Huygens synchronization of two pendulum clocks

TL;DR

This paper presents a model explaining how two pendulum clocks synchronize in phase opposition when hung from a wall, supported by experimental validation, highlighting a specific synchronization phenomenon observed since the 17th century.

Contribution

The paper introduces a new model for Huygens synchronization of pendulum clocks hung from a wall, distinct from previous models involving moveable bases, and validates it experimentally.

Findings

Model accurately predicts phase opposition synchronization.

Experimental results confirm the model's validity.

Synchronization behavior observed matches theoretical predictions.

Abstract

The synchronization of two pendulum clocks hanging from a wall was first observed by Huygens during the XVII century. This type of synchronization is observed in other areas, and is fundamentally different from the problem of two clocks hanging from a moveable base. We present a model explaining the phase opposition synchronization of two pendulum clocks in those conditions. The predicted behavior is observed experimentally, validating the model.