# The analytical solution to Newton's aerodynamic problem in the class of bodies with vertical plane of symmetry and developable side boundary

## TL;DR

This paper derives an analytical differential equation for the optimal shape of symmetric, developable bodies with minimal aerodynamic resistance in a rarefied medium, using Hessian measures and proving their optimality.

## Contribution

It introduces a new differential equation characterizing optimal shapes with symmetry and developability, expanding the analytical understanding of minimal resistance bodies.

## Key findings

- Derived the differential equation for optimal shapes
- Synthesized solutions for bodies with minimal resistance
- Proved the optimality of the solutions

## Abstract

The method of Hessian measures is used to find the differential equation that defines the optimal shape of nonrotationally symmetric bodies with minimal resistance moving in a rare medium. The synthesis of optimal solutions is described. A theorem on the optimality of the obtained solutions is proved.

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Source: https://tomesphere.com/paper/1905.02028