
This article is cited in 4 scientific papers (total in 4 papers)
Coplanar libration points of the generalized restricted circular problem of three bodies for conjugate complex masses of attracting centers
Alexander V. Rodnikov^{} ^{} Bauman Moscow State Technical University,
2nd Baumanskaya st. 5, Moscow, 105005, Russia
Abstract:
A particle relative equilibria near a rigid body in the plane passing through the body axes of precession and of dynamical symmetry are studied in assumption that the body gravitational field can be composed as gravitational field of two conjugate complex masses being on imaginary distance. Using terminology of the Generalized Restricted Circular Problem of Three Bodies, these equilibria are called Coplanar Libration Points (CLP). One can show that CLP set is divided into three subsets dependently on CLPs type of evolution. There are 2 “external” CLPs going from infinity to the rigid body if precession angular velocity goes from zero to infinity, from 2 to 6 “internal” CLPs between axis of precession and axis of dynamical symmetry, and from 0 to 3 “central” CLPs near singular points of gravitational potential. Numericalanalitical algorithm of CLPs coordinates computation is suggested. This algorithm is based on some special trigonometrical transformations of coordinates and parameters.
Keywords:
problem of three bodies, libration points, relative equilibrium, rigid body, regular precession.
Full text:
PDF file (369 kB)
References:
PDF file
HTML file
UDC:
531.36:521.1
MSC: 70K20, 70K42 Received: 23.11.2013 Revised: 12.12.2013
Citation:
Alexander V. Rodnikov, “Coplanar libration points of the generalized restricted circular problem of three bodies for conjugate complex masses of attracting centers”, Nelin. Dinam., 9:4 (2013), 697–710
Citation in format AMSBIB
\Bibitem{Rod13}
\by Alexander~V.~Rodnikov
\paper Coplanar libration points of the generalized restricted circular problem of three bodies for conjugate complex masses of attracting centers
\jour Nelin. Dinam.
\yr 2013
\vol 9
\issue 4
\pages 697710
\mathnet{http://mi.mathnet.ru/nd415}
Linking options:
http://mi.mathnet.ru/eng/nd415 http://mi.mathnet.ru/eng/nd/v9/i4/p697
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:

A. V. Rodnikov, “Treugolnye tochki libratsii obobschennoi ogranichennoi krugovoi zadachi trekh tel v sluchae kompleksnosopryazhennykh mass prityagivayuschikh tsentrov”, Nelineinaya dinam., 10:2 (2014), 213–222

A. V. Rodnikov, “Modelirovanie dinamiki kosmicheskoi stantsii v okrestnosti asteroida”, Mat. modelir. i chisl. metody, 2016, no. 10, 55–68

D. V. Balandin, V. I. Nikonov, “Vibration points of rotating “compexified” triangle”, Moscow University Mechanics Bulletin, 71:3 (2016), 51–57

A. V. Rodnikov, “On safe configurations of a naturalartificial space tether system”, Eighth Polyakhov's Reading, AIP Conf. Proc., 1959, ed. E. Kustova, G. Leonov, N. Morosov, M. Yushkov, M. Mekhonoshina, Amer. Inst. Phys., 2018, UNSP 040018

Number of views: 
This page:  125  Full text:  41  References:  23  First page:  1 
