Testing the Newton law at long distances

TL;DR

This paper reviews experimental constraints on Newton's law across various distance scales, highlighting the potential for deviations at very short and very long ranges, and discusses the Pioneer anomaly in this context.

Contribution

It explores the connection between long-range tests of gravity and the Pioneer anomaly, emphasizing unexplored windows for deviations beyond current experimental limits.

Findings

Stringent constraints on deviations from Newton's law at millimeter to planetary scales.

Potential deviations at sub-millimeter and solar system scales remain open for investigation.

Discussion of the Pioneer anomaly as a possible indication of long-range gravitational effects.

Abstract

Experimental tests of Newton law put stringent constraints on potential deviations from standard theory with ranges from the millimeter to the size of planetary orbits. Windows however remain open for short range deviations, below the millimeter, as well as long range ones, of the order of or larger than the size of the solar system. We discuss here the relation between long range tests of the Newton law and the anomaly recorded on Pioneer 10/11 probes.