{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T10:19:18Z","timestamp":1778581158148,"version":"3.51.4"},"reference-count":32,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T00:00:00Z","timestamp":1777593600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T00:00:00Z","timestamp":1777593600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,1,7]],"date-time":"2026-01-07T00:00:00Z","timestamp":1767744000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100002322","name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","doi-asserted-by":"publisher","award":["8887.829258\/2023-00"],"award-info":[{"award-number":["8887.829258\/2023-00"]}],"id":[{"id":"10.13039\/501100002322","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001807","name":"State of Sao Paulo Research Foundation","doi-asserted-by":"publisher","award":["2022\/12785-1"],"award-info":[{"award-number":["2022\/12785-1"]}],"id":[{"id":"10.13039\/501100001807","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001807","name":"State of Sao Paulo Research Foundation","doi-asserted-by":"publisher","award":["2021\/11306-0"],"award-info":[{"award-number":["2021\/11306-0"]}],"id":[{"id":"10.13039\/501100001807","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001807","name":"State of Sao Paulo Research Foundation","doi-asserted-by":"publisher","award":["2021\/08274-9"],"award-info":[{"award-number":["2021\/08274-9"]}],"id":[{"id":"10.13039\/501100001807","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["403420\/2024-5"],"award-info":[{"award-number":["403420\/2024-5"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["443116\/2023-7"],"award-info":[{"award-number":["443116\/2023-7"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["309089\/2021-2"],"award-info":[{"award-number":["309089\/2021-2"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["UIDB\/04564\/2020"],"award-info":[{"award-number":["UIDB\/04564\/2020"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["UIDP\/04564\/2020"],"award-info":[{"award-number":["UIDP\/04564\/2020"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100009568","name":"Universidade Estadual Paulista","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100009568","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Communications in Nonlinear Science and Numerical Simulation"],"published-print":{"date-parts":[[2026,5]]},"DOI":"10.1016\/j.cnsns.2026.109646","type":"journal-article","created":{"date-parts":[[2026,1,8]],"date-time":"2026-01-08T16:19:31Z","timestamp":1767889171000},"page":"109646","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["A numerical analysis of planar colliding binary companions"],"prefix":"10.1016","volume":"156","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4174-8168","authenticated-orcid":false,"given":"G.A.","family":"Carit\u00e1","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5274-849X","authenticated-orcid":false,"given":"V.M.","family":"de Oliveira","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0457-3872","authenticated-orcid":false,"given":"S.","family":"Mottola","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1287-4210","authenticated-orcid":false,"given":"D.L.","family":"Silva","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2139-9850","authenticated-orcid":false,"given":"S.","family":"Aljbaae","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3816-0232","authenticated-orcid":false,"given":"H.","family":"Hussmann","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5437-8477","authenticated-orcid":false,"given":"K.","family":"Willner","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7966-3231","authenticated-orcid":false,"given":"A.F.B.A.","family":"Prado","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"issue":"1","key":"10.1016\/j.cnsns.2026.109646_bib0001","doi-asserted-by":"crossref","DOI":"10.1086\/516572","article-title":"Formation and destruction of small binary asteroids","volume":"659","author":"\u0106uk","year":"2007","journal-title":"Astrophys J"},{"key":"10.1016\/j.cnsns.2026.109646_bib0002","doi-asserted-by":"crossref","first-page":"418","DOI":"10.1016\/j.icarus.2013.11.008","article-title":"Tidal end states of binary asteroid systems with a nonspherical component","volume":"229","author":"Taylor","year":"2014","journal-title":"Icarus"},{"issue":"2","key":"10.1016\/j.cnsns.2026.109646_bib0003","doi-asserted-by":"crossref","first-page":"372","DOI":"10.1006\/icar.1996.0215","article-title":"Binary asteroids and the formation of doublet craters","volume":"124","author":"Bottke","year":"1996","journal-title":"Icarus"},{"issue":"7310","key":"10.1016\/j.cnsns.2026.109646_bib0004","doi-asserted-by":"crossref","first-page":"1085","DOI":"10.1038\/nature09315","article-title":"Formation of asteroid pairs by rotational