Preprints
https://doi.org/10.5194/angeo-2021-59
https://doi.org/10.5194/angeo-2021-59

  14 Oct 2021

14 Oct 2021

Review status: this preprint is currently under review for the journal ANGEO.

Reconstruction of Mercury’s internal magnetic field beyond the octupole

Simon Toepfer1, Ida Oertel1, Vanita Schiron1, Yasuhito Narita2,3, Karl-Heinz Glassmeier3,4, Daniel Heyner3, Patrick Kolhey3, and Uwe Motschmann1,5 Simon Toepfer et al.
  • 1Institut für Theoretische Physik, Technische Universität Braunschweig, Braunschweig, Germany
  • 2Space Research Institute, Austrian Academy of Sciences, Graz, Austria
  • 3Institut für Geophysik und extraterrestrische Physik, Technische Universität Braunschweig, Braunschweig, Germany
  • 4Max-Planck-Institut für Sonnensystemforschung, Göttingen, Germany
  • 5DLR Institute of Planetary Research, Berlin, Germany

Abstract. The reconstruction of Mercury’s internal magnetic field enables us to take a look into the inner heart of Mercury. In view of the BepiColombo mission, Mercury’s magnetosphere is simulated using a hybrid plasma code and the multipoles of the internal magnetic field are estimated from the virtual spacecraft data using three distinct reconstruction methods: the truncated singular value decomposition, the Tikhonov regularization and Capon’s minimum variance projection. The study shows that a precise determination of Mercury’s internal field beyond the octupole, up to the dotriacontapole is possible and that Capon’s method provides the same high performance as the Tikhonov regularization, which is superior to the performance of the truncated singular value decomposition.

Simon Toepfer et al.

Status: final response (author comments only)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on angeo-2021-59', Anonymous Referee #1, 24 Nov 2021
    • AC1: 'Reply on RC1', Simon Töpfer, 26 Nov 2021
  • RC2: 'Comment on angeo-2021-59', Anonymous Referee #2, 25 Nov 2021
    • AC2: 'Reply on RC2', Simon Töpfer, 26 Nov 2021

Simon Toepfer et al.

Simon Toepfer et al.

Viewed

Total article views: 437 (including HTML, PDF, and XML)
HTML PDF XML Total BibTeX EndNote
390 38 9 437 2 2
  • HTML: 390
  • PDF: 38
  • XML: 9
  • Total: 437
  • BibTeX: 2
  • EndNote: 2
Views and downloads (calculated since 14 Oct 2021)
Cumulative views and downloads (calculated since 14 Oct 2021)

Viewed (geographical distribution)

Total article views: 437 (including HTML, PDF, and XML) Thereof 437 with geography defined and 0 with unknown origin.
Country # Views %
  • 1
1
 
 
 
 
Latest update: 02 Dec 2021
Download
Short summary
Revealing the nature of Mercury’s internal magnetic field is one of the primary goals of the BepiColombo mission. Besides the parametrization of the magnetic field contributions, the application of a robust inversion method is of major importance. The present work provides an overview of the most commonly used inversion methods and shows that Capon’s method as well as the Tikhonov regularization enable a high precision determination of Mercury’s internal magnetic field up to the fifth degree.