S S symmetry Article Symmetries of Magnetic Fields Driven by Spherical Dynamos of Exoplanets and Their Host Stars Dmitry Sokoloff 1,2,3 , Helmi Malova 4,5 and Egor Yushkov 1,3,5,* 1 Department of Physics, Lomonosov Moscow State University, 119991 Moscow, Russia;
[email protected] 2 Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation RAS, 142191 Troitsk, Russia 3 Moscow Center of Fundamental and Applied Mathematics, 119991 Moscow, Russia 4 Skobeltsyn Institute of Nuclear Physics of MSU, 119991 Moscow, Russia;
[email protected] 5 Space Research Institute RAS (IKI), 117997 Moscow, Russia * Correspondence:
[email protected]; Tel.: +7-916-774-52-72 Received:25 October 2020; Accepted:13 December 2020 ; Published: 15 December 2020 Abstract: Observations of exoplanets open a new area of scientific activity and the structure of exoplanet magnetospheres is an important part of this area. Here we use symmetry arguments and experiences in spherical dynamo modeling to obtain the set of possible magnetic configurations for exoplanets and their corresponding host stars. The main part of our results is that the possible choice is much richer than the basic dipole magnetic field of both exoplanets and stars. Other options, for example, are quadrupole configurations or mixed parity solutions. Expected configurations of current sheets for the above mentioned exoplanet host star systems are presented as well. Keywords: exoplanets and host stars; spherical magnetic dynamo; magnetic field configurations; dipole and quadrupole symmetries; current sheets. 1. Introduction Exoplanets is a new area for scientific investigations that accumulates ideas from various more traditional scientific branches [1–4].