WHEN IS THE BEST TIME FOR THE PHYSICAL OBSERVATIONS OF ASTEROIDS? J. GAO1,2, J. ZHU 2,3 1 .Department of Astronomy, Beijing Normal University, Beijing 100875, P. R. CHINA. Beijing Astronomical Observatory, Chinese Academy of Sciences, Beijing 100012, P. R. CHINA. 3 CAS-PKU Jointly Beijing Astrophysics Center, Peking University, Beijing 100871, P. R. CHINA. 2 The astrometric observations of asteroids are often performed near their oppositions, where they have faster apparent motions and brighter visual magnitudes. However, the physical observations of asteroids (photometric and spectral) often require longer exposure times as well as bright magnitudes for better signal-to-noise ratio, which are combined effects of both apparent moving speeds and visual magnitudes. We derive the equations of the apparent motion of asteroid in geocentric ecliptic coordinates. Comparison of the apparent magnitudes of asteroid at opposition and at stationary shows that the magnitude differences in the two cases are around 1 magnitude in average for main belt asteroids, but are much larger for some NEAs and some special orbit asteroids. Spacial and magnitude distributions of asteroids in different types at stationary are presented from calculations based on both numerical simulation and the real data of the first 20,000 numbered asteroids. The influence of sky background brightness of the observation site, telescope diameter, and pixel size of CCD on the physical observations of asteroids are also discussed.