摘要
本文比较在建立中等和大偏心率轨道的精密数值历表时几种数值方法的计算效率，特别推荐国内轨道工作中尚未见使用的直接积分２ 阶微分方程的ＲＫＮＦ 方法。数值实算表明，在方程右函数显含速度和中等或大偏心率轨道情况下，嵌套的７ 阶方法ＲＫＮＦ７８ 是一个普适性好、效率高、程序设计简单的方法。
This paper compares the computational efficiencies of sveral numerical integrators in the construction of precise numerical ephemerides of orbits with middle or large eccentricities.Especially we recommend the method named RKNF,which directly integrates second order differential equations and has never been used in domestic researches on orbit dynamics.Our numerical computation has shown that the 7th order embedding method,RKNF78,is generally applicable,highly efficient and easy to program.
基金
小行星基金会
国家自然科学基金
