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References
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|
[1] |
Duboshin, G. N., “On Rotational Movement Of Artificial Celestial Bodies”, Bull. ITA AN SSSR, 7:7 (1960), 511–520 (Russian) |
[2] |
Kondurar, V. T., “Particular Solutions of the General Problem of the Translational-Rotational Motion of a Spheroid Attracted by a Sphere”, Sov. Astron., 3:5 (1960), 863–875 ; Astron. Zh., 36:5 (1959), 890–901 (Russian) |
[3] |
Beletsky, V. V., Motion of a Satellite about Its Center of Mass in the Gravitational Field, MGU, Moscow, 1975, 308 pp. (Russian) |
[4] |
Chernous'ko, F. L., “On the Stability of Regular Precession of a Satellite”, J. Appl. Math. Mech., 28:1 (1964), 181–184 ; Prikl. Mat. Mekh., 28:1 (1964), 155–157 (Russian) |
[5] |
Lyapunov, A. M., The General Problem of the Stability of Motion, Fracis & Taylor, London, 1992, x+270 pp. |
[6] |
Sokol'skiy, A. G. and Khovanskiy, S. A., “Periodic Motions Close to Hyperboloidal Precession of a Symmetric Satellite in Circular Orbit”, Kosmicheskie Issledovaniya, 17:2 (1979), 208–217 (Russian) |
[7] |
Markeev, A. P., Linear Hamiltonian Systems and Some Problems of Stability of the Satellite Center of Mass, R&C Dynamics, Institute of Computer Science, Izhevsk, 2009, 396 pp. (Russian) |
[8] |
Markeev, A. P. and Bardin, B. S., “On the Stability of Planar Oscillations and Rotations of a Satellite in a Circular Orbit”, Celest. Mech. Dynam. Astronom., 85:1 (2003), 51–66 |
[9] |
Bardin, B. S., “On Orbital Stability of Planar Motions of Symmetric Satellites in Cases of First and Second Order Resonances”, Proc. of the 6th Conference on Celestial Mechanics, The 6th Conference on Celestial Mechanics (Señorio de Bértiz, 2003), Monogr. Real Acad. Ci. Exact. Fís.-Quím. Nat. Zaragoza, 25, eds. J. Palacian, P. Yanguas, Real Acad. Ci. Exact. Fís.-Quím. Nat., Zaragoza, 2004, 59–70 |
[10] |
Markeyev, A. P., “Non-Linear Oscillations of a Hamiltonian System with $2:1$ Resonance”, J. Appl. Math. Mech., 63:5 (1999), 715–726 ; Prikl. Mat. Mekh., 63:5 (1999), 757–769 (Russian) |
[11] |
Bardin, B. S. and Chekin, A. M., “Non-Linear Oscillations of a Hamiltonian System in the Case of $3:1$ Resonance”, J. Appl. Math. Mech., 73:3 (2009), 249–258 ; Prikl. Mat. Mekh., 73:3 (2009), 353–367 (Russian) |
[12] |
Bardin, B. S., “On Nonlinear Motions of Hamiltonian System in Case of Fourth Order Resonance”, Regul. Chaotic Dyn., 12:1 (2007), 86–100 |
[13] |
Bardin, B. S., “On the Orbital Stability of Periodic Motions of a Hamiltonian System with Two Degrees of Freedom in the case of $3:1$ Resonance”, J. Appl. Math. Mech., 71:6 (2007), 880–891 ; Prikl. Mat. Mekh., 71:6 (2007), 976–988 (Russian) |
[14] |
Sukhov, E. A. and Bardin, B. S., “Numerical Analysis of Periodic Motions of a Dynamically Symmetric Satellite Originated from Its Hyperboloidal Precession”, Inzhenern. Zhurnal: Nauka i Innovatsii, 2016, no. 5(53), 10 pp. (Russian) |
[15] |
Sukhov, E. A. and Bardin, B. S., “On Periodic Motions Originating from Hyperboloidal Precession on a Symmetric Satellite”, Abstracts of the 13th All-Russian Conf. on Problems of Dynamics, Physics of Plasma Particles and Optoelectronics, The 13th All-Russian Conf. on Problems of Dynamics, Physics of Plasma Particles and Optoelectronics (Moscow, RUDN, 2017) |
[16] |
Sukhov, E. A. and Bardin, B. S., “Numerical and Analytical Plotting of Periodic Motion and Investigating Motion Stability in the Case of a Symmetric Satellite”, Inzhenern. Zhurnal: Nauka i Innovatsii, 2017, no. 11(71), 3 pp. (Russian) |
[17] |
Deprit, A. and Henrard, J., “Natural Families of Periodic Orbits”, Astron. J., 72:2 (1967), 158–172 |
[18] |
Karimov, S. R. and Sokolskiy, A. G., Method of Numerical Continuation of Natural Families of Periodic Motions of Hamiltonian Systems, Preprint No. 9, Institute of Theoretical Astronomy of the Academy of Sciences of the USSR, Moscow, 1990, 32 pp. |
[19] |
Sokolskiy, A. G. and Khovanskiy, S. A., “On Numerical Continuation of Periodic Motions of a Lagrangian System with Two Degrees of Freedom”, Kosmicheskie Issledovaniya, 21:6 (1983), 851–860 (Russian) |
[20] |
Lara, M., Deprit, A., and Elipe, A., “Numerical Continuation of Families of Frozen Orbits in the Zonal Problem of Artificial Satellite Theory”, Celestial Mech. Dynam. Astronom., 62:2 (1995), 167–181 |
[21] |
Lara, M. and Peláez, J., “On the Numerical Continuation of Periodic Orbits: An Intrinsic, $3$-Dimentional, Differential, Predictor-Corrector Algorithm”, Astron. Astrophys., 389:2 (2002), 692–701 |
[22] |
Sukhov, E. A. and Bardin, B. S., “On the Algorithm for Numerical Computation of Periodic Motions of a Hamiltonian System with Two Degrees of Freedom”, Abstracts of the 14th All-Russian Conf. on Problems of Dynamics, Physics of Plasma Particles and Optoelectronics, The 14th All-Russian Conf. on Problems of Dynamics, Physics of Plasma Particles and Optoelectronics (Moscow, RUDN, 2018) |
[23] |
Sukhov, E. A., “Analytical and Numerical Computation and Study of Long-Periodic Motions Originating from Hyperboloidal Precession of a Symmetric Satellite”, Proc. of hte 8th Polyahov Readings, The 8th Polyahov Readings (St. Petersburg, St. Petersburg State University, 2018) |
[24] |
Schmidt, D. S., “Periodic Solutions near a Resonant Equilibrium of a Hamiltonian System”, Celestial Mech., 9 (1974), 81–103 |