Testing the Newton second law in the regime of small accelerations

TL;DR

This paper discusses testing Newton's second law in very small acceleration regimes using Earth's movement around the Galactic center, proposing an alternative setup for broader experimental feasibility.

Contribution

It introduces an alternative experimental setup enabling testing of Newton's second law at small accelerations from any location and time on Earth.

Findings

Identification of two optimal periods for testing based on Earth's position.

Proposal of a new experimental method for broader applicability.

Potential to validate Newton's law in low-acceleration regimes.

Abstract

It has been pointed out that the Newtonian second law can be tested in the very small acceleration regime by using the combined movement of the Earth and Sun around the Galactic center of mass. It has been shown that there are only two brief intervals during the year in which the experiment can be completed, which correspond to only two specific spots on the Earth surface. An alternative experimental setup is presented to allow the measurement to be made on Earth at any location and at any time.