Articles | Volume 41, issue 1
ANGEO Communicates
24 Jan 2023
ANGEO Communicates |  | 24 Jan 2023

Magnetopause as conformal mapping

Yasuhito Narita, Simon Toepfer, and Daniel Schmid

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Subject: Magnetosphere & space plasma physics | Keywords: Magnetopause, cusp, and boundary layers
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Statistical analysis of magnetopause crossings at lunar distances
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Cited articles

Cairns, I. H., Fairfield, D. H., Anderson, R. R., Carlton, V. E. H., Paularenas, K. I., and Lazarus, A.: Unusual locations of Earth's bow shock on 24–25 September 1987: Mach number effects, J. Geophys. Res., 100, 47–62, 1995.
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Encyclopedia of Mathematics: European Mathematical Society, EMS Press, (last access: 20 January 2023), 2020. a
Guicking, L., Glassmeier, K.-H., Auster, H.-U., Narita, Y., and Kleindienst, G.: Low-frequency magnetic field fluctuations in Earth's plasma environment observed by THEMIS, Ann. Geophys., 30, 1271–1283,, 2012. a
Joukowsky, N. E.: Über die Konturen der Tragflächen der Drachenflieger, Zeitschrift für Flugtechnik und Motorluftschifffahrt, 1, 281–284, 1910 (also 3, 81–86, 1912). a
Short summary
Magnetopause is a shielding boundary of planetary magnetic field. 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 analytically 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.