Relativistic effects in the rotation of dwarf planets and asteroids

• Autorzy: Pashkevich Vladimir V. , Vershkov Andrey N.

Identyfikatory

DOI

10.2478/arsa-2022-0008

• Języki publikacji: EN

Abstrakty

EN

The effect of the geodetic rotation (which includes two relativistic effects: geodetic precession and geodetic nutation) is the most significant relativistic effect in the rotation of the celestial bodies. For the first time in this research, this relativistic effect is determined in the rotation of dwarf planets (Ceres, Pluto, and Charon) and asteroids (Pallas, Vesta, Lutetia, Europa, Ida, Eros, Davida, Gaspra, Steins, and Itokawa) in the Solar System with known values of their rotation parameters. Calculations of the values of their geodetic rotation are made by a method for studying any bodies in the Solar System with a long-term ephemeris. Values of geodetic precession and geodetic nutation for all these celestial bodies were calculated in ecliptic Euler angles relative to their proper coordinate systems and in their rotational elements relative to the fixed equator of the Earth and the vernal equinox (at the epoch J2000.0). The obtained analytical values of the geodetic rotation for the celestial bodies can be used to numerically investigate their rotation in the relativistic approximation, and also used to estimate the influence of relativistic effects on the orbital–rotational dynamics for the bodies of exoplanetary systems.

Słowa kluczowe

EN

relativistic effects; geodetic rotation; Solar System bodies; rotation of dwarf planets; rotation of dwarf asteroids; exoplanetary systems bodies

• Wydawca: Centrum Badań Kosmicznych PAN ; De Gruyter
• Czasopismo: Artificial Satellites : Journal of Planetary Geodesy
• Rocznik: 2022
• Tom: Vol. 57, No. 3
• Strony: 158--184
• Opis fizyczny: Bibliogr. 18 poz., rys., tab.

Twórcy

autor

Pashkevich Vladimir V.

• Central (Pulkovo) Astronomical Observatory of RAS, St. Petersburg, Russia

autor

Vershkov Andrey N.

• Central (Pulkovo) Astronomical Observatory of RAS, St. Petersburg, Russia

Bibliografia

• Archinal B.A., Acton C.H., A’Hearn M.F., Conrad A., Consolmagno G.J., Duxbury T., Hestroffer D., Hilton J. L., Kirk R. L., Klioner S. A., McCarthy D., Meech K., Oberst J., Ping J., Seidelmann P. K., Tholen D. J., Thomas P. C., Williams I. P. (2018) Report of the IAU Working Group on Cartographic Coordinates and Rotational Elements: 2015, Celest. Mech. Dyn. Astron., Vol. 130, No. 22, 21-46; (https://doi.org/10.1007/s10569-017-9805-5).
• Eroshkin G.I. (2005) Geodetic rotation in the Solar system, Proceedings of the Institute of Applied Astronomy of the Russian Academy of Sciences (St. Petersburg), issue 13, 250-257; (in Russian).
• Eroshkin G.I., Pashkevich V.V. (2007) Geodetic rotation of the Solar system bodies, Artificial Satellites, Vol. 42, No. 1, pp. 59-70; (https://doi.org/10.2478/v10018-007-0017-1).
• 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; (https://doi.org/10.2478/v10018-009-0018-3).
• De Sitter W. (1916) On Einstein's theory of Gravitation and its Astronomical Consequences, Monthly Notices of the Royal Astronomical Society, Vol. 76, No. 9, 699-728; (https://doi.org/10.1093/mnras/76.9.699).
• 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.
• Fukushima T. (1991) Geodesic Nutation, Astronomy and Astrophysics, 244, No.1, pp. L11- L12. (ISSN 0004-6361).
• Giorgini J.D., Chodas P.W., Yeomans D.K. 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.
• Jenkins G.M., Watts D.G. Spectral analysis and its applications, Holden-day, San Francisko, Cambridge, London, Amsterdam. 1969.
• Lamy P. L., Kaasalainen M., Lowry S., Weissman P., Barucci M. A., Carvano J., Choi Y.-J., Colas F., Faury G., Fornasier S., Groussin O., Hicks M.D., Jorda L., Kryszczynska A., Larson S., Toth I., Warner B. Asteroid 2867 Steins. II. Multi-telescope visible observations, shape reconstruction, and rotational state // Astronomy and Astrophysics. 2008. V. 487. № 3. P. 1179-1185; (https://doi.org/10.1051/0004-6361:20078995).
• L'vov, V.N., Tsekmeister, S.D. The use of the EPOS software package for research of the Solar system objects // Sol. Syst. Res. 2012. V. 46. № 2. P. 177-179. (https://doi.org/10.1134/S0038094612020074).
• Ma C., Arias E.F., Eubanks T.M., Fey A.L., Gontier A.-M., Jacobs C.S., Sovers O.J., Archinal B.A., Charlot P. (1998) The international celestial reference frame as realized by very long baseline interferometry, Astron. J., Vol. 116, No. 1, 516-546; (https://doi.org/10.1086/300408).
• Pashkevich V.V. (2016) New high-precision values of the geodetic rotation of the major planets, Pluto, the Moon and the Sun, Artificial Satellites, Journal of Planetary Geodesy, Vol. 51, No. 2, 61-73; (https://doi.org/10.1515/arsa-2016-0006).
• Pashkevich V.V., Vershkov A.N. (2019) New High-Precision Values of the Geodetic Rotation of the Mars Satellites System, Major Planets, Pluto, the Moon and the Sun, Artificial Satellites, Journal of Planetary Geodesy, Vol. 54, No. 2, 31-42; (https://doi.org/10.2478/arsa2019-0004).
• Pashkevich V.V., Vershkov A.N. (2020) Relativistic effects in the rotation of Jupiter’s inner satellites, Artificial Satellites, Journal of Planetary Geodesy, Vol. 55, No. 3, 118-129; (https://doi.org/10.2478/arsa-2020-0009).
• Russell C.T., Raymond C.A., Jaumann R., McSween H.Y., DeSanctis M.C., Nathues A., Prettyman T.H., Ammannito E., Reddy V., Preusker F., O’Brien D.P., Marchi S., Denevi B.W., Buczkowsk D.L., Pieters C.M., McCord T.B., Li J.Y., Mittlefehldt D.W., Combe J.P., Williams D.A., Hiesinger H., Yingst R.A., Polanskey C.A., Joy S.P. Dawn completes its mission at 4 Vesta // Meteorit. Planet. Sci. 2013. V. 48. № 11. P. 2076-2089; (https://doi.org/10.1111/maps.12091).
• Smart W.M. (1953) Celestial Mechanics, Longmans, Green and Co, London - New York - Toronto.
• Suslov G.K. (1946): Theoretical mechanics. OGIZ, Moscow, (in Russian).

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).