Serbian Astronomical Journal 2022 Issue 204, Pages: 51-63
https://doi.org/10.2298/SAJ2204051F
Full text ( 3632 KB)
Cited by
Mercury and orbfit packages for numerical integration of planetary systems: implementation of the yarkovsky and yorp effects
Fenucci Marco (Department of Astronomy, Faculty of Mathematics, University of Belgrade, Belgrade, Serbia), marco_fenucci@matf.bg.ac.rs
Novaković Bojan (Department of Astronomy, Faculty of Mathematics, University of Belgrade, Belgrade, Serbia), bojan@matf.bg.ac.rs
For studies of the long-term evolution of small Solar System objects, it is
fundamental to add the Yarkovsky and Yarkovsky-O'Keefe-Radzievskii-Paddack
(YORP) effects in the dynamical model. Still, implementations of these
effects in publicly available N-body codes is either lacking, or the effects
are implemented using significantly simplified models. In this paper, we
present an implementation of the coupled Yarkovsky/YORP effects in the
mercury and orbfit N-body codes. Along with these two effects, we also
included the effects of non-destructive collisions and rotationally induced
breakups to model the asteroid spin state properly. Given the stochastic
nature of many incorporated effects, the software is suitable for
statistical dynamical studies. Here we primarily explained the scientific
aspect of the implementation, while technical details will be made freely
available along with the source codes.
Keywords: Minor planets, asteroids: general, Celestial mechanics, Planets and satellites: Dynamical evolution and stability
Project of the Serbian Ministry of Education, Science and Technological Development, Grant no. 451-03-68/2022-14/200104
Show references
Arakawa, M., Saiki, T., Wada, K., et al. 2020, Sci, 368, 67
Bolmont, E., Raymond, S. N., Leconte, J., Hersant, F. and Correia, A. C. M. 2015, A&A, 583, A116
Bottke, W. F., Morbidelli, A., Jedicke, R., et al. 2002, Icar, 156, 399
Bottke, W. F., Vokrouhlický, D., Walsh, K. J., et al. 2015, Icar, 247, 191
Bottke, William F., J., Vokrouhlický, D., Rubincam, D. P. and Nesvorný, D. 2006, AREPS, 34, 157
Brož, M., Vokrouhlický, D., Morbidelli, A., Nesvorný, D. and Bottke, W. F. 2011, MNRAS, 414, 2716
Bulirsch, R. and Stoer, J. 2002, Introduction to Numerical Analysis, 3rd edn., Texts in Applied Mathematics 12 (Springer New York)
Čapek, D. and Vokrouhlický, D. 2004, Icar, 172, 526
Carpino, M., Milani, A. and Nobili, A. M. 1987, A&A, 181, 182
Chambers, J. E. 1999, MNRAS, 304, 793
Chambers, J. E. and Migliorini, F. 1997, in AAS/DPS Meeting Abstracts #29, AAS/Division for Planetary Sciences Meeting Abstracts, 27.06
Cotto-Figueroa, D., Statler, T. S., Richardson, D. C. and Tanga, P. 2015, ApJ, 803, 25
Del Vigna, A., Roa, J., Farnocchia, D., et al. 2019, A&A, 627, L11
Delbó, M., Libourel, G., Wilkerson, J., et al. 2014, Natur, 508, 233
Dell'Oro, A., Boccenti, J., Spoto, F., Paolicchi, P. and Knežević, Z. 2021, MNRAS, 506, 4302
Dermott, S. F., Li, D., Christou, A. A., et al. 2021, MNRAS, 505, 1917
Đošović, V., Novaković, B., Vukotić, B. and Ćirković, M. M. 2020, MNRAS, 499, 4626
Everhart, E. 1985, An efficient integrator that uses Gauss-Radau spacings, Vol. 115 (Cambridge University Press), 185
Farinella, P. and Vokrouhlicky, D. 1999, Sci, 283, 1507
Farinella, P., Vokrouhlický, D. and Hartmann, W. K. 1998, Icar, 132, 378
Fenucci, M. and Novaković, B. 2021, AJ, 162, 227
Fenucci, M., Novaković, B., Vokrouhlický, D. and Weryk, R. J. 2021, A&A, 647, A61
Golubov, O. 2017, AJ, 154, 238
Golubov, O. and Krugly, Y. N. 2012, ApJL, 752, L11
