The period of a classical oscillator

TL;DR

This paper introduces a straightforward analytical method, inspired by Linear Delta Expansion, to approximate the period of particles in various potentials, providing precise formulas applicable to many cases.

Contribution

A novel simple method inspired by LDE for deriving accurate approximate formulas for the period of classical oscillators in diverse potentials.

Findings

The method yields highly accurate period approximations.

Applicable to a wide class of potentials.

Provides explicit formulas for the oscillation period.

Abstract

We develop a simple method to obtain approximate analytical expressions for the period of a particle moving in a given potential. The method is inspired to the Linear Delta Expansion (LDE) and it is applied to a large class of potentials. Precise formulas for the period are obtained.