The physical approach on the surfaces of rotation in E24

TL;DR

This paper investigates the physical expressions of specific energy and angular momentum on surfaces of rotation using Clairaut's theorem, focusing on geodesic conditions for time-like curves.

Contribution

It introduces a physical framework for analyzing surfaces of rotation by applying Clairaut's theorem to geodesic curves, emphasizing specific energy and angular momentum.

Findings

Derived expressions for specific energy and angular momentum on surfaces of rotation.

Established conditions under which these expressions are valid for time-like geodesic curves.

Provided insights into the physical properties of rotating surfaces in a geometric context.

Abstract

In this paper, some physical expressions as the specific energy and the specific angular momentum on these surfaces of rotation are investigated with the help of Clairaut's theorem using the conditions being geodesic in which the curves can be chosen to be time-like curves, which allows us to constitute the specific energy and specific angular momentum