On the uniqueness of an inverse coefficient problem when building analytical models of Mercury’s magnetic field
- Authors: Stepanova I.E.1, Kolotov I.I.2, Lukuyanenko D.V.2, Shchepetilov A.V.2
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Affiliations:
- Sсhmidt Institute of Physics of the Earth of the Russian Academy of Sciences
- Moscow State Lomonosov University
- Issue: Vol 514, No 1 (2024)
- Pages: 181-188
- Section: ИССЛЕДОВАНИЕ ЗЕМЛИ ИЗ КОСМОСА
- URL: https://journals.rcsi.science/2686-7397/article/view/257923
- DOI: https://doi.org/10.31857/S2686739724010214
- ID: 257923
Cite item
Abstract
We consider the uniqueness conditions of the inverse coefficient problem arising in analytical models of Mercury’s magnetic field.
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About the authors
I. E. Stepanova
Sсhmidt Institute of Physics of the Earth of the Russian Academy of Sciences
Author for correspondence.
Email: tet@ifz.ru
Russian Federation, Moscow
I. I. Kolotov
Moscow State Lomonosov University
Email: tet@ifz.ru
Department of Physics
Russian Federation, MoscowD. V. Lukuyanenko
Moscow State Lomonosov University
Email: tet@ifz.ru
Department of Physics
Russian Federation, MoscowA. V. Shchepetilov
Moscow State Lomonosov University
Email: tet@ifz.ru
Department of Physics
Russian Federation, MoscowReferences
- Strakhov V.N., Stepanova I.E. Solution of gravity problems by the S-approximation method (regional version) // Izvestiya. Physics of the Solid Earth. 2002. V. 38. № 7. P. 535‒544.
- Stepanova I.E., Shchepetilov A.V., Mikhailov P.S., Analytical Models of the Physical Fields of the Earth in Regional Version with Ellipticity // Izvestiya. Physics of the Solid Earth. 2022. V. 58. No 3. P. 406‒419. doi: 10.1134/S1069351322030089
- Johnson C.L., et al. MESSENGER observations of Mercury's magnetic field structure // J. Geophys. Res. 2012. 117. E00L14. doi: 10.1029/2012JE004217.
- Ness N.F., Behannon K.W., Lepping R.P., Whang Y. C., Schatten K. H. Magnetic field observations near Mercury: Preliminary results from Mariner 10 // Science 1974. 185. 151– 160. doi: 10.1126/science.185.4146.151.
- Alexeev I.I., et al. Mercury's magnetospheric magnetic field after the first two MESSENGER flybys // Icarus. 2010. 209. 23– 39, doi: 10.1016/j.icarus.2010.01.024
- Anderson B.J., et al. The magnetic field of Mercury// Space Sci. Rev. 2010. 152. 307–339. doi: 10.1007/s11214-009-9544-3.
- Benkhoff J.J., van Casteren H., Hayakawa M., Fujimoto H., Laakso M., Novara P., Ferri H.R., Middleton, Ziethe R. BepiColombo—Comprehensive exploration of Mercury: Mission overview and science goals // Planet. Space Sci. 2010. 58. 2–20. doi: 10.1016/j.pss.2009.09.020.
- Kolotov I.I., Lukyanenko D.V., Stepanova I.E., Yanfei W., Yagola A.G. Recovering the Near-Surface Magnetic Image of Mercury from Satellite Observations// Remote Sens. 2023. 15(8). 2125; https://doi.org/10.3390/rs15082125
- Арнольд В.И.,.Хесин Б.А. Топологические методы в гидродинамике. М. Изд-во МЦНМО. 2007. 393 с.
- Лаврентьев М.А., Романов В.Г., Шишатский С.П. Некорректные задачи математической физики и анализа. Москва. Наука. 1980. 286 с.
- Гласко В.Б., Степанова И.Э. О единственности в одной из коэффициентных обратных задач, связанных с технологическими процессами // Вестник Моск. Университета. Сер. Физика. Астрономия. 1992. Т. 33. № 1. С. 20‒23.
- Михайлов В.П. Диффренциальные уравнения в частных производных. М. Наука. 1983. 391 с.
- Фридман А. Уравнения с частными производными параболического типа. М. Мир. 1968. 427 с.
- Toepfer S., Narita Y., Glassmeier K.H., et al. The Mie representation for Mercury’s magnetic field // Earth Planets Space .2021. 73. 65 . https://doi.org/10.1186/s40623-021-01386-4
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