The working mode of the space cooperation detection system composed of several synthetic aperture radar (SAR) satellites and one optical satellite was studied. After investigating the properties of the sun-synchronous orbit and the frozen orbit, the orbital semimajor axis, the eccentricity, the inclination angle and the argument of perigee were selected to satisfy the application requirement of the near-earth-orbit remote sensing satellite. Considering that the effect of yaw steering on the coverage performance, the expression of the intersection of the observed direction and the ground was derived in the fixed geocentric coordinate system. And the algorithm of determining the longitude ascending node and the perihelion passage time was proposed. A design result of the system including two SAR satellites and one optical satellite was demonstrated, which was validated by the international recognized software Satellite ToolKit. It shows that this method is right.