Dipole localization in Moon rocks from sparse magnetic data

Sylvain Chevillard (1, 2) , Juliette Leblond (1, 2) , Konstantinos Mavreas (1, 2)

1 COMUE UCA - COMUE Université Côte d'Azur (2015-2019)
2 APICS - Analysis and Problems of Inverse type in Control and Signal processing

We consider dipole recovery issues from sparse magnetic data, with the use of best quadratic rational approximation techniques, together with geometrical and algebraic properties of the poles of the approximants.

Mots clés: Lunar Paleomagnetism; Magnetic dipole; Localization methods; Inverse problem; Maxwell Equations; Magnetization estimation

Domaines: Variables complexes [math.CV]; Mathématiques générales [math.GM]; Electromagnétisme; Planétologie et astrophysique de la terre [astro-ph.EP]; Traitement du signal et de l'image [eess.SP]; Optimisation et contrôle [math.OC]

Sylvain Chevillard, Juliette Leblond, Konstantinos Mavreas. Dipole localization in Moon rocks from sparse magnetic data. TAMTAM2017 - Tendances des Applications Mathématiques en Tunisie, Algérie, Maroc, May 2017, Hammamet, Tunisia. ⟨hal-01526948⟩