Open cluster dynamics

This doctoral thesis document is based on the results obtained in four scientific articles.

Autores:
Alfonso, Jeison Estivens
Tipo de recurso:
Doctoral thesis
Fecha de publicación:
2024
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
eng
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/75274
Acceso en línea:
https://hdl.handle.net/1992/75274
Palabra clave:
Open clusters
Astrometry
N-body simulations
Initial mass function
Mass segregation
Machine learning
Statistics
Física
Rights
embargoedAccess
License
Attribution 4.0 International
id UNIANDES2_ceb14e8a747b524c05a58ca5b2bfb688
oai_identifier_str oai:repositorio.uniandes.edu.co:1992/75274
network_acronym_str UNIANDES2
network_name_str Séneca: repositorio Uniandes
repository_id_str
dc.title.eng.fl_str_mv Open cluster dynamics
title Open cluster dynamics
spellingShingle Open cluster dynamics
Open clusters
Astrometry
N-body simulations
Initial mass function
Mass segregation
Machine learning
Statistics
Física
title_short Open cluster dynamics
title_full Open cluster dynamics
title_fullStr Open cluster dynamics
title_full_unstemmed Open cluster dynamics
title_sort Open cluster dynamics
dc.creator.fl_str_mv Alfonso, Jeison Estivens
dc.contributor.advisor.none.fl_str_mv García Varela, José Alejandro
dc.contributor.author.none.fl_str_mv Alfonso, Jeison Estivens
dc.contributor.jury.none.fl_str_mv Kelkar, Neelima Govind
Ferreira, Carlos
dc.subject.keyword.eng.fl_str_mv Open clusters
Astrometry
N-body simulations
Initial mass function
Mass segregation
Machine learning
Statistics
topic Open clusters
Astrometry
N-body simulations
Initial mass function
Mass segregation
Machine learning
Statistics
Física
dc.subject.themes.none.fl_str_mv Física
description This doctoral thesis document is based on the results obtained in four scientific articles.
publishDate 2024
dc.date.accessioned.none.fl_str_mv 2024-12-12T19:54:54Z
dc.date.issued.none.fl_str_mv 2024-12-10
dc.date.accepted.none.fl_str_mv 2024-12-12
dc.date.available.none.fl_str_mv 2025-12-31
dc.type.none.fl_str_mv Trabajo de grado - Doctorado
dc.type.driver.none.fl_str_mv info:eu-repo/semantics/doctoralThesis
dc.type.version.none.fl_str_mv info:eu-repo/semantics/acceptedVersion
dc.type.coar.none.fl_str_mv http://purl.org/coar/resource_type/c_db06
dc.type.content.none.fl_str_mv Text
dc.type.redcol.none.fl_str_mv https://purl.org/redcol/resource_type/TD
format http://purl.org/coar/resource_type/c_db06
status_str acceptedVersion
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/1992/75274
dc.identifier.instname.none.fl_str_mv instname:Universidad de los Andes
dc.identifier.reponame.none.fl_str_mv reponame:Repositorio Institucional Séneca
dc.identifier.repourl.none.fl_str_mv repourl:https://repositorio.uniandes.edu.co/
url https://hdl.handle.net/1992/75274
identifier_str_mv instname:Universidad de los Andes
reponame:Repositorio Institucional Séneca
repourl:https://repositorio.uniandes.edu.co/
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.references.none.fl_str_mv Alfonso, J. & García-Varela, A. 2023, A&A, 677, A163
Alfonso, J., García-Varela, A., & Vieira, K. 2024, A&A, 689, A18
Allen, C. & Santillan, A. 1991, RMxAA, 22, 255
Allison, R. J., Goodwin, S. P., Parker, R. J., et al. 2009, MNRAS, 395, 1449
Anders, F., Chiappini, C., Minchev, I., et al. 2017, A&A, 600, A70
Astropy Collaboration, Price-Whelan, A. M., Lim, P. L., et al. 2022, AJ, 935, 167
Babusiaux, C., Fabricius, C., Khanna, S., et al. 2023, A&A, 674, A32
Bailer-Jones, C. A. 2017, Practical Bayesian Inference (Cambridge University Press)
Bailer-Jones, C. A. L. 2015, PASP, 127, 994
Binney, J. & Tremaine, S. 2008, Galactic Dynamics: Second Edition
Boffin, H. M. J., Jerabkova, T., Beccari, G., & Wang, L. 2022, MNRAS, 514, 3579
Bonaca, A., Hogg, D. W., Price-Whelan, A. M., & Conroy, C. 2019, ApJ, 880, 38
Bossini, D., Vallenari, A., Bragaglia, A., et al. 2019, A&A, 623, A108
Bressan, A., Marigo, P., Girardi, L., et al. 2012, MNRAS, 427, 127
Bromley, B. C., Kenyon, S. J., Geller, M. J., & Brown, W. R. 2012, ApJL, 749, L42
Campello, R. J. G. B., Moulavi, D., & Sander, J. 2013, in Advances in Knowledge
