SMuK 2023 – wissenschaftliches Programm
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EP: Fachverband Extraterrestrische Physik
EP 1: Planets and small Objects
EP 1.5: Vortrag
Montag, 20. März 2023, 12:00–12:15, HSZ/0004
Conformal mapping for the planetary bow shock and magnetopause studies — •Yasuhito Narita1, Simon Toepfer2, and Daniel Schmid1 — 1Space Research Institute, Austrian Academy of Sciences, Graz, Austria — 2Institut für Theoretische Physik, Technische Universität Braunschweig, Braunschweig, Germany
The concept of conformal mapping is introduced to the planetary magnetospheric research as a useful tool to characterize the bow shock and magnetopause geometry and to directly compare the in-situ measurements of magnetic field and plasma flow with the theoretical models. Various models of the planetary bow shock and magnetopause can be extended from the real-number expression to the conformal mapping in the complex plane. By doing so, the spatial domains around the bow shock and magnetopause are easily expressed in orthogonal curvilinear coordinates. In particular, the parabolic bow shock and the tail-elongated magnetopause are found to be conformally mapped using only elementary analytic expressions. Conformal mapping opens the door to construct a high-precision steady-state model of the magnetic field and plasma flow in the planetary magnetosheath region by transforming the Kobel-Flueckiger scalar potential, the exact solution of Laplace equation in parabolic magnetosheath coordinates, to arbitrary two-dimensional bow shock and magnetopause shapes. Such a model will significantly ease the interpretation of magnetic field or plasma data in the planetary missions, as one obtains the global picture of bow shock, magnetopause, and magnetosheath from the model either from the measurements or from the given solar wind condition.