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high-precision satellite navigation. Cosmic Res. 53, 143–154 (2015)
3. Markov, Y.G., Mikhailov, M.V., Perepelkin, V.V., Pochukaev, V.N., Rozhkov, S.N., Semenov,
A.S.: Analysis of the effect of various disturbing factors on high-precision forecasts of
spacecraft orbits. Cosmic Res. 54, 155–163 (2016)
4. Petukhov, V.G.: Application of the angular independent variable and its regularizing transformation in the problems of optimizing low-thrust trajectories. Cosmic Res. 57, 351–363
(2019)
5. Ivanyukhin, A.V., Petukhov, V.G.: Low-energy sub-optimal low-thrust trajectories to libration
points and halo-orbits. Cosmic Res. 57, 378–388 (2019)
6. Starchenko, A.E.: Trajectory optimization of a low-thrust geostationary orbit insertion for total
ionizing dose decrease. Cosmic Res. 57, 289–300 (2019)
7. Bizouard, C., Remus, F., Lambert, S., Seoane, L., Gambis, D.: The Earth’s variable Chandler
wobble. Astron. Astrophys. 526, A106.1–A106.4 (2011)
8. Munk, W.H., MacDonald, G.J.F.: The rotation of the Earth. Cambridge University Press, New
York (1961)
9. Markov, Y.G., Perepelkin, V.V., Filippova, A.S.: Analysis of the perturbed Chandler wobble of
the Earth pole. Dokl. Phys. 62(6), 318–322 (2017)
10. Krylov, S.S., Perepelkin, V.V., Filippova, A.S.: Long-period lunar perturbations in Earth pole
oscillatory process: Theory and observations. In: Jain, L.C., Favorskaya, M.N., Nikitin, I.S.,
Reviznikov, D.L. (eds.) Advances in Theory and Practice of Computational Mechanics. SIST,
vol. 173, pp. 315–331. Springer, Singapore (2020)
11. Zlenko, A.A.: A celestial-mechanical model for the tidal evolution of the Earth-Moon system
treated as a double planet Astron. Rep. 59(1), 72–87 (2015)
12. Zlenko, A.A.: The perturbing potential and the torques in one three-body problem. J. Phys.
Conf. Ser. 1301, 012022.1–012022.12 (2019)
13. Akulenko, L.D., Markov, Y.G., Rykhlova, L.V.: Motion of the Earth’s poles under the action
of gravitational tides in the deformable-Earth model. Dokl. Phys. 46(4), 261–263 (2001)
14. Information System and Data Center for geoscientific data, https://isdc.gfz-potsdam.de, last
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15. Guochang, Xu.: Sciences of Geodesy—I: Advances and Future Directions. Springer, Berlin,
Heidelberg (2010)
16. Schubert, G.: Treatise on Geophysics, vol. 3. Elsevier, Geodesy (2007)
17. Kumakshev, S.A.: Gravitational-tidal model of oscillations of Earth’s poles. Mech. Solids 53(2),
159–163 (2018)
18. Kumakshev, S.A.: Model of oscillations of Earth’s poles based on gravitational tides. In:
Karev, V., Klimov, D., Pokazeev, K. (eds.) Physical and Mathematical Modeling of Earth
and Environment Processes. PMMEEP, 157–163 (2017)
19. Cowan, N.B., Agol, E., Meadows, V.S., Robinson, T., Livengood, T.A., Deming, D., Lisse,
C.M., A’Hearn, M.F., Wellnitz, D.D., Seager, S., Charbonneau, D.: Alien maps of an oceanbearing world. Astrophys. J. 700(2), 915–923 (2009)
20. Sidorenkov, N.S.: The interaction between Earth’s rotation and geophysical processes. WileyVCH Verlag GmbH and Co, KGaA (2009)
21. Sidorenkov, N.S.: Synchronization of terrestrial processes with frequencies of the Earth–Moon–
Sun system. AApTr 30(2), 249–260 (2017)
22. Sidorenkov, N.S.: The Chandler wobble of the poles and its amplitude. In: Proceedings of
the “Journees 2014 Systemes de reference spatio-temporels”, Pulkovo observatory, Russia,
pp. 195–197 (2014)