Discovery and Data Mining, ed. J. Pei, V. S. Tseng, L. Cao, H. Motoda, & G. Xu (Berlin, Heidelberg: Springer Berlin Heidelberg), 160–172
Cantat-Gaudin, T., Anders, F., Castro-Ginard, A., et al. 2020, A&A, 640, A1
Carrera, R., Pasquato, M., Vallenari, A., et al. 2019, A&A, 627, A119
Castro-Ginard, A., Jordi, C., Luri, X., et al. 2022, A&A, 661, A118
Castro-Ginard, A., Jordi, C., Luri, X., et al. 2018, A&A, 618, A59
Chabrier, G. 2003, PASP, 115, 763
Chernoff, D. F., Kochanek, C. S., & Shapiro, S. L. 1986, ApJ, 309, 183
Ciotti, L. 2021, Introduction to Stellar Dynamics
Converse, J. M. & Stahler, S. W. 2008, ApJ, 678, 431
Converse, J. M. & Stahler, S. W. 2010, MNRAS, 405, 666
Cordoni, G., Milone, A. P., Marino, A. F., et al. 2023, A&A, 672, A29
Cranmer, K., Brehmer, J., & Louppe, G. 2020, Proceedings of the National Academy of Science, 117, 30055
Cui, X.-Q., Zhao, Y.-H., Chu, Y.-Q., et al. 2012, Research in Astronomy and Astrophysics, 12, 1197
Dalton, G., Trager, S. C., Abrams, D. C., et al. 2012, in Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Series, Vol. 8446, Ground-based and Airborne Instrumentation for Astronomy IV, ed. I. S. McLean, S. K. Ramsay, & H. Takami, 84460P
Danilov, V. M. & Seleznev, A. F. 2020, Astrophysical Bulletin, 75, 407
De Boor, C. 1978, Springer-Verlag google scholar, 2, 4135
de Bruijne, J. H. J. 1999, MNRAS, 306, 381
de La Fuente Marcos, R. & de La Fuente Marcos, C. 2009, A&A, 500, L13
Deacon, N. R. & Kraus, A. L. 2020, MNRAS, 496, 5176
Dehnen, W. 2000, AJ, 119, 800
Della Croce, A., Dalessandro, E., Livernois, A., & Vesperini, E. 2024, A&A, 683, A10
Dias, W. S., Monteiro, H., Moitinho, A., et al. 2021, MNRAS, 504, 356
Dib, S., Schmeja, S., & Parker, R. J. 2018, MNRAS, 473, 849
Dinnbier, F. & Kroupa, P. 2020a, A&A, 640, A84
Dinnbier, F. & Kroupa, P. 2020b, A&A, 640, A85
Dinnbier, F., Kroupa, P., Subr, L., & Jerabkov´a, T. 2022, ApJ, 925, 214
Eggen, O. J. & Greenstein, J. L. 1965, ApJ, 141, 83
Ester, M., Kriegel, H.-P., Sander, J., Xu, X., et al. 1996, KDD-96 Proceedings, 96, 226
Feigelson, E. D. & Babu, G. J. 2012, Modern Statistical Methods for Astronomy
Foreman-Mackey, D., Hogg, D. W., Lang, D., & Goodman, J. 2013, PASP, 125, 306
Fu, X., Bragaglia, A., Liu, C., et al. 2022, A&A, 668, A4
Gaia Collaboration, Babusiaux, C., van Leeuwen, F., et al. 2018a, A&A, 616, A10
Gaia Collaboration, Helmi, A., van Leeuwen, F., et al. 2018b, A&A, 616, A12
Gaia Collaboration, Prusti, T., de Bruijne, J. H. J., et al. 2016, A&A, 595, A1
Gaia Collaboration, Vallenari, A., Brown, A. G. A., et al. 2023, A&A, 674, A1
Gao, X.-h. 2019a, PASP, 131, 044101
Gao, X.-h. 2019b, MNRAS, 486, 5405
Gelman, A. & Rubin, D. B. 1992, Statistical Science, 7, 457
Geron, A. 2022, Hands-on machine learning with Scikit-Learn, Keras, and TensorFlow (” O’Reilly Media, Inc.”)
Godoy-Rivera, D., Pinsonneault, M. H., & Rebull, L. M. 2021, ApJS, 257, 46
Gossage, S., Conroy, C., Dotter, A., et al. 2018, ApJ, 863, 67
Grondin, S. M., Webb, J. J., Lane, J. M. M., Speagle, J. S., & Leigh, N. W. C. 2024, MNRAS, 528, 5189
Hao, C. J., Xu, Y., Hou, L. G., et al. 2024, ApJ, 963, 153
Harris, W. E. 2010, arXiv e-prints, arXiv:1012.3224
Hennebelle, P. & Grudi´c, M. Y. 2024, ARA&A, 62, 63
Heyl, J., Caiazzo, I., & Richer, H. B. 2022, ApJ, 926, 132
Hidalgo, S. L., Pietrinferni, A., Cassisi, S., et al. 2018, ApJ, 856, 125
Holland, K., Jameson, R. F., Hodgkin, S., Davies, M. B., & Pinfield, D. 2000, MNRAS, 319, 956
Hunt, E. L. & Reffert, S. 2021, A&A, 646, A104
Hunt, E. L. & Reffert, S. 2023, A&A, 673, A114
Jerabkova, T., Beccari, G., Boffin, H. M. J., et al. 2019, AAP, 627, A57
Jerabkova, T., Boffin, H. M. J., Beccari, G., et al. 2021, A&A, 647, A137
Kamdar, H., Conroy, C., & Ting, Y.-S. 2021, arXiv e-prints, arXiv:2106.02050
Kharchenko, N. V., Berczik, P., Petrov, M. I., et al. 2009, A&A, 495, 807
Kharchenko, N. V., Piskunov, A. E., Schilbach, E., R¨oser, S., & Scholz, R. D. 2013, A&A, 558, A53
King, I. 1962, AJ, 67, 471
Kounkel, M. & Covey, K. 2019, AJ, 158, 122
Kraus, A. L. & Hillenbrand, L. A. 2007, AJ, 134, 2340
Kroupa, P. 2002, Science, 295, 82
Kroupa, P., Aarseth, S., & Hurley, J. 2001, MNRAS, 321, 699
