On the two-dimensional rotational body of maximal Newtonian resistance

TL;DR

This paper uses computer simulations to identify two-dimensional nonconvex shapes that nearly maximize resistance in a rarefied medium, advancing previous findings by achieving shapes with resistance close to the theoretical maximum.

Contribution

The study introduces a new shape that nearly attains the maximal Newtonian resistance, improving upon prior results in the field.

Findings

Identified a shape with resistance close to the theoretical maximum.

Demonstrated the effectiveness of computer simulations in optimizing resistance.

Achieved better resistance values than previous known shapes.

Abstract

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.