fission","volume":"466","author":"Pravec","year":"2010","journal-title":"Nature"},{"issue":"2","key":"10.1016\/j.cnsns.2026.109646_bib0005","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1006\/icar.2002.6908","article-title":"Stability of binary asteroids","volume":"159","author":"Scheeres","year":"2002","journal-title":"Icarus"},{"issue":"2","key":"10.1016\/j.cnsns.2026.109646_bib0006","doi-asserted-by":"crossref","first-page":"370","DOI":"10.1016\/j.icarus.2007.02.015","article-title":"Rotational fission of contact binary asteroids","volume":"189","author":"Scheeres","year":"2007","journal-title":"Icarus"},{"key":"10.1016\/j.cnsns.2026.109646_bib0007","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1007\/s10569-006-9045-6","article-title":"Simulation of the full two rigid body problem using polyhedral mutual potential and potential derivatives approach","volume":"96","author":"Fahnestock","year":"2006","journal-title":"Celestial Mech Dyn Astron"},{"key":"10.1016\/j.cnsns.2026.109646_bib0008","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1007\/s10569-016-9731-y","article-title":"Mutual potential between two rigid bodies with arbitrary shapes and mass distributions","volume":"127","author":"Hou","year":"2017","journal-title":"Celestial Mech Dyn Astron"},{"key":"10.1016\/j.cnsns.2026.109646_bib0009","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1007\/s10569-008-9128-7","article-title":"Figure\u2013figure interaction between bodies having arbitrary shapes and mass distributions: a power series expansion approach","volume":"100","author":"Tricarico","year":"2008","journal-title":"Celestial Mech Dyn Astron"},{"issue":"2","key":"10.1016\/j.cnsns.2026.109646_bib0010","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1007\/s10569-016-9679-y","article-title":"Vector potentials for the gravitational interaction of extended bodies and laminas with analytical solutions for two disks","volume":"125","author":"Conway","year":"2016","journal-title":"Celestial Mech Dyn Astron"},{"issue":"1","key":"10.1016\/j.cnsns.2026.109646_bib0011","doi-asserted-by":"crossref","first-page":"592","DOI":"10.1093\/mnras\/stae2630","article-title":"A global binary asteroid system model with irregularly shaped components via iterated surface integral","volume":"536","author":"Lu","year":"2025","journal-title":"Mon Not R Astron Soc"},{"key":"10.1016\/j.cnsns.2026.109646_bib0012","series-title":"Doctoral Dissertations at University of Agder","article-title":"Modeling asteroid binary systems with the full two-body problem using surface integrals","author":"Ho","year":"2023"},{"key":"10.1016\/j.cnsns.2026.109646_bib0013","doi-asserted-by":"crossref","first-page":"330","DOI":"10.1007\/BF00642904","article-title":"On the rings of saturn","volume":"17","author":"Trulsen","year":"1972","journal-title":"Astrophys Space Sci"},{"issue":"5966","key":"10.1016\/j.cnsns.2026.109646_bib0014","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1038\/309333a0","article-title":"Structure, stability and evolution of saturn\u2019s rings","volume":"309","author":"Bridges","year":"1984","journal-title":"Nature"},{"issue":"1","key":"10.1016\/j.cnsns.2026.109646_bib0015","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1006\/icar.1993.1120","article-title":"Energy loss in collisions of icy spheres: loss mechanism and size-mass dependence","volume":"105","author":"Dilley","year":"1993","journal-title":"Icarus"},{"issue":"E4","key":"10.1016\/j.cnsns.2026.109646_bib0016","doi-asserted-by":"crossref","first-page":"9267","DOI":"10.1029\/96JE00116","article-title":"Mass dependence of energy loss in collisions of icy spheres: an experimental study","volume":"101","author":"Dilley","year":"1996","journal-title":"J Geophys Res Planets"},{"issue":"1","key":"10.1016\/j.cnsns.2026.109646_bib0017","doi-asserted-by":"crossref","first-page":"292","DOI":"10.1016\/j.icarus.2005.10.011","article-title":"The influence of particle adhesion on the stability of agglomerates in Saturn\u2019s rings","volume":"181","author":"Albers","year":"2006","journal-title":"Icarus"},{"issue":"6","key":"10.1016\/j.cnsns.2026.109646_bib0018","doi-asserted-by":"crossref","first-page":"442","DOI":"10.1103\/PhysRev.12.442","article-title":"The photographic study of impact at minimal velocities","volume":"12","author":"Raman","year":"1918","journal-title":"Phys Rev"},{"issue":"1","key":"10.1016\/j.cnsns.2026.109646_bib0019","doi-asserted-by":"crossref","first-page":"8","DOI":"10.1088\/0959-5309\/43\/1\/303","article-title":"Experiments on impact","volume":"43","author":"Andrews","year":"1931","journal-title":"Proc Phys Soc"},{"issue":"1","key":"10.1016\/j.cnsns.2026.109646_bib0020","doi-asserted-by":"crossref","first-page":"849","DOI":"10.1016\/j.icarus.2010.09.003","article-title":"Experimental determination of the coefficient of restitution for meter-scale granite