Kroupa, P., Pflamm-Altenburg, J., Mazurenko, S., et al. 2024, ApJ, 970, 94
Krumholz, M. R., McKee, C. F., & Bland-Hawthorn, J. 2019, ARA&A, 57, 227
Kruskal, J. B. 1956, Proceedings of the American Mathematical Society, 7, 48
K¨upper, A. H. W., Balbinot, E., Bonaca, A., et al. 2015, AJ, 803, 80
K¨upper, A. H. W., MacLeod, A., & Heggie, D. C. 2008, MNRAS, 387, 1248
Lada, C. J. & Lada, E. A. 2003, Annual Review of A&A, 41, 57
Lindegren, L., Klioner, S. A., Hernandez, J., et al. 2021, A&A, 649, A2
Lodieu, N., P´erez-Garrido, A., Smart, R. L., & Silvotti, R. 2019, A&A, 628, A66
Luri, X., Brown, A. G. A., Sarro, L. M., et al. 2018, A&A, 616, A9
Mackereth, J. T., Bovy, J., Leung, H. W., et al. 2019, MNRAS, 489, 176
Mahalanobis, P. C. 2018, Sankhy¯a: The Indian Journal of Statistics, Series A (2008-), 80, pp. S1
Marigo, P., Bressan, A., Nanni, A., Girardi, L., & Pumo, M. L. 2013, MNRAS, 434, 488
McInnes, L., Healy, J., & Astels, S. 2017, The Journal of Open Source Software, 2
McKee, C. F. & Ostriker, E. C. 2007, ARA&A, 45, 565
McMillan, S. L. W., Vesperini, E., & Portegies Zwart, S. F. 2007, ApJL, 655, L45
Meingast, S., Alves, J., & Rottensteiner, A. 2021, A&A, 645, A84
Mermilliod, J. C. 1981, A&A, 97, 235
Miller, G. E. & Scalo, J. M. 1979, ApJS, 41, 513
Moraux, E., Kroupa, P., & Bouvier, J. 2004, A&A, 426, 75
Morton, T. D. 2015, isochrones: Stellar model grid package, Astrophysics Source Code Library, record ascl:1503.010
Naidoo, K. 2019, The Journal of Open Source Software, 4, 1721
Netopil, M., Paunzen, E., Heiter, U., & Soubiran, C. 2016, A&A, 585, A150
Odenkirchen, M., Grebel, E. K., Rockosi, C. M., et al. 2001, ApJL, 548, L165
Pang, X., Li, Y., Yu, Z., et al. 2021, ApJ, 912, 162
Pang, X., Liao, S., Li, J., et al. 2024, ApJ, 966, 169
Pedregosa, F., Varoquaux, G., Gramfort, A., et al. 2011, Journal of Machine Learning Research, 12, 2825
Pelupessy, F. I., J¨anes, J., & Portegies Zwart, S. 2012, NA, 17, 711
Pera, M. S., Perren, G. I., V´azquez, R. A., & Navone, H. D. 2022, Boletin de la Asociacion Argentina de Astronomia La Plata Argentina, 63, 121
Pinfield, D. J., Jameson, R. F., & Hodgkin, S. T. 1998, MNRAS, 299, 955
Piskunov, A. E., Schilbach, E., Kharchenko, N. V., R¨oser, S., & Scholz, R. D. 2007, A&A, 468, 151
Plummer, H. C. 1911, MNRAS, 71, 460
Portegies Zwart, S. & McMillan, S. 2018, Astrophysical Recipes; The art of AMUSE
Portegies Zwart, S. F., McMillan, S. L. W., & Gieles, M. 2010, ARA&A, 48, 431
Raboud, D. & Mermilliod, J. C. 1998, AAP, 333, 897
Rebassa-Mansergas, A., Solano, E., Jim´enez-Esteban, F. M., et al. 2021, MNRAS, 506, 5201
Reino, S., de Bruijne, J., Zari, E., d’Antona, F., & Ventura, P. 2018, MNRAS, 477, 3197
Renaud, F., Gieles, M., & Boily, C. M. 2011, MNRAS, 418, 759
Robin, A. C., Marshall, D. J., Schultheis, M., & Reyl´e, C. 2012, A&A, 538, A106
Robinson, E., von Hippel, T., Stein, N., et al. 2016, BASE-9: Bayesian Analysis for Stellar Evolution with nine variables, Astrophysics Source Code Library, record ascl:1608.007
R¨oser, S. & Schilbach, E. 2019, A&A, 627, A4
R¨oser, S., Schilbach, E., & Goldman, B. 2019, A&A, 621, L2
Rousseeuw, P. J. & van Driessen, K. 1999, Technometrics, 41, 212
Rybizki, J., Green, G. M., Rix, H.-W., et al. 2022, MNRAS, 510, 2597
Sabogal-Martiınez, B. E., Garcıa-Varela, J. A., Higuera G., M. A., Uribe, A., &
Brieva, E. 2001, RMxAA, 37, 105
Salaris, M. & Bedin, L. R. 2019, MNRAS, 483, 3098
Salpeter, E. E. 1955, ApJ, 121, 161
Sanders, W. L. 1971, A&A, 14, 226
Slovak, M. H. 1977, AJ, 82, 818
Smith, Haywood, J. & Eichhorn, H. 1996, MNRAS, 281, 211
Song, F., Esamdin, A., Hu, Q., & Zhang, M. 2022, A&A, 666, A75
Spina, L., Randich, S., Magrini, L., et al. 2017, A&A, 601, A70
Spitzer, L., J. 1975, in Dynamics of the Solar Systems, ed. A. Hayli, Vol. 69, 3
Spitzer, Lyman, J. 1958, ApJ, 127, 17
Stock, J. & Abad, C. 1988, RMxAA, 16, 63
Stolte, A., Brandner, W., Brandl, B., & Zinnecker, H. 2006, AJ, 132, 253
Sun, W., de Grijs, R., Deng, L., & Albrow, M. D. 2019, ApJ, 876, 113
Tang, S.-Y., Pang, X., Yuan, Z., et al. 2019, ApJ, 877, 12
Tarricq, Y., Soubiran, C., Casamiquela, L., et al. 2022, A&A, 659, A59
