Preprints
https://doi.org/10.5194/egusphere-2024-1330
https://doi.org/10.5194/egusphere-2024-1330
17 May 2024
 | 17 May 2024
Status: this preprint is open for discussion.

Quadratic Magnetic Gradients from 7-SC and 9-SC Constellations

Chao Shen, Gang Zeng, and Rungployphan Kieokaew

Abstract. To reveal the dynamics of magnetised plasma, it is essential to know the geometrical structure of the magnetic field, which is closely related to its linear and quadratic gradients. Estimation of the linear magnetic gradient requires at least four magnetic measurements, whereas calculation of the quadratic gradients of the magnetic field generally requires at least ten. This study is therefore aimed at yielding linear and quadratic gradients of the magnetic field based on magnetic measurements from nine-spacecraft HelioSwarm or seven-spacecraft Plasma Observatory constellations. Time-series magnetic measurements and transfer relationships between different reference frames were used to yield the apparent velocity of the magnetic structure as well as the components of the quadratic magnetic gradient along the direction of motion, while simultaneously elucidating the linear gradient and remaining components of the quadratic magnetic gradient using the least-squares method. Calculation via several iterations was applied to achieve satisfactory accuracy. The tests for the situations of magnetic flux ropes and dipole magnetic field have verifies the validity and accuracy of this approach. The results suggest that using time-series magnetic measurements from constellations comprising at least seven spacecraft and nonplanar configurations can yield linear and quadratic gradients of the magnetic field.

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Chao Shen, Gang Zeng, and Rungployphan Kieokaew

Status: open (until 28 Jun 2024)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on egusphere-2024-1330', Johan De Keyser, 28 May 2024 reply
  • RC2: 'Comment on egusphere-2024-1330', Anonymous Referee #2, 12 Jun 2024 reply
Chao Shen, Gang Zeng, and Rungployphan Kieokaew
Chao Shen, Gang Zeng, and Rungployphan Kieokaew

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Short summary
The coming 7 spacecraft Plasma Observatory and 9 spacecraft HelioSwarm will achieve 7–9 point magnetic measurements. In this study, a new algorithm is generated to calculate the linear and quadratic magnetic gradients from 7–9 point magnetic measurements so as to obtain the complete geometry of the magnetic structures observed. The tests have verified the feasibility of the method. The algorithm can thus be applied to the analysis of magnetic field data from Plasma Observatory and HelioSwarm.