Matematicheskoe modelirovanie dinamiki iskusstvennykh sputnikov Zemli (ISZ), vzaimodeystvuyushchikh s magnitnym polem Zemli (MPZ), trebuet predvaritel"nogo resheniya problemy modelirovaniya samogo MPZ, otlichayushchegosya slozhnoy strukturoy i otsutstviem v konechnom vide zavisimosti magnitnoy induktsii ot koordinat okolozemnogo prostranstva. Analizu etoy problemy i posvyashchena dannaya monografiya, predlagayushchaya na baze tenzornogo modelirovaniya metodiku analiticheskogo postroeniya potentsiala, induktsii i gradienta induktsii MPZ i posleduyushchego vybora podkhodyashchey modeli MPZ dlya uspeshnogo analiticheskogo i/ili chislennogo issledovaniya zadach dinamiki ISZ. Naryadu s obosnovaniem vozmozhnosti tenzornogo podkhoda k mul"tipol"nomu modelirovaniyu MPZ, otlichayushchemusya kratkost"yu zapisi i udobstvom ispol"zovaniya v sistemakh komp"yuternoy algebry, rabota soderzhit gotovye algoritmy i programmy. Poluchennye rezul"taty v ravnoy mere mogut byt" primeneny k opisaniyu gravitatsionnogo polya Zemli a takzhe gravitatsionnykh i magnitnykh poley drugikh planet. Poetomu monografiya prednaznachena ne tol"ko dlya chitateley, svyazannykh s issledovaniem dinamiki ISZ, no i dlya vsekh, interesuyushchikhsya matematicheskim modelirovaniem planetnykh fizicheskikh poley.