NDLI: Rotational evolution of exoplanets under the action of gravitational and magnetic perturbations

Content Provider	Springer Nature Link
Author	Kitiashvili, Irina N. Gusev, Alexander
Copyright Year	2008
Abstract	We investigate the evolution of the rotational axes of exoplanets under the action of gravitational and magnetic perturbations. The planet is assumed to be dynamically symmetrical and to be magnetised along its dynamical-symmetry axis. By qualitative methods of the bifurcation theory of multiparametric PDEs, we have derived a gallery of 69 phase portraits. The portraits illustrate evolutionary trajectories of the angular momentum $${\vec L}$$ of a planet for a variety of the initial conditions, for different values of the ratio between parameters describing gravitational and magnetic perturbations, and for different rates of the orbital evolution. We provide examples of the phase portraits, that reveal the differences in topology and the evolutionary track of $${\vec L}$$ in the vicinity of an equilibrium state. We determine the bifurcation properties, i.e., the way of reorganisation of phase trajectories in the vicinities of equilibria; and we point out the combinations of parameters’ values that permit ip-overs from a prograde to a retrograde spin mode.
Starting Page	121
Ending Page	140
Page Count	20
File Format	PDF
ISSN	09232958
Journal	Celestial Mechanics and Dynamical Astronomy
Volume Number	100
Issue Number	2
e-ISSN	15729478
Language	English
Publisher	Springer Netherlands
Publisher Date	2008-01-29
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Exoplanets Rotational evolution Gravitational and magnetic perturbations Qualitative analysis Bifurcation theory Mathematics Astronomy
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Mathematical Physics Astronomy and Astrophysics Modeling and Simulation Computational Mathematics Space and Planetary Science

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