Newton’s aerodynamic problem
https://doi.org/10.18384/2310-7251-2022-3-15-27
Abstract
Aim. The purpose is to find the generatrix of a body of revolution of a minimum drag moving at high speed in a “sparse” Newton's medium, or in a highly rarefied gas.
Methodology. The variational statement is investigated and Newton's aerodynamic problem is solved to find the generatrix of the body of revolution of a minimum drag moving in a “sparse” medium. Newton's law of resistance is derived, the formula for the resistance of a body is posed, and the corresponding variational problem is solved. A similar problem is posed for a body moving at high speed in a highly rarefied gas.
Results. Generators are obtained for an axisymmetric body of minimum resistance moving in an inviscid gas (Newton's model) or in a highly rarefied gas (free molecular model).
Research implications. The results obtained in this work are of great importance for the development of spacecrafts.
About the Authors
S. L. Gorelov
Moscow Institute of Physics and Technology
Sergey L. Gorelov – Dr. Sci. (Phys.-Math.), Prof., Department of Computer Modeling
Institutskii pereulok 9, Dolgoprudnyi 141701, Moscow Region
P. V. Ivanilina
Moscow Institute of Physics and Technology
Russian Federation
Russian Federation
Polina V. Ivanilova – Student, Department of Computer Modeling
Institutskii pereulok 9, Dolgoprudnyi 141701, Moscow Region
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