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Терещенко, A. А.; Национальный авиационный университет, Киев (2015)
Publisher: Національний Авиаційний Університет
Languages: Ukrainian
Types: Article
Subjects:
A model of particle’s motion inside a triaxial inhomogeneous ellipsoid having a quadraticdensity distribution that decreases from center to the ellipsoid’s surface is examined. Precession (or inclinedrotation) of the ellipsoid is taken into account. Approximate analytical solutions that define the form of periodicalorbits are obtained. Рассмотрена модель движения частиц внутри трехосного неоднородного эллипсоида с квадратичным распределением плотности, убывающим от центра к периферии, с учетом прецессии (наклонного вращения) эллипсоида. Построены приближенные аналитические решения, описывающие форму периодических орбит. Розглянуто модель руху частинок всерединi тривiсного неоднорiдного елiпсоїда з квадратичним розподiлом густини, яка спадає вiд центру до периферiї, з врахуванням прецесiї (нахиленогообертання) елiпсоїда. Побудовано наближенi аналiтичнi розв’язки, якi описують форму перiодичних орбiт.
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