Полярные геомагнитные возмущения и связанные с ними явления : материалы международного симпозиума «Полярные геомагнитные явления», 25-31 мая 1986 г., Суздаль / Междунар. геодез. и геофиз. союз, междунар. ассоциация геомагнетизма и аэрономии, АН СССР, КНЦ, ПГИ. – Апатиты : [б. и.], 1989. – 126 с.

3 * - - м we derive j H( z ) к t 0 (z) k5) bO She altitude ecale H i n (5) is determined as: кT . U ) H(Z) я ---------------- ) m{z) q (z) where К ia the B o l t z m a n cosntant. We consider heights fr o m 120 to 700 k m and presume H m =max H(s)=H(700). Let the oharaoteristio wave scale be L. We will consider waves, long relatively to height, i.e. Hm /L= £<< 1, The O x coordinate axis is directed along the wave veotor. We use the asymptotic expansion for parameters using the small parameter I t P “Pe + bp1 ♦ fc*p2 + - '« P “Po + £Pl *• E2Pl +--> и « e u 1 + е г и2 + w - е г w, + t z w 2 + , ( 6 ) where u an d w are the x and a-oomponente of the speed. After we put the e x p ansion into equation (4) an d equalize the terms of the same or d e r to £ , wo get the following problem for the first asymptotic ap p r o a c h to t t •Ц1 ♦ W 1 po ’* РоФ + ТГГ-) * 0 ' r°at T5x ’-ir 4 ' dx d z in wh i c h C s me a n s the average ieoentropic sound speed and C* - r q ( z ) H'l't). We are looking f o r a solution of (7) presented as: p, - p * A ($ , * ) , p , = p* A [$., r ) , U, - u j A ( { , t ) , w 1 - w ® ЭА/ 3 $ , £ •* k x - W t i * £t , wnere к and to are real-wave number al o n g x and frequency and amplitude functions depend only on the height z. Substituting (8) into (7) we get for the polarization relation: .2 p' - 4 f b r ( w - -cqr ? > • p . » - - » ? - and equation f o r determining _d_.r р 0 с | с г d w f 1 f d Po p0 q i d / p 0 qc8 N The wave v e l o c i t y along Ox is с- w /к and d/dz = (...). A c o ndition for v a n ishing of the vertical component of the v e l o o i t y ia taken for the lo w e r b o u n d a r y z » 1 20 km and,a condition f o r v a nishing of the kinetic energy - at the upper boundary at z=700 km, i.e. w® ■ 0 z - 120km, o* w® - gw* - 0 z = 700 km. (11) 100