Tauris, T. M. & van den Heuvel, E. P. J. 2023, Physics of Binary Star Evolution. From Stars to X-ray Binaries and Gravitational Wave Sources
Tremblay, P.-E., B´edard, A., O’Brien, M. W., et al. 2024, NAR, 99, 101705
Uribe, A. & Brieva, E. 1994, APSS, 214, 171
van Groeningen, M. G. J., Castro-Ginard, A., Brown, A. G. A., Casamiquela, L., &
Jordi, C. 2023, A&A, 675, A68
van Leeuwen, F. 1980, in Star Clusters, ed. J. E. Hesser, Vol. 85, 157–163
van Leeuwen, F. 2009, A&A, 497, 209
Van Ravenzwaaij, D., Cassey, P., & Brown, S. D. 2018, Psychonomic bulletin & review, 25, 143
Vasilevskis, S., Klemola, A., & Preston, G. 1958, AJ, 63, 387
Vasiliev, E. 2019, MNRAS, 484, 2832
Vesperini, E. 2010, Philosophical Transactions of the Royal Society of London Series A, 368, 829
Vesperini, E., McMillan, S. L. W., D’Antona, F., & D’Ercole, A. 2011, MNRAS, 416, 355
Virtanen, P., Gommers, R., Oliphant, T. E., et al. 2020, Nature Methods, 17, 261
von Hippel, T., Jefferys, W. H., Scott, J., et al. 2006, ApJ, 645, 1436
Wallace, A. L. 2024, MNRAS, 527, 8718
Wu, B. Y. & Chao, K.-M. 2004, Spanning trees and optimization problems (Chapman and Hall/CRC)
Yong, D., Carney, B. W., & Friel, E. D. 2012, AJ, 144, 95
Zapatero Osorio, M. R., G´alvez Ortiz, M. C., Bihain, G., et al. 2014, A&A, 568, A77
Zhang, Y., Tang, S.-Y., Chen, W. P., Pang, X., & Liu, J. Z. 2020, ApJ, 889, 99
Zhong, J., Chen, L., Kouwenhoven, M. B. N., et al. 2019, A&A, 624, A34
Zucker, C., Peek, J. E. G., & Loebman, S. 2022, ApJ, 936, 160
dc.rights.en.fl_str_mv Attribution 4.0 International
dc.rights.uri.none.fl_str_mv http://creativecommons.org/licenses/by/4.0/
dc.rights.accessrights.none.fl_str_mv info:eu-repo/semantics/embargoedAccess
dc.rights.coar.none.fl_str_mv http://purl.org/coar/access_right/c_f1cf
rights_invalid_str_mv Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
http://purl.org/coar/access_right/c_f1cf
eu_rights_str_mv embargoedAccess
dc.format.extent.none.fl_str_mv 100 páginas
dc.format.mimetype.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidad de los Andes
dc.publisher.program.none.fl_str_mv Doctorado en Ciencias - Física
dc.publisher.faculty.none.fl_str_mv Facultad de Ciencias
dc.publisher.department.none.fl_str_mv Departamento de Física
publisher.none.fl_str_mv Universidad de los Andes
institution Universidad de los Andes
bitstream.url.fl_str_mv https://repositorio.uniandes.edu.co/bitstreams/1530951c-0b04-4759-99d6-2199f2981f0b/download
https://repositorio.uniandes.edu.co/bitstreams/ff11f30d-8004-4979-b123-b8af232d42b9/download
https://repositorio.uniandes.edu.co/bitstreams/8a351ffc-3799-46f7-b850-22dbac96b49a/download
https://repositorio.uniandes.edu.co/bitstreams/7e0f063c-0c1f-4a3c-98a1-84d25456c59a/download
https://repositorio.uniandes.edu.co/bitstreams/7fd8bd3a-6f09-478b-82fe-8e35c2e82212/download
https://repositorio.uniandes.edu.co/bitstreams/c6084f5e-3e0c-4b30-8234-f6abeac43527/download
https://repositorio.uniandes.edu.co/bitstreams/bad2004b-5239-436c-8a3c-08996a5f899f/download
https://repositorio.uniandes.edu.co/bitstreams/3211334f-54a1-4b1e-848d-7111705f9dd5/download
bitstream.checksum.fl_str_mv 64bf58a9ddca4c8fc4769c75849c2b26
a16757eb49e7db0e34d37085c21efb2b
0175ea4a2d4caec4bbcc37e300941108
ae9e573a68e7f92501b6913cc846c39f
66ef401510e3ba45b25f61978ca23146
12d94b9c08f5ac35da86ffd46f8d81c2
a1bec502a9c684c66dba2f44e8f60df7
862b620ad48c0ba4666f59c66d3f3bb7
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
repository.name.fl_str_mv Repositorio institucional Séneca
repository.mail.fl_str_mv adminrepositorio@uniandes.edu.co
_version_ 1831927788861390848
