24 Jan 2023
24 Jan 2023
Status: this preprint is currently under review for the journal ANGEO.

Potential mapping method for the steady-state magnetosheath model

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. We present the potential mapping method which is a model of steady-state flow velocity and magnetic field in the empirical magnetosheath domain. The method makes use of a coordinate transformation from the empirical magnetosheath domain into the parabolic magnetosheath domain, and evaluate a set of the shell variable and the connector variable to utilize the solution of Laplace equation obtained for the parabolic magnetosheath domain. Our model uses two invariants of transformation: the zenith angle in the magnetosheath and the ratio of the distance to the magnetopause to the thickness of magnetosheath along the magnetopause-normal direction. The plasma flow and magnetic field can be determined as a function of the upstream condition (flow velocity or magnetic field) in a wider range of zenith angle. The potential mapping method is computationally inexpensive by using the analytic expression as much as possible, is applicable to the planetary magnetosheath domains.

Yasuhito Narita et al.

Status: open (until 07 Mar 2023)

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Yasuhito Narita et al.

Yasuhito Narita et al.


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Short summary
The magnetosheath is a transition layer surrounding the planetary magnetosphere. We developed an algorithm to compute the plasma flow velocity and magnetic field for an arbitrarily-shaped magnetosheath using the concept of potential field. Application to the empirical Earth magnetosheath is shown in the paper. The developed algorithm is useful when interpreting the spacecraft data or simulation of the planetary magnetosheath region.