Golubov, O. and Scheeres, D. J. 2019, AJ, 157, 105
Golubov, O., Unukovych, V. and Scheeres, D. J. 2021, AJ, 162, 8
Granvik, M., Morbidelli, A., Vokrouhlický, D., et al. 2017, A&A, 598, A52
Grimm, S. L. and Stadel, J. G. 2014, ApJ, 796, 23
Hairer, E. and Wanner, G. 1996, Solving Ordinary Differential Equations II: Stiff and Diérential-Algebraic Problems, 2nd edn., Springer Series in Computational Mathematics 14 (Springer-Verlag Berlin Heidelberg)
Holsapple, K. A. 2007, Icar, 187, 500
Horz, F. and Cintala, M. J. 1996, Meteoritics and Planetary Science Supplement, 31, A65
Hsieh, H. H., Novaković, B., Walsh, K. J. and Schörghofer, N. 2020, AJ, 159, 179
Hu, S., Richardson, D. C., Zhang, Y. and Ji, J. 2021, MNRAS, 502, 5277
Kim, Y., Hirabayashi, M., Binzel, R. P., et al. 2021, Icar, 358, 114205
Knežević, Z. 2020, MNRAS, 497, 4921
Knežević, Z. and Milani, A. 2000, CeMDA, 78, 17
Lauretta, D. S., Dellagiustina, D. N., Bennett, C. A., et al. 2019, Natur, 568, 55
Levison, H. F. and Duncan, M. J. 1994, Icar, 108, 18
Marsden, B. G., Sekanina, Z. and Yeomans, D. K. 1973, AJ, 78, 211
Martin, R. G. and Livio, M. 2021, MNRAS, 506, L6
Marzari, F., Rossi, A., Golubov, O. and Scheeres, D. J. 2020, AJ, 160, 128
Michikami, T., Nakamura, A. M., Hirata, N., et al. 2008, Earth, Planets, and Space, 60, 13
Milani, A. and Nobili, A. M. 1988, Celestial Mechanics, 43, 1
Milani, A., Cellino, A., Knežević, Z., et al. 2014, Icar, 239, 46
Muinonen, K. 1998, A&A, 332, 1087
Murray, C. D. and Dermott, S. F. 2000, Solar System Dynamics, 1st edn. (Cambridge University Press)
Nesvorný, D. and Vokrouhlický, D. 2007, AJ, 134, 1750
Nobili, A. M., Milani, A. and Carpino, M. 1989, A&A, 210, 313
Novaković, B., Maurel, C., Tsirvoulis, G. and Knežević, Z. 2015, ApJL, 807, L5
Paolicchi, P. and Knežević, Z. 2016, Icar, 274, 314
Pavela, D., Novaković, B., Carruba, V. and Radović, V. 2021, MNRAS, 501, 356
Pravec, P. and Harris, A. W. 2000, Icar, 148, 12
Pravec, P., Harris, A. W. and Michalowski, T. 2002, Asteroid Rotations (University of Arizona Press), 113-122
Pravec, P., Vokrouhlický, D., Polishook, D., et al. 2010, Natur, 466, 1085
Rein, H. and Liu, S. F. 2012, A&A, 537, A128
Richardson, D. C., Bottke, W. F. and Love, S. G. 1998, Icar, 134, 47
Roa, J., Farnocchia, D. and Chesley, S. R. 2021, AJ, 162, 277
Sánchez, P. and Scheeres, D. J. 2018, Progress in Earth and Planetary Science, 5
Sánchez, P. and Scheeres, D. J. 2020, Icar, 338, 113443
Scheeres, D. J. 2007, Icar, 188, 430
Scheeres, D. J. and Mirrahimi, S. 2008, CeMDA, 101, 69
Spitale, J. and Greenberg, R. 2001, Icar, 149, 222
Spoto, F., Milani, A. and Knežević, Z. 2015, Icar, 257, 275
Statler, T. S. 2009, Icar, 202, 502
Tamayo, D., Rein, H., Shi, P. and Hernandez, D. M. 2020, MNRAS, 491, 2885
Vokrouhlický, D. 1998, A&A, 338, 353
Vokrouhlický, D. 1999, A&A, 344, 362
Vokrouhlický, D. and Čapek, D. 2002, Icar, 159, 449
Vokrouhlický, D., Brož, M., Bottke, W. F., Nesvorný, D. and Morbidelli, A. 2006, Icar, 182, 118
Vokrouhlický, D., Breiter, S., Nesvorný, D. and Bottke, W. F. 2007, Icar, 191, 636
Vokrouhlický, D., Bottke, W. F., Chesley, S. R., Scheeres, D. J. and Statler, T. S. 2015, The Yarkovsky and YORP Effects (University of Arizona Press), 509-532
Watanabe, S., Hirabayashi, M., Hirata, N., et al. 2019, Sci, 364, 268
Wisdom, J., Holman, M. and Touma, J. 1996, Fields Institute Communications, 10, 217
Zhang, K. and Gladman, B. J. 2022, NewA, 90, 101659
Zhang, Y., Michel, P., Richardson, D. C., et al. 2021, Icar, 362, 114433