Scattering in Billiards

Alexander Plakhov
Additional contact information
Alexander Plakhov: University of Aveiro

Chapter Chapter 4 in Exterior Billiards, 2012, pp 105-149 from Springer

Abstract: Abstract In Chap. 2 , we constructed bodies with arbitrarily small aerodynamic resistance. We used a simplified physical model by imposing several fairly restrictive assumptions. In particular, the particles have no thermal motion, that is, the medium has temperature zero, and the body is not allowed to oscillate or rotate. Of course, one can pose new questions about our solutions: are they sensitive to the thermal motion of the particles or to rotational motion of the body? Is it possible to construct bodies with arbitrarily small resistance if the temperature is positive or the body rotates? If not, then what is the least resistance the body can display? We can also ask about maximizing the resistance. In Newton’s original setting, this is a trivial problem: one can produce a body with upper front orthogonal to the direction of motion, but when there is rotation, the problem is not so simple.

Keywords: Convex Body; Convex Part; Single Reflection; True Particle; Rough Body (search for similar items in EconPapers)
Date: 2012
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-4481-7_4

Ordering information: This item can be ordered from
http://www.springer.com/9781461444817

DOI: 10.1007/978-1-4614-4481-7_4

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().