论文标题
在某些限制的三体问题中的广义周期轨道
Generalized periodic orbits in some restricted three-body problems
论文作者
论文摘要
我们将惯性框架中的循环和椭圆限制的三体问题视为定期强迫开普勒问题,并解释说,在这种情况下,[4]的主要结果是适用的。这样可以保证存在任意大量的广义周期轨道(周期性的轨道(带有双重碰撞)正规化的轨道),前提是初选的质量比足够小。
We treat the circular and elliptic restricted three-body problems in inertial frames as periodically forced Kepler problems with additional singularities and explain that in this setting the main result of [4] is applicable. This guarantees the existence of an arbitrary large number of generalized periodic orbits (periodic orbits with possible double collisions regularized) provided the mass ratio of the primaries is small enough.