23. Sidorenkov, N.S.: Celestial mechanical causes of weather and climate change. Izv. Atmos.
Ocean. Phys. 52, 667–682 (2016)
24. Smart, W.M.: Celestial Mechanics. Longmans, Green (1953)
25. Perepelkin, V.V., Rykhlova, L.V., Filippova, A.S.: Long-period variations in oscillations of the
Earth’s pole due to lunar perturbations. Astron. Rep. 63(3), 238–247 (2019)
S. S. Krylov et al.
high-precision satellite navigation. Cosmic Res. 53, 143–154 (2015)
3. Markov, Y.G., Mikhailov, M.V., Perepelkin, V.V., Pochukaev, V.N., Rozhkov, S.N., Semenov,
A.S.: Analysis of the effect of various disturbing factors on high-precision forecasts of
spacecraft orbits. Cosmic Res. 54, 155–163 (2016)
4. Petukhov, V.G.: Application of the angular independent variable and its regularizing transformation in the problems of optimizing low-thrust trajectories. Cosmic Res. 57, 351–363
(2019)
5. Ivanyukhin, A.V., Petukhov, V.G.: Low-energy sub-optimal low-thrust trajectories to libration
points and halo-orbits. Cosmic Res. 57, 378–388 (2019)
6. Starchenko, A.E.: Trajectory optimization of a low-thrust geostationary orbit insertion for total
ionizing dose decrease. Cosmic Res. 57, 289–300 (2019)
7. Bizouard, C., Remus, F., Lambert, S., Seoane, L., Gambis, D.: The Earth’s variable Chandler
wobble. Astron. Astrophys. 526, A106.1–A106.4 (2011)
8. Munk, W.H., MacDonald, G.J.F.: The rotation of the Earth. Cambridge University Press, New
York (1961)
9. Markov, Y.G., Perepelkin, V.V., Filippova, A.S.: Analysis of the perturbed Chandler wobble of
the Earth pole. Dokl. Phys. 62(6), 318–322 (2017)
10. Krylov, S.S., Perepelkin, V.V., Filippova, A.S.: Long-period lunar perturbations in Earth pole
oscillatory process: Theory and observations. In: Jain, L.C., Favorskaya, M.N., Nikitin, I.S.,
Reviznikov, D.L. (eds.) Advances in Theory and Practice of Computational Mechanics. SIST,
vol. 173, pp. 315–331. Springer, Singapore (2020)
11. Zlenko, A.A.: A celestial-mechanical model for the tidal evolution of the Earth-Moon system
treated as a double planet Astron. Rep. 59(1), 72–87 (2015)
12. Zlenko, A.A.: The perturbing potential and the torques in one three-body problem. J. Phys.
Conf. Ser. 1301, 012022.1–012022.12 (2019)
13. Akulenko, L.D., Markov, Y.G., Rykhlova, L.V.: Motion of the Earth’s poles under the action
of gravitational tides in the deformable-Earth model. Dokl. Phys. 46(4), 261–263 (2001)
14. Information System and Data Center for geoscientific data, https://isdc.gfz-potsdam.de, last
accessed 2020/09/09.
15. Guochang, Xu.: Sciences of Geodesy—I: Advances and Future Directions. Springer, Berlin,
Heidelberg (2010)
16. Schubert, G.: Treatise on Geophysics, vol. 3. Elsevier, Geodesy (2007)
17. Kumakshev, S.A.: Gravitational-tidal model of oscillations of Earth’s poles. Mech. Solids 53(2),
159–163 (2018)
18. Kumakshev, S.A.: Model of oscillations of Earth’s poles based on gravitational tides. In:
Karev, V., Klimov, D., Pokazeev, K. (eds.) Physical and Mathematical Modeling of Earth
and Environment Processes. PMMEEP, 157–163 (2017)
19. Cowan, N.B., Agol, E., Meadows, V.S., Robinson, T., Livengood, T.A., Deming, D., Lisse,
C.M., A’Hearn, M.F., Wellnitz, D.D., Seager, S., Charbonneau, D.: Alien maps of an oceanbearing world. Astrophys. J. 700(2), 915–923 (2009)
20. Sidorenkov, N.S.: The interaction between Earth’s rotation and geophysical processes. WileyVCH Verlag GmbH and Co, KGaA (2009)
21. Sidorenkov, N.S.: Synchronization of terrestrial processes with frequencies of the Earth–Moon–
Sun system. AApTr 30(2), 249–260 (2017)
22. Sidorenkov, N.S.: The Chandler wobble of the poles and its amplitude. In: Proceedings of
the “Journees 2014 Systemes de reference spatio-temporels”, Pulkovo observatory, Russia,
pp. 195–197 (2014)
23. Sidorenkov, N.S.: Celestial mechanical causes of weather and climate change. Izv. Atmos.
Ocean. Phys. 52, 667–682 (2016)
24. Smart, W.M.: Celestial Mechanics. Longmans, Green (1953)
25. Perepelkin, V.V., Rykhlova, L.V., Filippova, A.S.: Long-period variations in oscillations of the
Earth’s pole due to lunar perturbations. Astron. Rep. 63(3), 238–247 (2019)