On the two-dimensional rotational body of maximal Newtonian resistance

Details On the two-dimensional rotational body of maximal Newtonian resistance On the two-dimensional rotational body of maximal Newtonian resistance

2009-09-26

arxiv.org/abs/0909.4871v1

Journal of Mathematical Sciences, Vol. 161, No. 6, 2009, 811--819

Mathematics

Optimization and Control

This is a preprint version of the paper published in J. Math. Sci. (N. Y.), Vol. 161, no. 6, 2009, 811--819. DOI:10.1007/s1095

Scientific paper

10.1007/s10958-009-9602-0

We investigate, by means of computer simulations, shapes of nonconvex bodies that maximize resistance to their motion through a rarefied medium, considering that bodies are moving forward and at the same time slowly rotating. A two-dimensional geometric shape that confers to the body a resistance very close to the theoretical supremum value is obtained, improving previous results.

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