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A new technique for joint inversion of the satellite data on Mercury’s gravity and magnetic fields based on the regional version of the S-approximation method is proposed. The mathematical setting of the inverse problem is reduced to solving a bad conditioned linear algebraic equation system (LAES) with different right-hand sides. The “gravity” and “magnetic” images of the planet are built from the solutions to LAES and also the distributions of equivalent sources are found.
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