A sixth-order accurate scheme for solving two-point boundary value problems in astrodynamics

被引：18

作者：

Armellin, Roberto ^{[1
]}

Topputo, Francesco ^{[1
]}

机构：

[1] Politecn Milan, Dept Aerosp Engn, I-20156 Milan, Italy

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2006年 / 96卷 / 3-4期

关键词：

non-linear boundary value problem; restricted three-body problem; bicircular four-body problem; halo orbits;

D O I：

10.1007/s10569-006-9047-4

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A sixth-order accurate scheme is presented for the solution of ODE systems supplemented by two-point boundary conditions. The proposed integration scheme is a linear multi-point method of sixth-order accuracy successfully used in fluid dynamics and implemented for the first time in astrodynamics applications. A discretization molecule made up of just four grid points attains a O(h(6)) accuracy which is beyond the first Dahlquist's stability barrier. Astrodynamics applications concern the computation of libration point halo orbits, in the restricted three- and four-body models, and the design of an optimal control strategy for a low thrust libration point mission.

引用

页码：289 / 309

页数：21

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