spelling García Varela, José Alejandrovirtual::21835-1Alfonso, Jeison EstivensKelkar, Neelima GovindFerreira, Carlos2024-12-12T19:54:54Z2025-12-312024-12-102024-12-12https://hdl.handle.net/1992/75274instname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/This doctoral thesis document is based on the results obtained in four scientific articles.Open star clusters are one of the most studied stellar systems studied due to their significance importance in Galactic dynamics and structure, and stellar evolution. About seven thousand open clusters have been found in the Milky Way, but this number is expected to increase in a few years with the upcoming catalogs, such as Gaia DR4, LSST, and JWST, among others. Open clusters are groups of stars that are bounded by their intrinsic gravity and share similar properties, such as a homogeneous distribution of chemical abundances and ages, and also a mean kinematics consistent with their center of mass. Their number of stars does not exceed a few thousand and, due to their weak gravitational field, they exhibit asymmetric shapes, unlike their counterparts, globular clusters. Since the first release of the Gaia astrometric mission, the unveiling of many astrophysical phenomena has now been put in the context of stellar populations and Galactic dynamics. Its exquisite astrometric data for nearly 2 billion stars is unprecedented in the growing understanding of the properties and kinematics of our Galaxy. Particularly, in the context of open clusters using Gaia data, efforts are focused on star evaporation, cluster dissolution, tidal tails and binary stars, topics that are relevant to many astrophysical phenomena. This PhD thesis focuses on the following topics: star membership in nearby Galactic open clusters, Initial Mass Function, mass segregation, binary stars and tidal tails. To perform the star membership, clustering algorithms were implemented, and outliers were treated by a statistical approach using the Mahalanobis distance. Once the most probable members were obtained, the cluster parameters were characterized by implementing a Bayesian methodology using color-magnitude diagrams with a stellar isochrone model. Moreover, a study of the dissolution of one nearby open clusters is discussed by comparing N-body simulations with Gaia DR3 data, which also includes an application of the convergent-point method to recover stars that follow the cluster kinematics. In addition to this, a binary study was also performed on fifteen open cluster by applying binary corrections to the Initial Mass Function through simulated-based inference. This thesis document is structured on five chapters. Below there is a description of each of them. Chapter one contains an overall introduction to open clusters and how they evolve. Chapter two is based on the application of two methods to recover stars in three nearby open clusters, which include a classical approach using proper motions and the DBSCAN algorithm. Chapter three describes the methodology to perform the HDBSCAN algorithm to astrometry and photometry in order to obtain stellar members for 370 open clusters, and the treatment of outliers using a robust statistical method. Chapter four contains a description of the tidal tails in the Pleiades open cluster and includes an analysis of contaminants. Chapter five outlines the process for estimating masses for main sequence stars in fifteen open clusters, discussing the Initial Mass Function while considering binary stars and mass segregation.DoctoradoAstronomy and Astrophysics100 páginasapplication/pdfengUniversidad de los AndesDoctorado en Ciencias - FísicaFacultad de CienciasDepartamento de FísicaAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/embargoedAccesshttp://purl.org/coar/access_right/c_f1cfOpen cluster dynamicsTrabajo de grado - Doctoradoinfo:eu-repo/semantics/doctoralThesisinfo:eu-repo/semantics/acceptedVersionhttp://purl.org/coar/resource_type/c_db06Texthttps://purl.org/redcol/resource_type/TDOpen clustersAstrometryN-body simulationsInitial mass functionMass segregationMachine learningStatisticsFísicaAlfonso, J. & García-Varela, A. 2023, A&A, 677, A163Alfonso, J., García-Varela, A., & Vieira, K. 2024, A&A, 689, A18Allen, C. & Santillan, A. 1991, RMxAA, 22, 255Allison, R. J., Goodwin, S. P., Parker, R. J., et al. 2009, MNRAS, 395, 1449Anders, F., Chiappini, C., Minchev, I., et al. 2017, A&A, 600, A70Astropy Collaboration, Price-Whelan, A. M., Lim, P. L., et al. 2022, AJ, 935, 167Babusiaux, C., Fabricius, C., Khanna, S., et al. 2023, A&A, 674, A32Bailer-Jones, C. A. 2017, Practical Bayesian Inference (Cambridge University Press)Bailer-Jones, C. A. L. 