On Constructing Magnetic and Gravity Images of Mercury from Satellite Data

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Resumo

A new technique for simultaneous reconstruction of “gravity” and “magnetic” images of Mercury from satellite data based on the regional version of S-approximations is proposed. The mathematical statement of the inverse problem on finding the images of a planet from the data on the potential fields recorded at different times with different accuracy is reduced to solving ill-conditioned systems of linear algebraic equations (LAES) with approximate right-hand sides. Based on the analytical approximations of the Mercury’s magnetic and gravity fields determined from the solution of the ill-conditioned SLAE, the distributions of the equivalen sources on the spheres are determined. The results of the mathematical experiment on constructing the magnetic image of Mercury from the radial component of the magnetic induction vector analytically continued towards the field sources are presented.

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Sobre autores

I.  Stepanova

Schmidt Institute of Physics of the Erath, Russian Academy of Sciences

Autor responsável pela correspondência
Email: tet@ifz.ru
Rússia, Moscow

A.  Yagola

Moscow State University

Email: tet@ifz.ru
Rússia, Moscow

D.  Lukyanenko

Moscow State University

Email: tet@ifz.ru
Rússia, Moscow

I.  Kolotov

Moscow State University

Email: tet@ifz.ru
Rússia, Moscow

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2. Fig. 1. (a) - Bz-component of Mercury's magnetic field from Messenger mission data; (b) - map of isolines of Mercury's magnetic field near the surface plotted using regional S-approximations.

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3. Fig. 2. (a) - Schematic representation of the projections of the Messenger station trajectories on the Mercury equatorial plane; (b) - Schematic representation of the Messenger station trajectories as a surface in three-dimensional space.

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4. Fig. 3. Magnetic mass distribution found from the Mercury magnetic field analytically extended 50 km upward.

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5. Fig. 4. Magnetic mass distribution found from the Mercury magnetic field analytically extended 100 km upward.

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6. Fig. 5. Model gravitational field of Mercury.

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7. Fig. 6. Distribution of equivalent gravitational sources determined from the field at an altitude of 50 km from the Mercury surface.

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