卫星和飞船测控站分布的优化模型

Optimization model for the distribution of satellite and spaceship's ground tracking stations

以2009年全国大学生数学建模竞赛C题为背景,运用解析几何与高等数学的方法,对神七飞行轨道为圆形轨道和椭圆轨道分别建立了理想数学模型.对于飞船的不同飞行高度与角度,给出了相应的全程测控所需的最少测控站的优化模型,最后对模型进行了评价.

This article discusses the problem C of 2009 China undergraduate mathematical contest in modeling,based on the method of the analytic geometry and calculus,the ideal mathematical model is established to solve the circular orbit and the oval orbit of Shenzhou VII spaceship.For the different height and angle of the spaceship,corresponsively give the optimization model of the least ground tracking stations for spaceship overall monitoring,finally evaluated the model.