CAJ | 학술논문

针对传统大圆航线设计采用的球体模型和现代导航设备采用的椭球体模型不统一引起航行误差的问题，研究了基于空间矢量的大椭圆航线设计方法。通过采用空间矢量代数方法直接求解大椭圆顶点，并提出依据长轴矢量和短轴矢量的大椭圆描述方法，应用两个基本矢量推导大椭圆航线方位和航程计算公式，进而研究了大椭圆航线设计算法，重点提出了基于Newton‐Raphson（N‐R）的等距离航线设计算法。对比算例表明，大圆航线与大椭圆航线设计结果差异明显，大椭圆航线设计算法与航行阶段采用的地球模型一致，可消除大圆航线设计引起的误差，提高航海计算精度。
침대전통대원항선설계채용적구체모형화현대도항설비채용적타구체모형불통일인기항행오차적문제，연구료기우공간시량적대타원항선설계방법。통과채용공간시량대수방법직접구해대타원정점，병제출의거장축시량화단축시량적대타원묘술방법，응용량개기본시량추도대타원항선방위화항정계산공식，진이연구료대타원항선설계산법，중점제출료기우Newton‐Raphson（N‐R）적등거리항선설계산법。대비산례표명，대원항선여대타원항선설계결과차이명현，대타원항선설계산법여항행계단채용적지구모형일치，가소제대원항선설계인기적오차，제고항해계산정도。
Aiming at the problem of navigation error caused by unified earth model in great circle route planning using sphere model and modern navigation equipment using ellipsoid mode ,a method of great ellipse route planning based on space vector is studied .By using space vector algebra method ,the vertex of great ellipse is solved directly ,and description of great ellipse based on major‐axis vector and minor‐axis vector is presented .Then calcul ation formul as of great ellipse azimuth and distance are deduced using two basic vectors .Finally ,algorithms of great ellipse route planning are studied ,especially equal distance route planning algorithm based on Newton‐Raphson(N‐R) method .Comparative examples show that the difference of route planning between great circle and great ellipse is significant ,using algorithms of great ellipse route planning can eliminate the navigation error caused by the great circle route planning ,and effectively improve the accuracy of navigation calcul ation .