{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/updated-mutual-inclination-measurement-for-14","title":"Updated Mutual Inclination Measurement for 14 Her b and c","arxiv_id":"2506.13580","date":"2025-06-16","proceeding":null,"authors":["Guang-Yao Xiao","Fabo Feng"],"abstract":"The mutual inclination $\\psi$ between orbits within multi-planetary systems is difficult to measure directly. Through a joint analysis of RVs, Hipparcos-Gaia absolute astrometry and relative astrometry of JWST, \\citet{Bardalez2025} recently found two possible values of $\\psi_{bc}={32_{-15.1}^{+13.6}}^{\\circ}$ and $\\psi_{bc}={145.0_{-11.1}^{+15.8}}^{\\circ}$ for the nearby, non-transit planet system, 14\\,Her. By incorporating additional astrometry from Gaia second data release (DR2), we have further constrained the orbital orientation of 14\\,Her\\,b, resulting in a definitive and unambiguous mutual inclination of $\\psi_{bc}={35.3_{-7.3}^{+6.8}}^{\\circ}$. The unusual misaligned orbital architecture of 14\\,Her system may serve as a benchmark for dynamical studies.","url_abs":"https://arxiv.org/abs/2506.13580v1","url_pdf":"https://arxiv.org/pdf/2506.13580v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"updated-mutual-inclination-measurement-for-14","repo_url":"https://github.com/gyxiaotdli/mini_Agatha","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}