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Expansion of a function given over an equipotential surface into spherical harmonics

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Выво¶rt;яmся формулы ¶rt;ля вычuсленuя

aрмонuческuх коэффuцuенmов в рaзложенuu функцuu, зa¶rt;aнноŭ нa уровенноŭ nоверхносmu

еоnоmенцuaлa, в ря¶rt; nо сферuческuм функцuям. Покaзaно, чmо обычное сферuческое решенuе со¶rt;ержum nо

решносmu, соuзмерuмые с nоря¶rt;ком Сmоксовых nосmоянных, еслu рaзлa

aемaя функцuя вызвaнa mем же

еоnоmенцuaлом.

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Burša, M. Expansion of a function given over an equipotential surface into spherical harmonics. Stud Geophys Geod 21, 217–227 (1977). https://doi.org/10.1007/BF01613248

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  • DOI: https://doi.org/10.1007/BF01613248

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