%0 Journal Article %T AIRCRAFT CONFLICTS RESOLUTION BY COURSE MANEUVERING §²§°§©§£¡¯§Á§©§¡§¯§¯§Á §¬§°§¯§¶§­ §¬§´§¯§ª§· §³§ª§´§µ§¡§¸ §« §® §¨ §±§°§£ §´§²§Á§¯§ª§®§ª §¬§°§²§¡§¢§­§Á§®§ª §®§¡§¯§¦§£§²§µ§£§¡§¯§¯§Á§® §¬§µ§²§³§°§® §±§°§­§¾§°§´§µ §²§°§©§£¡¯§Á§©§¡§¯§¯§Á §¬§°§¯§¶§­ §¬§´§¯§ª§· §³§ª§´§µ§¡§¸ §« §® §¨ §±§°§£ §´§²§Á§¯§ª§®§ª §¬§°§²§¡§¢§­§Á§®§ª §®§¡§¯§¦§£§²§µ§£§¡§¯§¯§Á§® §¬§µ§²§³§°§® §±§°§­§¾§°§´§µ %A §£. §·§Ñ§â§é§Ö§ß§Ü§à %A §¥. §£§Ñ§ã§Ú§Ý§î£¿§Ó %J Proceedings of National Aviation University %D 2011 %I National Aviation University %X Enhancement of requirements for air traffic efficiency at increasing of flights intensity determines the necessity of development of new optimization methods for aircraft conflict resolutions. The statement of problem of optimal conflict resolutions at Cooperative Air Traffic Management was done. The method for optimal aircraft conflict resolution by course maneuvering has been developed. The method using dynamic programming provides planning of aircraft conflict-free trajectory with minimum length. The decomposition of conflict resolution process on phases and stages, definition of states, controls and recursive equations for generation of optimal course control program were done. Computer modeling of aircraft conflict resolution by developed method was done §²§à§Ù§Ô§Ý§ñ§ß§å§ä§à §Þ§Ö§ä§à§Õ §à§á§ä§Ú§Þ§Ñ§Ý§î§ß§à§Ô§à §â§à§Ù§Ó¡¯§ñ§Ù§Ñ§ß§ß§ñ §Ü§à§ß§æ§Ý §Ü§ä§ß§Ú§ç §ã§Ú§ä§å§Ñ§è §Û §Þ §Ø §á§à§Ó §ä§â§ñ§ß§Ú§Þ§Ú§Ü§à§â§Ñ§Ò§Ý§ñ§Þ§Ú §Þ§Ñ§ß§Ö§Ó§â§å§Ó§Ñ§ß§ß§ñ§Þ §Ü§å§â§ã§à§Þ §á§à§Ý§î§à§ä§å §á§â§Ú §Ü§à§à§á§Ö§â§Ñ§ä§Ú§Ó§ß§à§Þ§å §Ü§Ö§â§å§Ó§Ñ§ß§ß§ñ §á§à§Ó §ä§â§ñ§ß§Ú§Þ §â§å-§ç§à§Þ. §©§Ñ§á§â§à§á§à§ß§à§Ó§Ñ§ß§Ú§Û §Þ§Ö§ä§à§Õ §Ù §å§â§Ñ§ç§å§Ó§Ñ§ß§ß§ñ§Þ §â §Ù§ß§Ú§ç §à§Ò§Þ§Ö§Ø§Ö§ß§î §Ù§Ñ§Ò§Ö§Ù§á§Ö§é§å §á§Ý§Ñ§ß§å§Ó§Ñ§ß§ß§ñ §Ò§Ö§Ù§Ü§à§ß§æ-§Ý §Ü§ä§ß§à §ä§â§Ñ §Ü§ä§à§â §á§à§Ý§î§à§ä§å §Ù §Þ §ß §Þ§Ñ§Ý§î§ß§à§ð §Ó §Õ§ã§ä§Ñ§ß§ß§ð.The method for optimal aircraft conflict resolution by course maneuvering at Cooperative AirTraffic Management is considered. Proposed method provides planning of conflict-free trajectorywith minimum length in accordance with different limitations.§²§Ñ§ã§ã§Þ§à§ä§â§Ö§ß §Þ§Ö§ä§à§Õ §à§á§ä§Ú§Þ§Ñ§Ý§î§ß§à§Ô§à §â§Ñ§Ù§â§Ö§ê§Ö§ß§Ú§ñ §Ü§à§ß§æ§Ý§Ú§Ü§ä§ß§í§ç §ã§Ú§ä§å§Ñ§è§Ú§Û §Þ§Ö§Ø§Õ§å §Ó§à§Ù§Õ§å§ê§ß§í§Þ§Ú§ã§å§Õ§Ñ§Þ§Ú §Þ§Ñ§ß§Ö§Ó§â§Ú§â§à§Ó§Ñ§ß§Ú§Ö§Þ §Ü§å§â§ã§à§Þ §á§à§Ý§Ö§ä§Ñ §á§â§Ú §Ü§à§à§á§Ö§â§Ñ§ä§Ú§Ó§ß§à§Þ §å§á§â§Ñ§Ó§Ý§Ö§ß§Ú§Ú §Ó§à§Ù§Õ§å§ê§ß§í§Þ §Õ§Ó§Ú§Ø§Ö§ß§Ú-§Ö§Þ. §±§â§Ö§Õ§Ý§à§Ø§Ö§ß§ß§í§Û §Þ§Ö§ä§à§Õ §ã §å§é§Ö§ä§à§Þ §â§Ñ§Ù§ß§í§ç §à§Ô§â§Ñ§ß§Ú§é§Ö§ß§Ú§Û §à§Ò§Ö§ã§á§Ö§é§Ú§Ó§Ñ§Ö§ä §á§Ý§Ñ§ß§Ú§â§à§Ó§Ñ§ß§Ú§Ö §Ò§Ö§ã§Ü§à§ß§æ-§Ý§Ú§Ü§ä§ß§à§Û §ä§â§Ñ§Ö§Ü§ä§à§â§Ú§Ú §á§à§Ý§Ö§ä§Ñ §ã §Þ§Ú§ß§Ú§Þ§Ñ§Ý§î§ß§í§Þ §â§Ñ§ã§ã§ä§à§ñ§ß§ß§Ú§Ö§Þ. §±§à§Ü§Ñ§Ù§Ñ§ß§à, §ë§à §á §Õ§Ó§Ú§ë§Ö§ß§ß§ñ §Ó§Ú§Þ§à§Ô §Õ§à §Ö§æ§Ö§Ü§ä§Ú§Ó§ß§à§ã§ä §á§à§Ó §ä§â§ñ§ß§à§Ô§à §â§å§ç§å §á§â§Ú §ã§á§à§ã§ä§Ö§â§Ö§Ø§å§Ó§Ñ§ß§à§Þ§å§Ù§Ò §Ý§î§ê§Ö§ß§ß §ß§ä§Ö§ß§ã§Ú§Ó§ß§à§ã§ä §á§à§Ý§î§à§ä §Ó §Ù§å§Þ§à§Ó§Ý§ð §ß§Ö§à§Ò§ç §Õ§ß §ã§ä§î §â§à§Ù§â§à§Ò§Ý§Ö§ß§ß§ñ §ß§à§Ó§Ú§ç §à§á§ä§Ú§Þ §Ù§Ñ§è §Û-§ß§Ú§ç §Þ§Ö§ä§à§Õ §Ó §ä§Ñ §Ñ§Ý§Ô§à§â§Ú§ä§Þ §Ó §â§à§Ù§Ó¡¯§ñ§Ù§Ñ§ß§ß§ñ §Ü§à§ß§æ§Ý §Ü§ä§ß§Ú§ç §ã§Ú§ä§å§Ñ§è §Û §Þ §Ø §á§à§Ó §ä§â§ñ§ß§Ú§Þ§Ú §Ü§à§â§Ñ§Ò§Ý§ñ§Þ§Ú. §©§â§à§Ò§Ý§Ö§ß§à §á§à§ã§ä§Ñ§ß§à§Ó§Ü§å §Ù§Ñ§Õ§Ñ§é §à§á§ä§Ú§Þ§Ñ§Ý§î§ß§à§Ô§à §â§à§Ù§Ó¡¯§ñ§Ù§Ñ§ß§ß§ñ §Ü§à§ß§æ§Ý §Ü§ä§ß§Ú§ç §ã§Ú§ä§å§Ñ§è §Û §á§â§Ú §Ü§à§à§á§Ö§â§Ñ§ä§Ú-§Ó§ß§à§Þ§å §Ü§Ö§â§å§Ó§Ñ§ß§ß §á§à§Ó §ä§â§ñ§ß§Ú§Þ §â§å§ç§à§Þ. §²§à§Ù§â§à %K §Ò§Ö§Ù§á§Ö§Ü§Ñ §á§à§Ý§î§à§ä §Ó %K §Ü§à§à§á§Ö§â§Ñ§ä§Ú§Ó§ß§Ö §Ü§Ö§â§å§Ó§Ñ§ß§ß§ñ §á§à§Ó §ä§â§ñ§ß§Ú§Þ §â§å§ç§à§Þ %K §à§á§ä§Ú§Þ §Ù§Ñ§è §ñ %K §â§à§Ù§Ó¡¯§ñ§Ù§Ñ§ß§ß§ñ §Ü§à§ß§æ§Ý §Ü§ä§ß§Ú§ç §ã§Ú§ä§å§Ñ§è §Û %U http://jrnl.nau.edu.ua/index.php/visnik/article/view/5