27 Oct 2022
27 Oct 2022
Status: this preprint is currently under review for the journal ANGEO.

Magnetopause as conformal mapping

Yasuhito Narita1, Simon Toepfer2, and Daniel Schmid1 Yasuhito Narita et al.
  • 1Space Research Institute, Austrian Academy of Sciences, Schmiedlstr. 6, 8042 Graz, Austria
  • 2Institut für Theoretische Physik, Technische Universität Braunschweig, Mendelssohnstr. 3, 38106 Braunschweig, Germany

Abstract. Magnetopause model is presented as a conformal mapping in the complex plane. The model is an analytic continuation of the power-law damped (or asymptotically elongated) parabolic shape constructed by Shue et al. (J. Geophys. Res., 102, 9497, 1997). The analytic expression of the magnetopause using the conformal mapping opens the door to properly map the magnetopause and magnetosheath coordinates from one model to another.

Yasuhito Narita et al.

Status: open (until 08 Dec 2022)

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Yasuhito Narita et al.

Yasuhito Narita et al.


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Short summary
Magnetopause is a boundary of magnetosphere. Many mathematical models have been proposed to describe or to reproduce the magnetopause location, but they are restricted to the real-number functions. In this work, we develop a magnetopause model in the complex-number domain, which is advantageous in deforming the magnetopause shape in a conformal (angle-preserving) way, and is suited to compare different models or map one model onto another.