Mathematical foundation of Capon's method for planetary magnetic field analysis

Toepfer, Simon; Narita, Yasuhito; Heyner, Daniel; Kolhey, Patrick; Motschmann, Uwe

doi:https://doi.org/10.5194/gi-9-471-2020

Articles | Volume 9, issue 2

https://doi.org/10.5194/gi-9-471-2020

© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

https://doi.org/10.5194/gi-9-471-2020

© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

Articles | Volume 9, issue 2

Research article

|

16 Dec 2020

Research article |

| 16 Dec 2020

Mathematical foundation of Capon's method for planetary magnetic field analysis

Simon Toepfer, Yasuhito Narita, Daniel Heyner, Patrick Kolhey, and Uwe Motschmann

Download

Final revised paper (published on 16 Dec 2020)
Preprint (discussion started on 03 Aug 2020)

Interactive discussion

Status: closed

AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment

- Printer-friendly version

- Supplement

RC1: 'Review report', Anonymous Referee #1, 07 Sep 2020
- AC1: 'Point-by-point-Reply to reviewer 1', Simon Töpfer, 01 Oct 2020
RC2: 'Mathematical foundation of Capon’s method for planetary magnetic field analysis', Anonymous Referee #2, 25 Oct 2020
- AC2: 'Point-by-point-Reply to reviewer 2', Simon Töpfer, 26 Oct 2020

Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision

AR by Simon Töpfer on behalf of the Authors (28 Oct 2020)

ED: Publish as is (06 Nov 2020) by Lev Eppelbaum

AR by Simon Töpfer on behalf of the Authors (06 Nov 2020)

Short summary

The Capon method serves as a powerful and robust data analysis tool when working on various kinds of ill-posed inverse problems. Besides the analysis of waves, the method can be used in a generalized way to compare actual measurements with theoretical models, such as Mercury's magnetic field analysis. In view to the BepiColombo mission this work establishes a mathematical basis for the application of Capon's method to analyze Mercury's internal magnetic field in a robust and manageable way.