spheres","volume":"211","author":"Durda","year":"2011","journal-title":"Icarus"},{"issue":"2","key":"10.1016\/j.cnsns.2026.109646_bib0021","doi-asserted-by":"crossref","first-page":"482","DOI":"10.1016\/j.icarus.2006.10.030","article-title":"Figure of the double asteroid 90 antiope from adaptive optics and lightcurve observations","volume":"187","author":"Descamps","year":"2007","journal-title":"Icarus"},{"issue":"6481","key":"10.1016\/j.cnsns.2026.109646_bib0022","doi-asserted-by":"crossref","DOI":"10.1126\/science.aay6620","article-title":"The solar nebula origin of (486958) arrokoth, a primordial contact binary in the kuiper belt","volume":"367","author":"McKinnon","year":"2020","journal-title":"Science"},{"key":"10.1016\/j.cnsns.2026.109646_bib0023","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1007\/s10569-009-9184-7","article-title":"Stability of the planar full 2-body problem","volume":"104","author":"Scheeres","year":"2009","journal-title":"Celestial Mech Dyn Astron"},{"issue":"1","key":"10.1016\/j.cnsns.2026.109646_bib0024","doi-asserted-by":"crossref","first-page":"15","DOI":"10.5334\/jors.151","article-title":"DifferentialEquations.jl\u2013a performant and feature-rich ecosystem for solving differential equations in Julia","volume":"5","author":"Rackauckas","year":"2017","journal-title":"J Open Res Software"},{"key":"10.1016\/j.cnsns.2026.109646_bib0025","series-title":"2012 15th international conference on information fusion","first-page":"396","article-title":"A robust computational test for overlap of two arbitrary-dimensional ellipsoids in fault-detection of kalman filters","author":"Gilitschenski","year":"2012"},{"issue":"4","key":"10.1016\/j.cnsns.2026.109646_bib0026","doi-asserted-by":"crossref","first-page":"308","DOI":"10.1093\/comjnl\/7.4.308","article-title":"A simplex method for function minimization","volume":"7","author":"Nelder","year":"1965","journal-title":"Comput J"},{"key":"10.1016\/j.cnsns.2026.109646_bib0027","series-title":"Siggraph Course Notes","article-title":"An introduction to physically based modeling: rigid body simulation","volume":"1025","author":"Barraff","year":"1997"},{"issue":"2","key":"10.1016\/j.cnsns.2026.109646_bib0028","doi-asserted-by":"crossref","first-page":"24","DOI":"10.21105\/joss.00024","article-title":"corner.py: scatterplot matrices in python","volume":"1","author":"Foreman-Mackey","year":"2016","journal-title":"J Open Source Software"},{"issue":"13","key":"10.1016\/j.cnsns.2026.109646_bib0029","doi-asserted-by":"crossref","first-page":"16343","DOI":"10.1007\/s11071-025-11014-5","article-title":"Planar dynamics of non-spherical close tidally locked binaries and the restricted three body problem","volume":"113","author":"Carit\u00e1","year":"2025","journal-title":"Nonlinear Dyn"},{"issue":"6441","key":"10.1016\/j.cnsns.2026.109646_bib0030","doi-asserted-by":"crossref","DOI":"10.1126\/science.aaw9771","article-title":"Initial results from the new horizons exploration of 2014\u202fMU69, a small kuiper belt object","volume":"364","author":"Stern","year":"2019","journal-title":"Science"},{"issue":"4","key":"10.1016\/j.cnsns.2026.109646_bib0031","doi-asserted-by":"crossref","first-page":"4154","DOI":"10.1093\/mnras\/staa1732","article-title":"Surface dynamics, equilibrium points and individual lobes of the kuiper belt object (486958) arrokoth","volume":"496","author":"Amarante","year":"2020","journal-title":"Mon Not R Astron Soc"},{"key":"10.1016\/j.cnsns.2026.109646_bib0032","doi-asserted-by":"crossref","DOI":"10.1051\/0004-6361\/202245552","article-title":"The accuracy of mutual potential approximations in simulations of binary asteroids","volume":"671","author":"Ho","year":"2023","journal-title":"Astron Astrophys"}],"container-title":["Communications in Nonlinear Science and Numerical Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570426000092?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570426000092?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T10:05:41Z","timestamp":1778580341000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1007570426000092"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,5]]},"references-count":32,"alternative-id":["S1007570426000092"],"URL":"https:\/\/doi.org\/10.1016\/j.cnsns.2026.109646","relation":{},"ISSN":["1007-5704"],"issn-type":[{"value":"1007-5704","type":"print"}],"subject":[],"published":{"date-parts":[[2026,5]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"A numerical analysis of planar colliding binary companions","name":"articletitle","label":"Article Title"},{"value":"Communications in Nonlinear Science and Numerical Simulation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cnsns.2026.109646","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 The Author(s). Published by Elsevier B.V.","name":"copyright","label":"Copyright"}],"article-number":"109646"}}