2015, PASP, 127, 994Binney, J. & Tremaine, S. 2008, Galactic Dynamics: Second EditionBoffin, H. M. J., Jerabkova, T., Beccari, G., & Wang, L. 2022, MNRAS, 514, 3579Bonaca, A., Hogg, D. W., Price-Whelan, A. M., & Conroy, C. 2019, ApJ, 880, 38Bossini, D., Vallenari, A., Bragaglia, A., et al. 2019, A&A, 623, A108Bressan, A., Marigo, P., Girardi, L., et al. 2012, MNRAS, 427, 127Bromley, B. C., Kenyon, S. J., Geller, M. J., & Brown, W. R. 2012, ApJL, 749, L42Campello, R. J. G. B., Moulavi, D., & Sander, J. 2013, in Advances in KnowledgeDiscovery and Data Mining, ed. J. Pei, V. S. Tseng, L. Cao, H. Motoda, & G. Xu (Berlin, Heidelberg: Springer Berlin Heidelberg), 160–172Cantat-Gaudin, T., Anders, F., Castro-Ginard, A., et al. 2020, A&A, 640, A1Carrera, R., Pasquato, M., Vallenari, A., et al. 2019, A&A, 627, A119Castro-Ginard, A., Jordi, C., Luri, X., et al. 2022, A&A, 661, A118Castro-Ginard, A., Jordi, C., Luri, X., et al. 2018, A&A, 618, A59Chabrier, G. 2003, PASP, 115, 763Chernoff, D. F., Kochanek, C. S., & Shapiro, S. L. 1986, ApJ, 309, 183Ciotti, L. 2021, Introduction to Stellar DynamicsConverse, J. M. & Stahler, S. W. 2008, ApJ, 678, 431Converse, J. M. & Stahler, S. W. 2010, MNRAS, 405, 666Cordoni, G., Milone, A. P., Marino, A. F., et al. 2023, A&A, 672, A29Cranmer, K., Brehmer, J., & Louppe, G. 2020, Proceedings of the National Academy of Science, 117, 30055Cui, X.-Q., Zhao, Y.-H., Chu, Y.-Q., et al. 2012, Research in Astronomy and Astrophysics, 12, 1197Dalton, G., Trager, S. C., Abrams, D. C., et al. 2012, in Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Series, Vol. 8446, Ground-based and Airborne Instrumentation for Astronomy IV, ed. I. S. McLean, S. K. Ramsay, & H. Takami, 84460PDanilov, V. M. & Seleznev, A. F. 2020, Astrophysical Bulletin, 75, 407De Boor, C. 1978, Springer-Verlag google scholar, 2, 4135de Bruijne, J. H. J. 1999, MNRAS, 306, 381de La Fuente Marcos, R. & de La Fuente Marcos, C. 2009, A&A, 500, L13Deacon, N. R. & Kraus, A. L. 2020, MNRAS, 496, 5176Dehnen, W. 2000, AJ, 119, 800Della Croce, A., Dalessandro, E., Livernois, A., & Vesperini, E. 2024, A&A, 683, A10Dias, W. S., Monteiro, H., Moitinho, A., et al. 2021, MNRAS, 504, 356Dib, S., Schmeja, S., & Parker, R. J. 2018, MNRAS, 473, 849Dinnbier, F. & Kroupa, P. 2020a, A&A, 640, A84Dinnbier, F. & Kroupa, P. 2020b, A&A, 640, A85Dinnbier, F., Kroupa, P., Subr, L., & Jerabkov´a, T. 2022, ApJ, 925, 214Eggen, O. J. & Greenstein, J. L. 1965, ApJ, 141, 83Ester, M., Kriegel, H.-P., Sander, J., Xu, X., et al. 1996, KDD-96 Proceedings, 96, 226Feigelson, E. D. & Babu, G. J. 2012, Modern Statistical Methods for AstronomyForeman-Mackey, D., Hogg, D. W., Lang, D., & Goodman, J. 2013, PASP, 125, 306Fu, X., Bragaglia, A., Liu, C., et al. 2022, A&A, 668, A4Gaia Collaboration, Babusiaux, C., van Leeuwen, F., et al. 2018a, A&A, 616, A10Gaia Collaboration, Helmi, A., van Leeuwen, F., et al. 2018b, A&A, 616, A12Gaia Collaboration, Prusti, T., de Bruijne, J. H. J., et al. 2016, A&A, 595, A1Gaia Collaboration, Vallenari, A., Brown, A. G. A., et al. 2023, A&A, 674, A1Gao, X.-h. 2019a, PASP, 131, 044101Gao, X.-h. 2019b, MNRAS, 486, 5405Gelman, A. & Rubin, D. B. 1992, Statistical Science, 7, 457Geron, A. 2022, Hands-on machine learning with Scikit-Learn, Keras, and TensorFlow (” O’Reilly Media, Inc.”)Godoy-Rivera, D., Pinsonneault, M. H., & Rebull, L. M. 2021, ApJS, 257, 46Gossage, S., Conroy, C., Dotter, A., et al. 2018, ApJ, 863, 67Grondin, S. M., Webb, J. J., Lane, J. M. M., Speagle, J. S., & Leigh, N. W. C. 2024, MNRAS, 528, 5189Hao, C. J., Xu, Y., Hou, L. G., et al. 2024, ApJ, 963, 153Harris, W. E. 2010, arXiv e-prints, arXiv:1012.3224Hennebelle, P. & Grudi´c, M. Y. 2024, ARA&A, 62, 63Heyl, J., Caiazzo, I., & Richer, H. B. 2022, ApJ, 926, 132Hidalgo, S. L., Pietrinferni, A., Cassisi, S., et al. 2018, ApJ, 856, 125Holland, K., Jameson, R. F., Hodgkin, S., Davies, M. B., & Pinfield, D. 2000, MNRAS, 319, 956Hunt, E. L. & Reffert, S. 2021, A&A, 646, A104Hunt, E. L. & Reffert, S. 2023, A&A, 673, A114Jerabkova, T., Beccari, G., Boffin, H. M. J., et al. 2019, AAP, 627, A57Jerabkova, T., Boffin, H. M. J., Beccari, G., et al. 2021, A&A, 647, A137Kamdar, H., Conroy, C., & Ting, Y.