Re: [Phys-L] physical significance of the arithmetic-geometric mean

["Zani, