Asymptotic solution for the two-body problem with constant tangential thrust acceleration

被引：45

作者：

Bombardelli, Claudio ^{[1
]}

Bau, Giulio ^{[2
]}

Pelaez, Jesus ^{[1
]}

机构：

[1] ETSI Aeronaut, Madrid, Spain

[2] CISAS, Padua, Italy

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2011年 / 110卷 / 03期

关键词：

Two body problem; Tangential thrust; Asymptotic expansion; Orbit transfer;

D O I：

10.1007/s10569-011-9353-3

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

An analytical solution of the two body problem perturbed by a constant tangential acceleration is derived with the aid of perturbation theory. The solution, which is valid for circular and elliptic orbits with generic eccentricity, describes the instantaneous time variation of all orbital elements. A comparison with high-accuracy numerical results shows that the analytical method can be effectively applied to multiple-revolution low-thrust orbit transfer around planets and in interplanetary space with negligible error.

引用

页码：239 / 256

页数：18

共 9 条

[1]

Battin R.H., 1999, INTRO MATH METHODS A

[2] ESCAPE FROM A CIRCULAR ORBIT USING TANGENTIAL THRUST [J].