Abstract: We consider the generalized (rotational and oscillatory) odd 2π-periodic solutions to the equation of oscillations of a satellite in a plane of its elliptic orbit. We introduce a classification of the families of such solutions. The complete qualitative description of the set of generalized 2π-periodic solutions is given with all values of eccentricity e and inertial parameter μ including the limit values |e|=1 and |μ|=∞. The results are represented as graphs of the characteristics of the families in a new global coordinate system.Note: Research direction:Theoretical and applied problems of mechanic
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Abstract: We consider an axially symmetric satellite with a large inner angular momentum (...
Abstract: We consider the plane circular restricted three-body problem. It is described by...
The restricted problem of three bodies is of fundamental importance in mechanics, with significant a...
Abstract: We consider the ordinary differential equation of the second order describing os...
Abstract: We give a survey of achievements in the study of planar periodic oscillations an...
Abstract: We consider the ordinary differential equation of the second order describing os...
Abstract: We consider an averaged equation of oscillations of an almost symmetric satellit...
Abstract: We consider the satellite, which is an axially symmetric rigid body. The motion ...
Abstract: Periodic solutions of Hill's problem play an important role in understanding the...
Abstract: We suggest a new method of localization of degeneracies in families of periodic ...
Periodicity of motion around the collinear libration point associated with the Elliptic Restricted T...
Abstract: Some generalization of the well-known celestial mechanics problem is considered....
2016-03-17In this dissertation, the complete dynamics of a spacecraft in a general orbit is studied....
AbstractA new stability criterion is proved for second-order differential equations with symmetries ...
Abstract: We consider the ordinary differential equation of the second order describing...
Abstract: We consider an axially symmetric satellite with a large inner angular momentum (...
Abstract: We consider the plane circular restricted three-body problem. It is described by...
The restricted problem of three bodies is of fundamental importance in mechanics, with significant a...