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        Luk'yanov, L. G.; Shirmin, G. I.(2007). Sundman surfaces and Hill stability in the three-body problem. Astronomy Letters, Volume 33, Issue 8, pp.550-561

        Lukyanov, L. G.; Emeljanov, N. V.; Shirmin, G. I. (2005). Generalized Problem of Two Fixed Centers or the Darboux-Gredeaks Problem. Cosmic Research, Volume 43, Issue 3, pp.186-191

        Luk'yanov, L. G.; Nasonova, L. P.; Shirmin, G. I. (2003). The Lagrange-Jacobi Equation in the Finite-Size Many-Body Problem. Astronomy Letters, vol. 29, p. 635-639.

        Luk'yanov, L. G.; Nasonova, L. P.; Shirmin, G. I. (2003). Hill Stability in the Many-Body Problem. Astronomy Letters, vol. 29, p. 274-277 (2003)

        Luk'yanov, L. G.; Shirmin, G. I. (2002). On the Hill Stability in the General Problem of Three Finite Bodies. Astronomy Letters, Volume 28, Issue 6, June 2000, pp. 419-422

        Luk'yanov, L. G.; Shirmin, G. I. (2001). Surfaces of Zero Kinetic Energy in a General Three-Body Problem. Astronomy Letters, Volume 27, Issue 12, December 2001, pp.816-819

        Shirmin, G. I. (1991). On the Lehmann-Filhés theorem as a consequence of one theorem of Ostrogradsky. Tr. Gos. Astron. Inst. im. Sternberga, Tom 62, p. 40 - 65

        Shirmin, G. I. (1990). On the application of the classical problem of two fixed centers to stellar dynamics. Problems of celestial mechanics and stellar dynamics, p. 49 - 53

        Shirmin, G. I. (1989). Certain applications of the problem of two fixed centers in stellar dynamics. Moskovskii Universitet, Vestnik, Seriia 3 - Fizika, Astronomiia (ISSN 0579-9392), vol. 30, Mar.-Apr. 1989, p. 74-79. In Russian.

        Shirmin, G. I. (1989). Three-dimensional motions of parabolic type in the classical problem of two fixed centers. Tr. Gos. Astron. Inst. im. Sternberga, Tom 61, p. 106 - 140

        Suchkin, G. L.; Tokarev, Yu. V.; Lukianov, L. G.; Shirmin, G. I. (1986). Lagrangian points in the problem of the search for extraterrestrial civilizations. IN: Problem of the search for life in the universe (A87-35726 15-88). Moscow, Izdatel'stvo Nauka, 1986, p. 138-144. In Russian.

        Shirmin, G. I. (1984). The Influence of Secular Perturbations of the Gravitational Nature on the Stability of Co-Linear Libration Points of the Circular Restricted Three-Body Problem. Trudy Gosudarstvennogo Astronomicheskogo Instituta P.K. Sternberga, Vol. 56, P. 38, 1984

        Lukianov, L. G.; Suchkin, G. L.; Shirmin, G. I. (1983). Calculation of ephemerides for libration points. (Astronomicheskii Vestnik, vol. 16, July-Sept. 1982, p. 183-189.) Solar System Research, vol. 16, no. 3, Jan. 1983, p. 147-152. Translation.

        Shirmin, G. I. (1983). On the Impossibility of Stabilization of Collinear Libration Points by Secular Perturbations of Gravitational Nature. Astronomicheskii Tsirkulyar NO.1257, 1983

        Shirmin, G. I. (1980). Particular solutions of a problem resulting from Huang's model by averaging according to Fatou's scheme. Moskovskii Universitet, Vestnik, Seriia III - Fizika, Astronomiia, vol. 21, July-Aug. 1980, p. 60-66. In Russian.

        Shirmin, G. I. (1980). On a New Model Problem Suggested by Kochiev, A.A. and its Connection with Certain Problems of Celestial Mechanics. Soviet Astronomy, Vol. 24, P. 239.

        Shirmin, G. I. 91980). On a 'new' model problem suggested by A. A. Kochiev and its connection with certain problems of celestial mechanics. (Astronomicheskii Zhurnal, vol. 57, Mar.-Apr. 1980, p. 418-426.) Soviet Astronomy, vol. 24, Mar.-Apr. 1980, p. 239-243. Translation.

        Shirmin, G. I. (1976). Three-dimensional periodic solutions near the collinear libration points of the system earth-moon. Soobshch. Gos. Astron. Inst. Sternberg, No. 194, p. 29 - 59.

        Shirmin, G. I. (1975). Study of the stability of periodic motions in the vicinity of collinear libration points. Celestial Mechanics, vol. 11, June 1975, p. 483-515. In Russian.

        Shirmin, G. I. (1974). On the Algorithm for Constructing Periodic Solutions of A System of Ordinary Differential Equations not Reduced to The Characteristic form of Liapounov's System. Celestial Mechanics, Volume 10, Issue 2, pp.151-164

        Shirmin, G. I. (1974). About Regions of Convergence of Expansions of Differential Equations of the Three-Dimensional Restricted Three-Body Problem in the Vicinity of Collinear Libration Points. Celestial Mechanics, Volume 9, Issue 2, pp.183-190

        Shirmin, G. I. (1974). O razlozheniiakh funktsii IAkobi prostranstvennoi zadachi trekh tel v stepennye piady v okrestnosti kollinearnykh tochek libratsii. Trudy Gosudarstvennogo astronomicheskogo instituta im. P.K. Sternberga ; t. 45, Moskva : Izd. moskovskogo universiteta, 1974., p. 154-[178]) ; 26 cm.