中文摘要：

在深空间探索的太阳的风帆的优点是没有燃料消费被要求。以太阳为中心的距离是影响在太阳的风帆上施加的太阳的放射压力力量的一个因素。另外，太阳的放射压力力量也与关于日光方向的太阳的风帆取向有关。为一张理想的完全太阳的风帆，在风帆正常和日光方向之间的锥角度决定太阳的放射压力力量的大小和方向。一般来说，锥角度能从 0 捡楴慣? 湥楧敮牥湩 ? 潣摮瑩潩獮变化。

英文摘要：

The advantage of solar sails in deep space exploration is that no fuel consumption is required. The heliocentric distance is one factor influencing the solar radiation pressure force exerted on solar sails. In addition, the solar radiation pressure force is also related to the solar sail orientation with respect to the sunlight direction. For an ideal flat solar sail, the cone angle between the sail normal and the sunlight direction determines the magnitude and direction of solar radiation pressure force. In general, the cone angle can change from 0° to 90°. However, in practical applications, a large cone angle may reduce the efficiency of solar radiation pressure force and there is a strict requirement on the attitude control. Usually, the cone angle range is restricted less more than an acute angle （for example, not more than 40°） in engineering practice. In this paper, the time-optimal transfer trajectory is designed over a restricted range of the cone angle, and an indirect method is used to solve the two point boundary value problem associated to the optimal control problem. Relevant numerical examples are provided to compare with the case of an unrestricted case, and the effects of different maximum restricted cone angles are discussed. The results indicate that （1） for the condition of a restricted cone-angle range the transfer time is longer than that for the unrestricted case and （2） the optimal transfer time increases as the maximum restricted cone angle decreases.