-S. 2021, arXiv e-prints, arXiv:2106.02050Kharchenko, N. V., Berczik, P., Petrov, M. I., et al. 2009, A&A, 495, 807Kharchenko, N. V., Piskunov, A. E., Schilbach, E., R¨oser, S., & Scholz, R. D. 2013, A&A, 558, A53King, I. 1962, AJ, 67, 471Kounkel, M. & Covey, K. 2019, AJ, 158, 122Kraus, A. L. & Hillenbrand, L. A. 2007, AJ, 134, 2340Kroupa, P. 2002, Science, 295, 82Kroupa, P., Aarseth, S., & Hurley, J. 2001, MNRAS, 321, 699Kroupa, P., Pflamm-Altenburg, J., Mazurenko, S., et al. 2024, ApJ, 970, 94Krumholz, M. R., McKee, C. F., & Bland-Hawthorn, J. 2019, ARA&A, 57, 227Kruskal, J. B. 1956, Proceedings of the American Mathematical Society, 7, 48K¨upper, A. H. W., Balbinot, E., Bonaca, A., et al. 2015, AJ, 803, 80K¨upper, A. H. W., MacLeod, A., & Heggie, D. C. 2008, MNRAS, 387, 1248Lada, C. J. & Lada, E. A. 2003, Annual Review of A&A, 41, 57Lindegren, L., Klioner, S. A., Hernandez, J., et al. 2021, A&A, 649, A2Lodieu, N., P´erez-Garrido, A., Smart, R. L., & Silvotti, R. 2019, A&A, 628, A66Luri, X., Brown, A. G. A., Sarro, L. M., et al. 2018, A&A, 616, A9Mackereth, J. T., Bovy, J., Leung, H. W., et al. 2019, MNRAS, 489, 176Mahalanobis, P. C. 2018, Sankhy¯a: The Indian Journal of Statistics, Series A (2008-), 80, pp. S1Marigo, P., Bressan, A., Nanni, A., Girardi, L., & Pumo, M. L. 2013, MNRAS, 434, 488McInnes, L., Healy, J., & Astels, S. 2017, The Journal of Open Source Software, 2McKee, C. F. & Ostriker, E. C. 2007, ARA&A, 45, 565McMillan, S. L. W., Vesperini, E., & Portegies Zwart, S. F. 2007, ApJL, 655, L45Meingast, S., Alves, J., & Rottensteiner, A. 2021, A&A, 645, A84Mermilliod, J. C. 1981, A&A, 97, 235Miller, G. E. & Scalo, J. M. 1979, ApJS, 41, 513Moraux, E., Kroupa, P., & Bouvier, J. 2004, A&A, 426, 75Morton, T. D. 2015, isochrones: Stellar model grid package, Astrophysics Source Code Library, record ascl:1503.010Naidoo, K. 2019, The Journal of Open Source Software, 4, 1721Netopil, M., Paunzen, E., Heiter, U., & Soubiran, C. 2016, A&A, 585, A150Odenkirchen, M., Grebel, E. K., Rockosi, C. M., et al. 2001, ApJL, 548, L165Pang, X., Li, Y., Yu, Z., et al. 2021, ApJ, 912, 162Pang, X., Liao, S., Li, J., et al. 2024, ApJ, 966, 169Pedregosa, F., Varoquaux, G., Gramfort, A., et al. 2011, Journal of Machine Learning Research, 12, 2825Pelupessy, F. I., J¨anes, J., & Portegies Zwart, S. 2012, NA, 17, 711Pera, M. S., Perren, G. I., V´azquez, R. A., & Navone, H. D. 2022, Boletin de la Asociacion Argentina de Astronomia La Plata Argentina, 63, 121Pinfield, D. J., Jameson, R. F., & Hodgkin, S. T. 1998, MNRAS, 299, 955Piskunov, A. E., Schilbach, E., Kharchenko, N. V., R¨oser, S., & Scholz, R. D. 2007, A&A, 468, 151Plummer, H. C. 1911, MNRAS, 71, 460Portegies Zwart, S. & McMillan, S. 2018, Astrophysical Recipes; The art of AMUSEPortegies Zwart, S. F., McMillan, S. L. W., & Gieles, M. 2010, ARA&A, 48, 431Raboud, D. & Mermilliod, J. C. 1998, AAP, 333, 897Rebassa-Mansergas, A., Solano, E., Jim´enez-Esteban, F. M., et al. 2021, MNRAS, 506, 5201Reino, S., de Bruijne, J., Zari, E., d’Antona, F., & Ventura, P. 2018, MNRAS, 477, 3197Renaud, F., Gieles, M., & Boily, C. M. 2011, MNRAS, 418, 759Robin, A. C., Marshall, D. J., Schultheis, M., & Reyl´e, C. 2012, A&A, 538, A106Robinson, E., von Hippel, T., Stein, N., et al. 2016, BASE-9: Bayesian Analysis for Stellar Evolution with nine variables, Astrophysics Source Code Library, record ascl:1608.007R¨oser, S. & Schilbach, E. 2019, A&A, 627, A4R¨oser, S., Schilbach, E., & Goldman, B. 2019, A&A, 621, L2Rousseeuw, P. J. & van Driessen, K. 1999, Technometrics, 41, 212Rybizki, J., Green, G. M., Rix, H.-W., et al. 2022, MNRAS, 510, 2597Sabogal-Martiınez, B. E., Garcıa-Varela, J. A., Higuera G., M. A., Uribe, A., &Brieva, E. 2001, RMxAA, 37, 105Salaris, M. & Bedin, L. R. 2019, MNRAS, 483, 3098Salpeter, E. E. 1955, ApJ, 121, 161Sanders, W. L. 1971, A&A, 14, 226Slovak, M. H. 1977, AJ, 82, 818Smith, Haywood, J. & Eichhorn, H. 1996, MNRAS, 281, 211Song, F., Esamdin, A., Hu, Q., & Zhang, M. 2022, A&A, 666, A75Spina, L., Randich, S., Magrini, L., et al. 2017, A&A, 601, A70Spitzer, L., J. 1975, in Dynamics of the Solar Systems, ed. A. Hayli, Vol. 69, 3Spitzer, Lyman, J. 1958, ApJ, 127, 17Stock, J. & Abad, C. 1988, RMxAA, 16, 63Stolte, A., Brandner, W., Brandl, B., & Zinnecker, H. 2006, AJ, 132, 253Sun, W., de Grijs, R., Deng, L., & Albrow, M. D. 2019, ApJ, 876, 113Tang, S.