Binary and triple collisions causing instability in the free-fall three-body problem     

Hiroaki Umehara  Kiyotaka Tanikawa 《Celestial Mechanics and Dynamical Astronomy》2000,76(3):187-214

Dominant factors for escape after the first triple-encounter are searched for in the three-body problem with zero initial velocities and equal masses. By a global numerical survey on the whole initial-value space, it is found that not only a triple-collision orbit but also a particular family of binary-collision orbits exist in the set of escape orbits. This observation is justified from various viewpoints. Binary-collision orbits experiencing close triple-encounter turn out to be close to isosceles orbits after the encounter and hence lead to escape. Except for a few cases, binary-collision orbits of near-isosceles slingshot also escape. This revised version was published online in July 2006 with corrections to the Cover Date.  相似文献   

A search for collision orbits in the free-fall three-body problem I. Numerical procedure     

Kiyotaka Tanikawa  Hiroaki Umehara  Hiroshi Abe 《Celestial Mechanics and Dynamical Astronomy》1995,62(4):335-362

A numerical procedure is devised to find binary collision orbits in the free-fall three-body problem. Applying this procedure, families of binary collision orbits are found and a sequence of triple collision orbits are positioned. A property of sets of binary collision orbits which is convenient to search triple collision orbits is found. Important numerical results are formulated and summarized in the final section.  相似文献   

Oscillatory orbits in the planar three‐body problem with equal masses     

Kiyotaka Tanikawa  Hiroaki Umehara 《Celestial Mechanics and Dynamical Astronomy》1998,70(3):167-180

In the free‐fall three‐body problem, distributions of escape, binary, and triple collision orbits are obtained. Interpretation of the results leads us to the existence of oscillatory orbits in the planar three‐body problem with equal masses. A scenario to prove their existence is described. This revised version was published online in July 2006 with corrections to the Cover Date.  相似文献   

Landslide detection based on height and amplitude differences using pre- and post-event airborne X-band SAR data     

Uemoto  Jyunpei  Moriyama  Toshifumi  Nadai  Akitsugu  Kojima  Shoichiro  Umehara  Toshihiko 《Natural Hazards》2019,95(3):485-503

Natural Hazards - The recognition of landslides and making their inventory map are considered to be urgent tasks not only for damage estimation but also for planning rescue and restoration...  相似文献   

Orbital Distribution Arbitrarily Close to the Homothetic Equilateral Triple Collision in the Free‐Fall Three‐Body Problem with Equal Masses     

Hiroaki Umehara  Kiyotaka Tanikawa 《Celestial Mechanics and Dynamical Astronomy》1999,74(2):69-94

The existence of escape and nonescape orbits arbitrarily close to the homothetic equilateral triplecollision orbit is considered analytically in the threebody problem with zero initial velocities and equal masses. It is proved that escape orbits in the initial condition space are distributed around three kinds of isosceles orbits. It is also proved that nonescape orbits are distributed in between the escape orbits where different particles escape. In order to show this, it is proved that the homotheticequilateral orbit is isolated from other triplecollision orbits as far as the collision at the first triple encounter is concerned. Moreover, the escape criterion is formulated in the planarisosceles problem and translated into the words of regularizing variables. The result obtained by us explains the orbital structure numerically.  相似文献