本文给出人造地球卫星轨道问题的二阶解。地球引力场的位函数包括任意有限个带谐调和项。这个解是基于Aksnes的中间轨道获得的,并用文字形式表达出来。短周期项是完全的,二阶长周期项和三阶长期项精确到偏心率e的一阶项。用这个解来计算轨道,在几天的时间内卫星的位置误差为一米左右。 This paper gives the second-order solution to the problem of man-made earth satellite orbits. The bit function of the Earth’s gravitational field includes any finite number of band harmonics and terms. This solution is based on Aksnes’s middle orbit and is expressed in text. The short term term is complete, the second long term term and the third long term term are accurate to the first term of the eccentricity e. Use this solution to calculate the orbit, in a few days the position error of the satellite is about one meter.