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Numerical analysis of grasshopper escapement
1Institute of Mathematics and Physics, UTP University of Science and Technology, Aleje Prof. S. Kaliskiego 7, 85-789 Bydgoszcz, Poland.
Abstract:
The dynamics of a driven, damped pendulum as used in mechanical clocks is numerically investigated. In addition to the analysis of well-known mechanisms such as chronometer escapement, the unusual properties of Harrison's grasshopper escapement are explored, giving some insights regarding the dynamics of this system. Both the steady-state operation and transient effects are discussed, indicating the optimal condition for stable long-term clock accuracy. The possibility of chaotic motion is investigated.

