacts of data quality and binary parameters on the distance uncertainties are comprehensively analyzed, showcasing the method’s potential for high-precision distance measurements. For a typical eclipsing binary in the Large Magellanic Cloud, the distance uncertainty is approximately 6% under reasonable observational conditions. Within a specific range of data quality and input parameters, the distance measurement precision of individual binary star systems is generally better than 10%. As a geometric method based on the simplest dynamics, it is independent of empirical calibration, and the systematics caused by model selections can be tested using nearby binaries with known distances. By measuring multiple binary star systems or monitoring one binary system repeatedly, geometric distance measurements of nearby galaxies can be achieved, providing valuable insights into the Hubble tension and advancing our understanding of the Universe’s structure and evolution.https://doi.org/10.3847/1538-4357/ad9d10Distance measureOptical interferometryBinary stars
spellingShingle Yu-Yang Songsheng
Jian-Min Wang
Yuan Cao
XueFei Chen
JianPing Xiong
Zhi-Xiang Zhang
Rong-Gen Cai
Geometrical Distances of Extragalactic Binaries through Spectroastrometry
The Astrophysical Journal
Distance measure
Optical interferometry
Binary stars
title Geometrical Distances of Extragalactic Binaries through Spectroastrometry
title_full Geometrical Distances of Extragalactic Binaries through Spectroastrometry
title_fullStr Geometrical Distances of Extragalactic Binaries through Spectroastrometry
title_full_unstemmed Geometrical Distances of Extragalactic Binaries through Spectroastrometry
title_short Geometrical Distances of Extragalactic Binaries through Spectroastrometry
title_sort geometrical distances of extragalactic binaries through spectroastrometry
topic Distance measure
Optical interferometry
Binary stars
url https://doi.org/10.3847/1538-4357/ad9d10
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