To meet the needs of high resolution of real time imaging for earth observation, we studied the cases of energy expending and spatial spectra (u, v) coverage for optical synthetic aperture camera which is composed of distributed satellite system at geosynchronous earth orbit. Based on the orbital dynamics, we analysed energy expending of collector satellite, which is keeping formation of optical synthetic aperture array at zenith-nadir direction and non zenith-nadir direction, and simulation computed results are given. Based on high quality of imaging, we studied the case of (u, v) coverage of various time of day at zenith-nadir direction and latitude 20° on earth surface of direction. The methods and results obtained can be also apllied to the cases synthetic aperture system such as space-based orbital (i.e. low earth orbital, deep space detection etc.) and various spectrum (i.e. millimeter-wave, microwave etc.), and have very important reference values for developing high-resolution imaging of earth observations etc..