Abstract
We investigate the collapse of magnetic protostellar clouds of mass 10 and \(1\;{{M}_{ \odot }}\). The collapse is simulated numerically using the two-dimensional magneto-gas-dynamic (MHD) code “Enlil.” The simulations show that protostellar clouds acquire a hierarchical structure by the end of the isothermal stage of collapse. Under the action of the electromagnetic force, the protostellar cloud takes the form of an oblate envelope with the half-thickness to radius ratio \(Z{\text{/}}R \sim 0.20{-} 0.95\). A geometrically and optically thin primary disk with radius \((0.2{-} 0.7){{R}_{0}}\) and \(Z{\text{/}}R\) ~ (10–2–10–1) forms inside the envelope, where \({{R}_{0}}\) is the initial radius of the cloud. Primary disks are the structures in magnetostatic equilibrium. They form when the initial magnetic energy of the cloud exceeds 20% of its gravitational energy. The mass of the primary disk is 30–80% of the initial mass of the cloud. The first hydrostatic core subsequently forms in the center of the primary disc. We discuss the role of primary disks in the further evolution of clouds, as well as possible observational appearance of the internal hierarchy of the collapsing cloud from the point of view of the features of the magnetic field geometry and the distribution of angular momentum at different levels of the hierarchy.
Similar content being viewed by others
REFERENCES
M. L. Enoch, S. Corder, G. Duchêne, D. C. Bock, et al., Astrophys. J. Suppl. 195, 21 (2011).
P. S. Teixeira, C. J. Lada, and J. F. Alves, Astrophys. J. 629, 276 (2005).
R. Launhardt, A. M. Stutz, A. Schmiedeke, T. Henning, et al., Astron. Astrophys. 551, A98 (2013).
S. I. Sadavoy, E. Keto, T. L. Bourke, M. M. Dunham, et al., Astrophys. J. 852, 102 (2018).
M. Tang, T. Liu, S.-L. Qin, K.-T. Kim, et al., Astrophys. J. 856, 141 (2018).
P. Caselli, P. J. Benson, P. C. Myers, and M. Tafalla, Astrophys. J. 572, 238 (2002).
A. Punanova, P. Caselli, J. E. Pineda, A. Pon, M. Tafalla, A. Hacar, and L. Bizzocchi, Astron. Astrophys. 617, A27 (2018).
R. M. Crutcher, Ann. Rev. Astron. Astrophys. 50, 29 (2012).
M. Galametz, A. Maury, J. M. Girart, R. Rao, et al., Astron. Astrophys. 616, A139 (2018).
H.-B. Li, C. D. Dowell, A. Goodman, R. Hildebrand, and G. Novak, Astrophys. J. 704, 891 (2009).
T. H. Troland and R. M. Crutcher, Astrophys. J. 680, 457 (2008).
P. Andre, D. Ward-Thompson, and M. Barsony, Astrophys. J. 406, 122 (1993).
C.-F. Lee, N. Hirano, Q. Zhang, H. Shang, P. T. R. Ho, and R. Krasnopolsky, Astrophys. J. 786, 114 (2014).
L. W. Looney, J. J. Tobin, and W. Kwon, Astrophys. J. 670, L131 (2007).
N. Ohashi, M. Hayashi, P. T. P. Ho, and M. Momose, Astrophys. J. 475, 211 (1997).
J. J. Tobin, L. Hartmann, L. W. Looney, and H.-F. Chiang, Astrophys. J. 712, 1010 (2010).
G. J. Wiseman, A. Wootten, H. Zinnecker, and M. McCaughrean, Astrophys. J. 550, L87 (2001).
M. Gaudel, A. J. Maury, A. Belloche, S. Maret, et al., Astron. Astrophys. 637, A92 (2020).
C.-F. Lee, W. Kwon, K.-S. Jhan, N. Hirano, et al., Astrophys. J. 879, 101 (2019).
J. J. Tobin, L. Hartmann, H.-F. Chiang, D. J. Wilner, L. W. Looney, L. Loinard, N. Calvet, and P. D’Alessio, Nature (London, U.K.) 492, 83 (2012).
J. K. Jørgensen, E. F. van Dishoeck, R. Visser, T. L. Bourke, D. J. Wilner, D. Lommen, M. R. Hogerheijde, and P. C. Myers, Astron. Astrophys. 507, 861 (2009).
