摘要
讨论了飞机的空中加油问题,通过比较不同方案下主机的最大作战半径,找到了辅机给主机空中加油的最佳方案,分析了存在多个基地时各基地的位置及辅机在各基地的数量,研究了二维坐标下主机的最佳飞行路径,给出了解决问题的办法.整个思路由浅入深,通过考虑辅机数目n分别为1,2,3,4的特殊情况进而探讨一般的规律,包括辅机在基地无加油时间和有加油时间以及主机在空中盘旋等不同假设条件下的复杂情况,并将统计出的数据列表对比,获得了更直观的认识.在最后进行了展望,希望结合实际中的飞机空中加油问题综合考虑风力、风向等随机因素的影响,拓展到3维空间的更复杂模型中,使飞机的空间加油问题变得更有实际意义.
Some problems about airborne refueling were discussed in the paper. By the comparison of chief aircraft＇s maximum flying range under different eases, the optimal scheme about how assistant aircraft refueled the chief aircraft was found. And some solutions were given according to the analysis of the location of one or more air bases, to which the number of assistant aircraft belonged, and the optimal flying route in two - dimension ecordinates. Firstly the number of assistant aircraft was supposed to be special value, like 1,2, 3,4. Then a table of experimental data with more values and some figure were resulted, from which a general rule was lastly concluded. At the end of the paper, it was suggested that the influence of wind power, wind direction and some other random factors be taken into consideration, so that the model could be developed into three dimensions and the study would be more practical.
出处
《数学的实践与认识》
CSCD
北大核心
2006年第7期88-100,共13页
Mathematics in Practice and Theory
关键词
空中加油
加油机
作战半径
规划
airborne fueling
aerial tanker
maximum firing range
mathematical modeling
