HARAKAT TENGLAMALARINI LOKAL INTEGRALLARI YORDAMIDA INTEGRALLANISHI
##article.subject##:
yulduzlar dinamikasi, gravitasion potensial, harakat integrallari.##article.abstract##
Avvalgi ishimizda [1], yulduzlarning statsionar sistemalari uchun harakat tenglamalarining yechimi sifatida lokal integrallari mavjudligini ta’milovchi potensialni topgan edik. Bu yerda lokal integral tushunchasi D. Linden-Bell [2] ning integralidan farqli ravishda, ixtiyoriy berilgan maydon uchun yakka ajratilgan sirt sifatida V.A. Antonov [3] tomonidan kiritilgan. Lokal integral yordamida, haqiqiy integraldagi kabi, har doim ham traektoriyalarni kvadratura
orqali to‘liq aniqlashning iloji yo‘q. Biz ushbu ishda lokal integrallar bilan harakat traektoriyalarini qanday ifodalash mumkinligini universal usulini aniqladik. Misol tariqasida, [1] dan foydalanib harakat tenglamalarining integrallanish hollaridan birining natijasini fazoviy model uchun keltiramiz.
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