Oscillatory motions for the restricted planar circular three body problem
Oscillatory motions for the restricted planar circular three body problem
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DOI：
10.1007/s00222-015-0591-y
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发表时间：
2012-07
影响因子：
3.1
通讯作者：
M. Guardia;Pau Martín;T. M. Seara
中科院分区：
文献类型：
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作者：
M. Guardia;Pau Martín;T. M. Seara
受限平面椭圆三体问题模拟了无质量物体在另外两个物体的牛顿引力作用下的运动，这两个物体是初级物体，它们在开普勒式椭圆中演化。如果轨迹离开每个有界区域，但又无限地返回到某个固定的有界区域，则称其为振荡轨迹。我们证明了对于初等质量的任何值，只要它们做了几乎圆形的轨道，就存在这种类型的轨道。
The restricted planar elliptic three body problem models the motion of a massless body under the Newtonian gravitational force of the two other bodies, the primaries, which evolve in Keplerian ellipses. A trajectory is called oscillatory if it leaves every bounded region but returns infinitely often to some fixed bounded region. We prove the existence of such type of trajectories for any values for the masses of the primaries provided they make almost circular orbits.