The sizes of color patches on the surface of the asteroid 4 Vesta

The sizes of color patches on the surface of the asteroid 4 Vesta were estimated with the spectral-frequency method. We used the digital records of the asteroid spectra obtained on February 2, 3, 4, and 7, 2002, with the TV system and the slitless afocal spectrograph of the MTM-500 telescope at the Research Institute of the Crimean Astrophysical Observatory. The spectral resolution caused by the image quantity was about 40 Å and the exposure duration was 30 s. The energy calibration was performed both with the artificial light-emitting diode standard and three standard stars. The synthetic color indices B-V and V-R were calculated from the asteroid spectra taken out of the atmosphere. From these data, the changes with an asteroid rotation phase were eliminated. After that, the periods that were significantly smaller than the asteroid rotation period were searched for, and each time the data were whitened for the obtained period. Assuming that the patch sizes are determined by the half-obtained period and that the patches are located in the equatorial region of the asteroid, we estimated the sizes of 20 and 19 patches in the long-and short-wavelength ranges, respectively. The smallest found patch was about 9 km across. The statistical estimates of the reddish patches and the comparison with the statistics of old craters allowed us to suggest that the reddish patches on the asteroid Vesta surface are old formations.