Abstract
This paper studies the orbital dynamics of the potential of asteroid 22 Kalliope using observational data of the irregular shape. The zero-velocity surface are calculated and showed with different Jacobian values. All five equilibrium points are found, four of them are outside and unstable, and the other one is inside and linearly stable. The movement and bifurcations of equilibrium points during the variety of rotation speed and density of the body are investigated. The Hopf bifurcations occurs during the variety of rotational speed from ω=1.0ω0 to 0.5ω0, and the Saddle-Node bifurcation occurs during the variety of rotational speed from ω=1.0ω0 to 2.0ω0. Both unstable and stable resonant periodic orbits around Kalliope are coexisting. The perturbation of an unstable periodic orbit shows that the gravitational field of Kalliope is strongly perturbed.
References
Aljbaae, S., Chanut, T. G. G., Carruba, V., Souchay, J., Prado, A. F. B. A. Amarante, A. 2017, MNRAS, 464 (3), 3552-3560.Search in Google Scholar
Chanut, T.G.G., Winter, O.C., Amarante, A., Araújo, N.C.S.2015, MNRAS, 452(2), 1316-1327.Search in Google Scholar
Descamps, P., Marchis, F., Pollock, J., Berthier, J., Vachier, F., Birlan, M., et al. 2018, Icarus, 196(2), 578-600.Search in Google Scholar
Guirao, J.L. Vera, J.A. 2010, Journal of Physics A: Mathematical and Theoretical, 43(19), p.195203.Search in Google Scholar
Khushalani, B. 2000, Current Science, 79 (11), 1578-1580.Search in Google Scholar
Laver, C., De Pater, I., Marchis, F., Ádámkovics, M. Wong, M.H. 2009, Icarus, 204(2), 574-579.Search in Google Scholar
Marchis, F., Descamps, P., Hestroffer, D., Berthier, J., Vachier, F., Boccaletti, A., et al. 2003, Icarus, 165(1), 112-120.Search in Google Scholar
Marchis, F., Enriquez, J.E., Emery, J.P., Mueller, M., Baek, M., Pollock, J., Assafin, M., Martins, R.V., Berthier, J., Vachier, F. and Cruikshank, D.P. 2012, Icarus, 221(2), 1130-1161.Search in Google Scholar
Merline, W. J., Ménard, F., Close, L., Dumas, C., Chapman, C.R., Slater, D.C., 2001. Publication: IAU Circ. 7703.Search in Google Scholar
Ni, Y., Jiang, Y., Baoyin, H. 2016, Astrophys. Space Sci., 361(5), 170.Search in Google Scholar
Jain, R., Sinha, D. 2014, Astrophys. Space Sci., 351(1): 87-100.Search in Google Scholar
Johnston, W. R. (22) Kalliope and Linus. 2014, http://www.johnstonsarchive.net/astro/astmoons/am-00022.htmlSearch in Google Scholar
Jiang, Y., Baoyin, H. 2014, J. Astrophys. Astron., 35(1), 17-38.Search in Google Scholar
Jiang, Y., Baoyin, H., Li, H. 2015, MNRAS, 452 (4), 3924-3931.Search in Google Scholar
Jiang, Y., Baoyin, H., Li, J. and Li, H. 2014, Astrophys. Space Sci., 349(1), 83-106.Search in Google Scholar
Jiang, Y., Baoyin, H., Wang, X., Yu, Y., Li, H., Peng, C., et al. 2016, Nonlinear Dynamics, 83(1-2), 231-252.Search in Google Scholar
Scheeres, D. J., Ostro, S. J., Hudson, R. S., Werner, R. A. 1996, Icarus, 121, 67-87.Search in Google Scholar
Scheeres, D.J., Hesar, S.G., Tardivel, S., Hirabayashi, M., Farnocchia, D., McMahon, J.W., Chesley, S.R., Barnouin, O., Binzel, R.P., Bottke, W.F., Daly, M.G. 2016, Icarus, 276, 116-140.Search in Google Scholar
Sokova, I.A., Sokov, E.N., Roschina, E.A., Rastegaev, D.A., Kiselev, A.A., Balega, Y.Y., Gorshanov, D.L., Malogolovets, E.V., Dyachenko, V.V., Maksimov, A.F.: 2014, Icarus. 236, 157-164.10.1016/j.icarus.2014.04.001Search in Google Scholar
Vera, J.A. 2009, Nonlinear Dynamics, 55(1-2), 191-201.Search in Google Scholar
Wang, X., Jiang, Y., Gong, S. 2014, Astrophys. Space Sci., 353(1), 105-121.Search in Google Scholar
Wang, X., Li, J., Gong, S. 2016, MNRAS, 455(4), 3724-3734.Search in Google Scholar
Wang, Y. Xu, S. 2014,. Nonlinear Dynam., 78(1), 1-13.Search in Google Scholar
Werner, R. A. Scheeres, D. J. 1997, Celest. Mech. Dynam. Astron., 65(3), 313-344.Search in Google Scholar
Yang, H.W., Zeng, X.Y., Baoyin, H. 2015, Res. Astron. Astrophys., 15(9), 1571.Search in Google Scholar
Yang, H.W., Bai, X.L., Li, S. 2018, J. Guid. Control Dynam. 41(6), 1308-131910.2514/1.G003295Search in Google Scholar
Yu, Y., Baoyin, H. 2012a, Astron. J. 143(3), 62-70.Search in Google Scholar
Yu, Y., Baoyin, H. 2012b, MNRAS, 427(1), 872-881.Search in Google Scholar
Zhang, M.J., Zhao, C.Y. 2015, Astrophys. Space Sci., 355(2) 203-212.Search in Google Scholar
Zeng, X., Baoyin, H., Li, J. 2016, Astrophys. Space Sci., 361(1), 15.Search in Google Scholar
Zeng, X., Zhang, Y., Yu, Y., Liu, X. 2018, AJ, 155(2), 85.Search in Google Scholar
© 2019 Yu Jiang et al., published by De Gruyter Open
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