ПИСЬМА В АСТРОНОМИЧЕСКИЙ ЖУРНАЛ, 2020, том 46, № 4, с. 304

Generalized Elliptic Restricted Four-Body Problem with Variable Mass¹

¹International Center for Advanced Interdisciplinary Research (ICAIR), Sangam Vihar,New Delhi, India

²Department of Mathematics Acharya Narendra Dev College, University of Delhi, Delhi, India

Поступила в редакцию 18.03.2020 г.

После доработки 18.03.2020 г.; принята к публикации 24.03.2020 г.

The elliptic case of restricted four-body problem with variable mass of infinitesimal body is studied here.

The three primary bodies which are placed at the vertices of an equilateral triangle and moving in the

elliptical orbits around their common center of mass. Out of these primaries we have considered that one

massive body is having radiating effect and other two bodies are oblate in shapes. The fourth body which

have infinitesimal mass, are varying its mass according to Jeans law. We derive the equations of motion

of the infinitesimal body under the generalized sense in the elliptic restricted four-body problem by using

the Meshcherskii-space time transformations. Further we numerically study about the equilibrium points,

Poincar `e surfaces of section, regions of possible motion and basins of the attracting domain by considering

the variation of parameters used. Further more we examine the stability of these equilibrium points and

found them unstable.

Keywords: elliptical orbit, variable mass, oblate, regions of motion, attracting domain.

DOI: 10.31857/S0320010820040014

¹Полностью текст статьи публикуется в английской версии журнала (Astronomy Letters V. 46, No. 4, 2020).

*E-mail: icairndin@gmail.com

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