S. Maret, A. J. Maury, A. Belloche, M. Gaudel, et al., Astron. Astrophys. 635, A15 (2020).
J. J. Tobin, P. D. Sheehan, S. T. Megeath, A. K. Diaz-Rodriguez, et al., Astrophys. J. 890, 130 (2020).
J. E. Lindberg, J. K. Jørgensen, C. Brinch, T. Haugbolle, et al., Astron. Astrophys. 566, A74 (2014).
N. M. Murillo and S.-P. Lai, Astrophys. J. Lett. 764, L15 (2013).
H. H.-W. Yen, P. M. Koch, S. Takakuwa, R. Krasnopolsky, N. Ohashi, and Y. Aso, Astrophys. J. 834, 178 (2017).
C. L. H. Hull, R. L. Plambeck, W. Kwon, G. C. Bower, et al., Astrophys. J. Suppl. 213, 13 (2014).
J. M. Girart, R. Rao, and D. P. Marrone, Science (Washington, DC, U. S.) 313, 812 (2006).
J. A. Davidson, G. Novak, T. G. Matthews, B. Matthews, et al., Astrophys. J. 732, 97 (2011).
N. L. Chapman, J. A. Davidson, P. F. Goldsmith, M. Houde, et al., Astrophys. J. 770, 151 (2013).
D. C. Black and E. H. Scott, Astrophys. J. 263, 696 (1982).
T. Nakano, Publ. Astron. Soc. Pacif. 31, 697 (1979).
D. Galli and F. H. Shu, Astrophys. J. 417, 220 (1993).
P. Hennebelle and A. Ciardi, Astron. Astrophys. 506, L29 (2009).
K. H. Lam, Z.-Y. Li, C.-Y. Chen, K. Tomida, and B. Zhao, Mon. Not. R. Astron. Soc. 489, 5326 (2019).
K. Tomisaka, Astrophys. J. 575, 306 (2002).
F Y. Tsukamoto, S. Okuzumi, K. Iwasaki, M. N. Machida, and S.-I. Inutsuka, Publ. Astron. Soc. Pacif. 69, 95 (2017).
B. Zhao, P. Caselli, Z.-Y. Li, and R. Krasnopolsky, Mon. Not. R. Astron. Soc. 473, 4868 (2018).
D. Galli, S. Lizano, F. H. Shu, and A. Allen, Astrophys. J. 647, 374 (2006).
B. Zhao, K. Tomida, P. Hennebelle, J. J. Tobin, et al., Solar Syst. Res. 216, 43 (2020).
A. E. Dudorov, A. G. Zhilkin, and O. A. Kuznetsov, Mat. Model. 11, 110 (1999).
A. E. Dudorov, A. G. Zhilkin, N. Y. Lazareva, and O. A. Kuznetsov, Astron. Astrophys. Trans. 19, 515 (2000).
A. E. Dudorov and Yu. V. Sazonov, Nauch. Inform. 50, 98 (1982).
T. Nakano, R. Nishi, and T. Umebayashi, Astrophys. J. 573, 199 (2002).
Q A. G. Zhilkin, Y. N. Pavlyuchenkov, and S. N. Zamozdra, Astron. Rep. 53, 590 (2009).
A. E. Dudorov, A. G. Zhilkin, and O. A. Kuznetsov, in Numerical Astrophysics, Proceedings of the International Conference on Numerical Astrophysics 1998 (NAP98), Tokyo, Japan, March 10–13, 1998, Ed. by S. M. Miyama, K. Tomisaka, and T. Hanawa, Astrophys. Space Sci. Libr. 240, 389 (1999).
A. E. Dudorov, A. G. Zhilkin, and O. A. Kuznetsov, Mat. Model. 11, 101 (1999).
D. Semenov, T. Henning, C. Helling, M. Ilgner, and E. Sedlmayr, Astron. Astrophys. 410, 611 (2003).
A. E. Dudorov and A. G. Zhilkin, Sov. J. Exp. Theor. Phys. 96, 165 (2003).
R. B. Larson, Mon. Not. R. Astron. Soc. 145, 271 (1969).
E. H. Scott and D. C. Black, Astrophys. J. 239, 166 (1980).
ACKNOWLEDGMENTS
The authors are grateful to the referee for the evaluation of the work and useful comments.
Funding
The work of S.A. Khaibrakhmanov in Section 6 was supported by the Russian Foundation for Basic Research (project 18-52-52006). The work of A.E. Dudorov in Section 3 was supported by the Russian Foundation for Basic Research (project 18-02-01067). The work of N.S. Kar-galtseva in Section 5 was supported by the Russian Science Foundation (project 19-72-10012). A.G. Zhilkin’s work in Section 2 was supported by the Government of the Russian Federation and the Ministry of Higher Education and Science of the Russian Federation, grant 075-15-2020-780 (N13.1902.21.0039).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Khaibrakhmanov, S.A., Dudorov, A.E., Kargaltseva, N.S. et al. Simulations of the Isothermal Collapse of Magnetic Rotating Protostellar Clouds. Astron. Rep. 65, 693–704 (2021). https://doi.org/10.1134/S1063772921090043
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063772921090043