Escape distribution for an inclined billiard
Hénon [8] used an inclined billiard to investigate aspects of chaotic scattering which occur in satellite encounters and in other situations. His model consisted of a piecewise mapping which described the motion of a point particle bouncing elastically on two disks. A one parameter family of orbits...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
2012.
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| Online Access: | Get fulltext |
| LEADER | 00997 am a22001333u 4500 | ||
|---|---|---|---|
| 001 | 273235 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Roy, Alan |e author |
| 700 | 1 | 0 | |a Georgakarakos, Nikolaos |e author |
| 245 | 0 | 0 | |a Escape distribution for an inclined billiard |
| 260 | |c 2012. | ||
| 856 | |z Get fulltext |u https://eprints.soton.ac.uk/273235/1/rcd-escape-1-1.pdf | ||
| 520 | |a Hénon [8] used an inclined billiard to investigate aspects of chaotic scattering which occur in satellite encounters and in other situations. His model consisted of a piecewise mapping which described the motion of a point particle bouncing elastically on two disks. A one parameter family of orbits, named h-orbits, was obtained by starting the particle at rest from a given height. We obtain an analytical expression for the escape distribution of the h-orbits, which is also compared with results from numerical simulations. Finally, some discussion is made about possible applications of the h-orbits in connection with Hill's problem. | ||
| 655 | 7 | |a Article | |