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Secular change in the spin states of asteroids due to radiation and gravitation torques

Josef ĎurechCharles University, Faculty of Mathematics and Physics, Institute of Astronomy, V Holešovičkách 2, 180 00 Prague, Czech RepublicDavid VokrouhlickýCharles University, Faculty of Mathematics and Physics, Institute of Astronomy, V Holešovičkách 2, 180 00 Prague, Czech RepublicPetr PravecAstronomical Institute, Academy of Sciences of the Czech Republic, Fričova 1, 251 65 Ondřejov, Czech RepublicYu. N. KruglyAstronomical Observatory Institute, Faculty of Physics, Adam Mickiewicz University, Słoneczna 36, 60-286 Poznań, PolandDavid PolishookFaculty of Physics, Weizmann Institute of Science, 234 Herzl St., Rehovot 7610001, IsraelJ. HanušCharles University, Faculty of Mathematics and Physics, Institute of Astronomy, V Holešovičkách 2, 180 00 Prague, Czech RepublicFranck MarchisCarl Sagan Center at the SETI Institute, 189 Bernardo Av., Mountain View, CA 94043, USAAgata RożekInstitute for Astronomy, University of Edinburgh, Royal Observatory, Edinburgh, EH9 3HJ, UKC. SnodgrassInstitute for Astronomy, University of Edinburgh, Royal Observatory, Edinburgh, EH9 3HJ, UKL. AlegreInstitute for Astronomy, University of Edinburgh, Royal Observatory, Edinburgh, EH9 3HJ, UKZ. DonchevInstitute of Astronomy and NAO, Bulgarian Academy of Sciences, 72 Tsarigradsko Chaussee Blvd., 1784 Sofia, BulgariaSh. A. EhgamberdievUlugh Beg Astronomical Institute, Astronomicheskaya Str. 33, Tashkent 100052, UzbekistanPetr FatkaAstronomical Institute, Academy of Sciences of the Czech Republic, Fričova 1, 251 65 Ondřejov, Czech RepublicN. M. GaftonyukCrimean Astrophysical Observatory, Simeiz, CrimeaA. GaládK. HornochAstronomical Institute, Academy of Sciences of the Czech Republic, Fričova 1, 251 65 Ondřejov, Czech RepublicR. InasaridzeE. Kharadze Georgian National Astrophysical Observatory, Abastumani, GeorgiaElahe KhaloueiAstronomy Research Center, Research Institute of Basic Sciences, Seoul National University, 1 Gwanak-ro, Gwanak-gu, Seoul 08826, KoreaH. KučákováAstronomical Institute, Academy of Sciences of the Czech Republic, Fričova 1, 251 65 Ondřejov, Czech RepublicP. KušnirákAstronomical Institute, Academy of Sciences of the Czech Republic, Fričova 1, 251 65 Ondřejov, Czech RepublicJulian OeyDonald P. PraySugarloaf Mountain Observatory, South Deerfield, MA 01373, USAA. SergeevInstitute of Astronomy of V. N. Karazin Kharkiv National University, Sumska Str. 35, Kharkiv 61022, UkraineI. SlyusarevInstitute of Astronomy of V. N. Karazin Kharkiv National University, Sumska Str. 35, Kharkiv 61022, Ukraine
ABI

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Context . The rotation state of small asteroids is affected in the long term by perturbing torques of gravitational and radiative origin (the YORP effect). The former can be detected by a change in the spin-axis orientation in the inertial space; the latter manifests itself by a quadratic increase in the rotation phase. Aims . Direct observational evidence of the YORP effect is the primary goal of our work. This includes both the YORP detection for new objects and an improvement in the accuracy of previously known detections. Methods . We carried out photometric observations of five near-Earth asteroids: (1862) Apollo, (2100) Ra-Shalom, (85989) 1999 JD6, (138852) 2000 WN10, and (161989) Cacus. Then we applied the light-curve inversion method to all available data to determine the spin state and a convex shape model for each of the five studied asteroids. The YORP effect was modeled as a linear change of the rotation frequency υ ≡ d ω /d t . In the case of (2100) Ra-Shalom, the analysis required that the spin-axis precession due to the solar gravitational torque also be included. Results . We obtained two new detections of the YORP effect: (i) υ = (2.9 ± 2.0) × 10 −9 rad d −2 for (2100) Ra-Shalom, and (ii) υ = (5.5 ± 0.7) × 10 −8 rad d −2 for (138852) 2000 WN10. The analysis of Ra-Shalom also reveals a precession of the spin axis with a precession constant α ~ 3000″ yr −1 . This is the first such detection from Earth-bound photometric data. For the other two asteroids, we improved the accuracy of the previously reported YORP detection: (i) υ = (4.94 ± 0.09) × 10 −8 rad d −2 for (1862) Apollo, and (ii) υ = (1.86 ± 0.09) × 10 −8 rad d −2 for (161989) Cacus. With this value, Apollo has the most precisely determined YORP effect so far. Despite the recent report of a detected YORP effect for (85989) 1999 JD6, we show that the model without YORP cannot be rejected statistically. Therefore, the detection of the YORP effect for this asteroid requires future observations. In several of our targets, the currently available observations do not provide enough constraints on the shape model (even at large scales) to compute the theoretical YORP effect with sufficient precision. Nevertheless, the interpretation of the detected signal as the YORP effect is fairly plausible. The spin-axis precession constant of Ra-Shalom determined from observations matches the theoretically expected value. Conclusions . The total number of asteroids with a YORP detection has increased to 12. In all cases, the rotation frequency increases in time. The analysis of a rich photometric data set of irregularly shaped asteroids may require inclusion of spin-axis precession in future studies.

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