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1 7 8 9!,,!,,,, 7,! 8, 9!!

2 ?!!!! 97 (McCord et al. 97)! 97 (Taylor 97)! 97 Eucrites (Larson and Fink 97)! 98 (Williams 979)! 99V (Cruikshank et al.99)! 99 V (Binzel and Xu 99)!

3 997 HST (Thomas et al. 997)! 997 (Gladman et al. 997)! V Mars crossers (Binzel et al. )! (Carruba et al. 7, Roig et al. )!!

4 ! Cruikshank et al.99; Xu et al.99; Spahr et al.997; Binzel et al.; Bus & Binzel ; Binzel et al. a; Binzel et al. b; Duffard et al. ; Lazzaro et al. ; Marchi et al.; Alvarez-Candal et al.; de Le "on et al. ; Duffard et al. ; Roig & Gil-Hutton ; Davies et al.7; Carvano et al.; Solontoi et al. ; Sanchez et al.,!!

5 #!!!!!!

6 Kiso Observatory!.-m F/. Schmidt!.-m F/9. Dall-Kirkham! Okayama Observatory!.-m F/. Classical-Cassegrain! Misato Observatory!.-m F/7. Cassegrain! Miyasaka Observatory!.-m F/. Newtonian (until summer)!.-m F/8. Ritchey-Chretien (from fall)! Mauna Kea!.-m F/. Ritchey-Chretien! KISO (Nagano, Japan)!.-m F/. Schmidt [SITe TK8E,. /pixel, FOV: x ]!.-m F/9. Dall-Kirkham[MUTOU CVII,. /pix (x binning), FOV: 7x ]! Miyasaka (Yamanashi, Japan)!.-m F/. Newtonian (OLD) [SBIG ST-,. /pix, FOV: x ]!.-m F/8. Ritchey-Chretien (NEW) [SBIG STL-E,.7 /pix, FOV: 9x9 ]! Okayama (Okayama, Japan)!.-m F/. Classical-Cassegrain [Appogee U,. /pix, FOV: x ]! Misato (Wakayama, Japan)!.-m F/7. Cassegrain [SBIG ST-9E,. /pix, FOV: 9x9 ]! Mauna Kea (Hawaii, USA)!.-m F/. Ritchey-Chretien [8KWFI,. /pix, FOV:~x ]!

7 Analysis of rotation periods! Using two methods! Fast Fourier Transfer (FFT) analysis! Phase Determination Method (PDM):! " (mi - mi+)!! =! " (mi - (" mi)/n)!, N: number of obs.!.. Principia (P=.8 hour) /-.m /-.m /-K.T /-K.T /7-K.T /9-.m.. amplitude (phase angle=deg) [mag] 8 Suruga (P=.8 hour) amplitude (phase angle=deg) [mag] -. /7-shifted-.m Misato /-shifted-.m UH Reiland (P=.9 hour) /-.m Schmidt /-.m Schmidt /-.m Schmidt Lepage (P=. hour) 9/7 / / Lewis (P=.8 hour) 9/-.m Misato /-.m Miyasaka /-.m K.T /-.m K.T Athabasca (P=.9 hour) / / / / / / / / /-K.T / Rauthgundis (P=. hour) / / / / / / Nikulin. /-.m Miyasaka /-.m Miyasaka /7-.m Miyasaka obs time (corrected light time) [hour]... 7 Ermolova (P=.8 hour) -. Hallstrom (P=.9 hour).. / / / / /. 7 Lennon (P=7 hour) -. /-.m Schmidt /9-.m Schmidt /-.m Schmidt /7 9/8 / / / amplitude (phase angle=deg) [mag]. delta magnitude.. Patterson (P=. hour) FZ (P=9. hour)... /-.m K.T /-.m Okayama /7-.m Okayama /-.m Miyasaka QX /-.m Schmidt /-.m Schmidt /-.m Schmidt rotational periord [hour] amplitude (phase angle=deg) [mag] amplitude (phase angle=deg) [mag]... amplitude (phase angle=deg) [mag]. /-.m Schmidt /-.m Schmidt /-.m Schmidt amplitude (phase angle=deg) [mag].. 8 Alupka (P=7.7 hour) amplitude (phase angle=deg) [mag].. amplitude (phase angle=deg) [mag].. amplitude (phase angle=deg) [mag]. /-.m Schmidt /8-.m Miyasaka /9-.m Miyasaka -. amplitude (phase angle=deg) [mag]. Veteraniya (P=8.9 hour) -. amplitude (phase angle=deg) [mag] -. amplitude (phase angle=deg) [mag] /7-.m Schmidt /8-.m Schmidt /-.m Miyasaka /-.m Miyasaka amplitude (phase angle=deg) [mag] 9 Tinchen (P=.7 hour) -. amplitude (phase angle=deg) [mag] amplitude (phase angle=deg) [mag] amplitude (phase angle=deg) [mag] In principle, the periods with minimum value of! is the nearest to the correct periods.! 8 obs time (corrected light time) [hour] TN (P=7. hour) -. /-.m Schmidt /-.m Miyasaka /-.m Miyasaka

8 amplitude (phase angle=deg) [mag] Italia (P=9. hour) /7-.m Schmidt /8-.m Schmidt /-.m Miyasaka /-.m Miyasaka delta magnitude..... Mitchella (P > hour) /9 amplitude (phase angle=deg) [mag] A'Hearn (P=.97 hour) / / / /... rotation period [hour] delta magnitude Tennyo (P >. hour) / amplitude (phase angle=deg) [mag] 89 Robmanning (P=.7 hour) /-.m Schmidt... amplitude (phase angle=deg) [mag] amplitude (phase angle=deg) [mag] van der Pol (P=. hour) /-.m Schmidt.... FB (P=. hour) /-.m Schmidt /7-.m Schmidt amplitude (phase angle=deg) [mag] Tosimatumoto (P=7.8 hour) /-.m Schmidt /-.m Miyasaka. 7 amplitude (phase angle=deg) [mag] amplitude (phase angle=deg) [mag] YO (P~.97 hour) /-.m Schmidt NE9 /-.m Schmidt /7-.m Schmidt obs time (corrected light time) [hour] amplitude (phase angle=deg) [mag] amplitude (phase angle=deg) [mag] XL8 (P~. hour) /-.m Schmidt XH7 /-.m Miyasaka /7-.m Miyasaka obs time (minus light time) [hour] amplitude (phase angle=deg) [mag] VR (P=. hour) /-.m Schmidt #!!

9 8! number 8 rotation rate [rev/day] Hasegawa et al. number number 8 rotation rate [rev/day] 8 rotation rate [rev/day] (Pravec et al. ) (Salo 987)!!!

10 Pravec et al. Kryszczynska et al. Slivan et al. 8 Kim et al.! YORP! YORP! Gyr!

11 ! HED HED! Wakefiled et al. () HEDAr-Ar HED.Gyr! Marzari et al. (99) Gyr! Nesvorny et al. () Myr!! Bottke et al.().gyr! Carruba et al. (7).Gyr Nesvorny et al. (8) Gyr! Marchi et al. () Gyr!

12 Gyr! YOPR Gyr!! YOPR Gyr! Gyr

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