Nonlocal description of a falling body through the air

TL;DR

This paper models a falling body through air using a nonlocal dissipative force with an exponential memory kernel, successfully fitting experimental free fall data of six men and comparing it to local force models.

Contribution

It introduces a nonlocal dissipative force model with an exponential memory kernel to describe free fall, providing a new approach that matches experimental data.

Findings

Nonlocal model fits experimental data as well as local models.

Exponential memory kernel effectively describes dissipative forces.

Model offers a novel perspective on dissipative forces in free fall.

Abstract

In this present work we consider a falling body through the air under the influence of gravity. In particular, we consider the experimental data based upon the free fall of six men in the atmosphere of the earth. In order to describe this process we employ a nonlocal dissipative force. We show that our description, by using an exponential memory kernel, can fit the experimental data as well as that of a local dissipative force.