Application of the spectral analysis for modeling the rotations of the Moon

• Autorzy: Pashkevich V. V. , Eroshkin G. I.

Identyfikatory

DOI

10.2478/v10018-011-0004-4

• Języki publikacji: EN

Abstrakty

EN

The main purposes of this research are the development of the optimal spectral analysis schemes for the investigation of the rotational motion of the Moon and then the comparison between the result of the optimal spectral analysis of the rotational motions of the Earth and the Moon. Dynamics of the rotational motion of the Moon is studied numerically by using Rodrigues-Hamilton parameters over 418.9 year time interval. The results of the numerical solution of the problem are compared with the composite semi-analytical theory of the Moon rotation (SMR) represented by Cassini relations and the semi-analytical solutions of the lunar physical libration problem (Eckhardt, 1981), (Moons, 1982), (Moons, 1984), (Pešek, 1982). The initial conditions of the numerical integration are taken from SMR. The investigation of the discrepancies is carried out by the optimal spectral analysis methods for the Newtonian case. All the periodic terms representing the behavior of the residuals are interpreted as corrections to SMR semi-analytical theory. As a result, the Moon Rotation Series (MRS2010) is constructed, which is dynamically adequate to the DE200/LE200 ephemeris over 418.9 year time interval. A numerical solution for the Moon rotation is obtained anew with the new initial conditions calculated by means of MRS2010. The discrepancies between the new numerical solution and MRS2010 do not surpass 20 mas over 418.9 year time interval. The result of the comparison demonstrates that MRS2010 series represent more accurately the Moon rotation than SMR series.

Słowa kluczowe

EN

rotation of Moon; ephemeris; least-squares method; spectral analysis

• Wydawca: Centrum Badań Kosmicznych PAN ; De Gruyter
• Czasopismo: Artificial Satellites : Journal of Planetary Geodesy
• Rocznik: 2010
• Tom: Vol. 45, No. 4
• Strony: 153--162
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Pashkevich V. V.

• Central (Pulkovo) Astronomical Observatory of RAS Pulkovskoe shosse, 65/1, 196140, St.Petersburg, Russia

autor

Eroshkin G. I.

• Central (Pulkovo) Astronomical Observatory of RAS Pulkovskoe shosse, 65/1, 196140, St.Petersburg, Russia

Bibliografia

• Belikov M.V. (1990): Methods of numerical integration with uniform and mean square approximation for solving problems of ephemeris astronomy and satellite geodesy, Manus. Geod., 15, No4, pp.182-200.
• Bretagnon P., Francou G., Rocher P., Simon J.L. (1998): SMART97: A new solution for the rotation of the rigid Earth, A&A 329, pp. 329-338.
• Eckhardt D.H. (1981): Theory of Libration of the Moon, The Moon and the planets, 25, pp.3-49.
• Eroshkin G.I., Taibatorov K.A., Trubitsina A.A. (1993): Constructing the specialized numerical ephemerides of the Moon and the Sun for solving the problems of the Earth's artificial satellite dynamics, ITA RAS, Preprint No 31, (in Russian).
• Eroshkin G.I., Pashkevich V.V. (1997): Numerical Simulation of the Rotational Motion of the Earth and Moon, Dynamics and Astrometry of Natural and Artificial Celestial Bodies, IAU Colloquium 165 (I.M.Wytrzyszczak, J.H.Lieske, R.A.Feldman, eds), Kluwer, Dordrecht, pp.275-280.
• Moons M. (1982): Physical Libration of the Moon, Celest. Mech., 26, pp.131-142.
• Moons M. (1984): Planetary Perturbations on the Libration of the Moon, Celest. Mech., 34, pp.263-273.
• Pashkevich V.V., Eroshkin G.I. (2005): Choice of the optimal spectral analysis scheme for the investigation of the Earth rotation problem, in Proc. of Journees 2005: Earth dynamics and reference systems: five years after the adoption of the IAU 2000 Resolutions (Space Research Centre of Polish Academy of Sciences, Warsaw, Poland, 19-21 September 2005), pp. 105-109.
• Pešek I. (1982): An Effect of the Earth's Flattening on the Rotation of the Moon, Bull. Astron. Inst. Czechosl., 33, pp.176-179.
• Newhall X X and Williams J.G. (1997): Estimation of the lunar physical librations, Celestial Mechanics and Dynamical Astronomy 66, pp. 21-30.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).