推荐一组对长、短积分间隔皆优的线性多步积分公式

RECOMMENDATION OF A GROUP OF NUMERICAL INTEGRATION FORMULAE SUITABLE FOR DIFFERENT INTEGRATION INTERVALS

推荐了一组对短、中、长积分间隔以及带耗散力或较大偏心率等多种类型卫星轨道数值积分皆可获取较高计算精度的线性多步积分公式 (MTM) 。

For solving the initial value problem of the particular second order ordinary differential equations y″=f(x,y) or y″+εy′=f(x,y) , a large number of linear multi step integration formulae have been constructed. A set of numerical integrators (Many Types Method), suitable to different integration intervals, are recommended.