New High-Precision Values of the Geodetic Rotation of the Mars Satellites System, Major Planets, Pluto, the Moon and the Sun

Pashkevich, V.V.; Vershkov, A.N.

doi:10.2478/arsa-2019-0004

Abstract

In this study the relativistic effects (the geodetic precession and the geodetic nutation, which consist of the effect of the geodetic rotation) in the rotation of Mars satellites system for the first time were computed and the improved geodetic rotation of the Solar system bodies were investigated. The most essential terms of the geodetic rotation were computed by the algorithm of Pashkevich (2016), which is applicable to the study of any bodies of the Solar system that have long-time ephemeris. As a result, in the perturbing terms of the physical librations and Euler angles for Mars satellites (Phobos and Deimos) as well as in the perturbing terms of the physical librations for the Moon and Euler angles for major planets, Pluto and the Sun the most significant systematic and periodic terms of the geodetic rotation were calculated. In this research the additional periodic terms of the geodetic rotation for major planets, Pluto and the Moon were calculated.

References

Pashkevich V.V. (2016) New high-precision values of the geodetic rotation of the major planets, Pluto, the Moon and the Sun, Artificial Satellites, Warszawa, Vol. 51, No. 2 (DOI: 10.1515/arsa-2016-0006),pp. 61-73.10.1515/arsa-2016-0006),pp.61-73
Open DOI Search in Google Scholar Back to article
De Sitter W. (1916) On Einstein’s Theory of Gravitation and its Astronomical Consequences, Mon. Not. R. Astron. Soc., No. 77, pp. 155–184.10.1093/mnras/77.2.155
Search in Google Scholar Back to article
Fukushima T. (1991) Geodesic Nutation, Astronomy and Astrophysics, 244, No.1, pp. L11–L12.
Search in Google Scholar Back to article
Folkner W.F. (2011) JPL Planetary and Lunar Ephemerides: Export Information http://iaucomm4.jpl.nasa.gov/README.html.
Search in Google Scholar Back to article
Folkner W.F., Williams J.G., Boggs D.H., Park R.S., and Kuchynka P. (2014) The Planetary and Lunar Ephemerides DE430 and DE431, IPN Progress Report 42-196, February 15, 2014.
Search in Google Scholar Back to article
Kopeikin S. Efroimsky M. and Kaplan G. (2011) Relativistic Celestial Mechanics in the Solar System, Hoboken, NJ : John Wiley & Sons., pp. 1–894.10.1002/9783527634569
Search in Google Scholar Back to article
Archinal B.A., Acton C.H., A’Hearn M.F. et al. (2018) Report of the IAU Working Group on Cartographic Coordinates and Rotational Elements: 2015, Celest Mech Dyn Astr. 130:22. https://doi.org/10.1007/s10569-017-9805-5. pp. 21–46.10.1007/s10569-017-9805-5.pp.2146
Open DOI Search in Google Scholar Back to article
Smart W.M. (1953) Celestial Mechanics, Longmans, Green and Co, London-New York-Toronto.
Search in Google Scholar Back to article
Seidelmann P.K., Archinal B.A., A’Heam M.F., Cruikshank D.P., Hil-ton J.L., Keller H.U., Oberst J., Simon J.L., Stooke P., Tholen D.J., and Thomas P.C. (2005) Report of the IAU/IAG Working Group on Cartographic Coordinates and Rotational Elements: 2003, Celestial Mechanics and Dynamical Astronomy, 91,pp.203–215.10.1007/s10569-004-3115-4
Search in Google Scholar Back to article
Giorgini J.D., Chodas P.W., Yeomans D.K. (2001) Orbit Uncertainty and Close-Approach Analysis Capabilities of the Horizons On-Line Ephemeris System, 33rd AAS/DPS meeting in New Orleans. LA. Nov 26. 2001–Dec 01. 2001.
Search in Google Scholar Back to article
Brumberg V.A. (1972) Relativistic Celestial Mechanics, Moscow (in Russian).
Search in Google Scholar Back to article
Eroshkin G.I., Pashkevich V.V. (2009) On the geodetic rotation of the major planets, the Moon and the Sun, Artificial Satellites, Vol. 44, No. 2, pp 43–52.10.2478/v10018-009-0018-3
Search in Google Scholar Back to article
Brumberg V.A., Bretagnon P. (2000) Kinematical Relativistic Corrections for Earth’s Rotation Parameters, in Proc. of IAU Colloquium 180, eds. K. Johnston, D. McCarthy, B. Luzum and G. Kaplan, U.S. Naval Observatory, pp. 293-302.10.1017/S0252921100000427
Search in Google Scholar Back to article
Eroshkin G.I., Pashkevich V.V. (2007) Geodetic rotation of the Solar system bodies, Artificial Satellites, Vol. 42, No. 1, pp. 59–70.10.2478/v10018-007-0017-1
Search in Google Scholar Back to article

New High-Precision Values of the Geodetic Rotation of the Mars Satellites System, Major Planets, Pluto, the Moon and the Sun

Abstract

Paradigm

My account