-Y., Pang, X., Yuan, Z., et al. 2019, ApJ, 877, 12Tarricq, Y., Soubiran, C., Casamiquela, L., et al. 2022, A&A, 659, A59Tauris, T. M. & van den Heuvel, E. P. J. 2023, Physics of Binary Star Evolution. From Stars to X-ray Binaries and Gravitational Wave SourcesTremblay, P.-E., B´edard, A., O’Brien, M. W., et al. 2024, NAR, 99, 101705Uribe, A. & Brieva, E. 1994, APSS, 214, 171van Groeningen, M. G. J., Castro-Ginard, A., Brown, A. G. A., Casamiquela, L., &Jordi, C. 2023, A&A, 675, A68van Leeuwen, F. 1980, in Star Clusters, ed. J. E. Hesser, Vol. 85, 157–163van Leeuwen, F. 2009, A&A, 497, 209Van Ravenzwaaij, D., Cassey, P., & Brown, S. D. 2018, Psychonomic bulletin & review, 25, 143Vasilevskis, S., Klemola, A., & Preston, G. 1958, AJ, 63, 387Vasiliev, E. 2019, MNRAS, 484, 2832Vesperini, E. 2010, Philosophical Transactions of the Royal Society of London Series A, 368, 829Vesperini, E., McMillan, S. L. W., D’Antona, F., & D’Ercole, A. 2011, MNRAS, 416, 355Virtanen, P., Gommers, R., Oliphant, T. E., et al. 2020, Nature Methods, 17, 261von Hippel, T., Jefferys, W. H., Scott, J., et al. 2006, ApJ, 645, 1436Wallace, A. L. 2024, MNRAS, 527, 8718Wu, B. Y. & Chao, K.-M. 2004, Spanning trees and optimization problems (Chapman and Hall/CRC)Yong, D., Carney, B. W., & Friel, E. D. 2012, AJ, 144, 95Zapatero Osorio, M. R., G´alvez Ortiz, M. C., Bihain, G., et al. 2014, A&A, 568, A77Zhang, Y., Tang, S.-Y., Chen, W. P., Pang, X., & Liu, J. Z. 2020, ApJ, 889, 99Zhong, J., Chen, L., Kouwenhoven, M. B. N., et al. 2019, A&A, 624, A34Zucker, C., Peek, J. E. G., & Loebman, S. 2022, ApJ, 936, 160201727189Publication88a1271b-7c5b-4cba-a02a-87878aba01e4virtual::21835-188a1271b-7c5b-4cba-a02a-87878aba01e4virtual::21835-1https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0000382418virtual::21835-1ORIGINALOpen cluster dynamics.pdfOpen cluster dynamics.pdfRestricción de acceso hasta el año 2026. Este documento cuenta con información de dos artículos que están en arbitraje en revistas científicas.application/pdf5543137https://repositorio.uniandes.edu.co/bitstreams/1530951c-0b04-4759-99d6-2199f2981f0b/download64bf58a9ddca4c8fc4769c75849c2b26MD51Autorizacion.pdfAutorizacion.pdfHIDEapplication/pdf244040https://repositorio.uniandes.edu.co/bitstreams/ff11f30d-8004-4979-b123-b8af232d42b9/downloada16757eb49e7db0e34d37085c21efb2bMD52CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8908https://repositorio.uniandes.edu.co/bitstreams/8a351ffc-3799-46f7-b850-22dbac96b49a/download0175ea4a2d4caec4bbcc37e300941108MD53LICENSElicense.txtlicense.txttext/plain; charset=utf-82535https://repositorio.uniandes.edu.co/bitstreams/7e0f063c-0c1f-4a3c-98a1-84d25456c59a/downloadae9e573a68e7f92501b6913cc846c39fMD54TEXTOpen cluster dynamics.pdf.txtOpen cluster dynamics.pdf.txtExtracted texttext/plain101069https://repositorio.uniandes.edu.co/bitstreams/7fd8bd3a-6f09-478b-82fe-8e35c2e82212/download66ef401510e3ba45b25f61978ca23146MD55Autorizacion.pdf.txtAutorizacion.pdf.txtExtracted texttext/plain1940https://repositorio.uniandes.edu.co/bitstreams/c6084f5e-3e0c-4b30-8234-f6abeac43527/download12d94b9c08f5ac35da86ffd46f8d81c2MD57THUMBNAILOpen cluster dynamics.pdf.jpgOpen cluster dynamics.pdf.jpgGenerated Thumbnailimage/jpeg4257https://repositorio.uniandes.edu.co/bitstreams/bad2004b-5239-436c-8a3c-08996a5f899f/downloada1bec502a9c684c66dba2f44e8f60df7MD56Autorizacion.pdf.jpgAutorizacion.pdf.jpgGenerated Thumbnailimage/jpeg10949https://repositorio.uniandes.edu.co/bitstreams/3211334f-54a1-4b1e-848d-7111705f9dd5/download862b620ad48c0ba4666f59c66d3f3bb7MD581992/75274oai:repositorio.uniandes.edu.co:1992/752742024-12-16 10:24:31.913http://creativecommons.org/licenses/by/4.0/Attribution 4.0 Internationalembargohttps://repositorio.uniandes.edu.coRepositorio institucional Sénecaadminrepositorio@uniandes.edu.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