Construction of the new high-precision Moon rotation series at a long time intervals

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

Identyfikatory

DOI

10.2478/v10018-011-0013-3

• Języki publikacji: EN

Abstrakty

EN

The main purposes of this research are the construction of the new highprecision Moon Rotation Series (MRS2011), dynamically adequate to the DE404/LE404 and the DE406/LE406 ephemeris, over long time intervals. The comparison of the new highprecision Moon Rotation solutions of MRS2011 with the solution of MRS2010 (Pashkevich and Eroshkin, 2010), which is dynamically adequate to the DE200/LE200 ephemeris over 418.9 year time interval, is performed. The dynamics of the rotational motion of the Moon is studied numerically by using Rodrigues-Hamilton parameters over 418.9, 2000 and 6000 years. The numerical solution of the Moon rotation is implemented with the quadruple precision of the calculations. The results of the numerical solution of the problem are compared with the composite semi-analytical theory of the Moon rotation (SMR) (Pashkevich and Eroshkin, 2010) with respect to the fixed ecliptic of epoch J2000. The initial conditions of the numerical integration are taken from SMR. The investigation of the discrepancies is carried out by the least squares and spectral analysis methods for the Newtonian case. All the secular, periodic and Poisson terms, representing the behavior of the residuals, are interpreted as corrections to SMR semi-analytical theory. As a result, the Moon Rotation Series (MRS2011) is constructed, which is dynamically adequate to the DE404/LE404 and the DE406/LE406 ephemeris over 418.9, 2000 and 6000 years. A numerical solution for the Moon rotation is obtained anew with the new initial conditions calculated by means of MRS2011. The discrepancies between the new numerical solution and the semi-analytical solution of MRS2011 do not surpass 20 mas over 418.9 year time interval, 64 mas over 2000 year time interval and 8 arc seconds over 6000 year time interval. Thus, the result of the comparison demonstrates a good consistency of MRS2011 series with the DE/LE ephemeris.

Słowa kluczowe

EN

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

• Wydawca: Centrum Badań Kosmicznych PAN ; De Gruyter
• Czasopismo: Artificial Satellites : Journal of Planetary Geodesy
• Rocznik: 2011
• Tom: Vol. 46, No. 2
• Strony: 63--73
• Opis fizyczny: Bibliogr. 4 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.
• 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).
• Pashkevich V.V., Eroshkin G.I. (2010): Application of the spectral analysis for modeling the rotations of the Moon, Artificial Satellites, 45, 4, pp. 153-162.
• 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).