中文摘要：

激光天文动力学引力波探测任务ASTROD—GW（ASTROD『Astrodynami．calSpaceTestofRelativityUsingOpticalDevices]OptimizedforGravitationWaveDetection）是ASTROD专注于探测引力波的优化方案，其航天器轨道在日地拉格朗日点L3、L4、L5附近，构成一个接近等边的三角形阵列，干涉臂长约为2．6×10^8km，其可探测的引力波波长可达LISA（LaserInterferometerSpaceAntenna）的52倍．文中综述ASTROD·GW轨道的设计和优化方法．轨道经优化后，其臂长差（在激光干涉测量中可称为干涉差）10yr内的变化为10^-4AU量级、3个臂长方向的多普勒速度小于4m／s，均小于LISA的要求，因此LISA发展的激光测距技术可用于ASTROD-GW．

英文摘要：

ASTROD-GW （ASTROD [Astrodynamical Space Test of Relativity Using Optical Devices] Optimized for Gravitation Wave Detection） is an optimization of ASTROD to focus on the goal of detecting gravitational waves. Its detectable wavelength is 52 times that of LISA （Laser Interferometer Space Antenna）. In this paper, the mission orbit design of ASTROD-GW together with the optimization methods is presented. The mission orbits of the 3 spacecraft forming a nearly equilateral triangular array are chosen to be near the Sun-Earth Lagrangian points L3, L4 and L5. The arm lengths are about 260 million kilo- meters. After optimization, the variations of arm length differences are less than 10-4 AU in ten years, and the Doppler velocities of these three spacecraft are less than 4 m/s, both of which meet what required by LISA. Therefore, a number of techniques developed by LISA can be applied to ASTROD-GW.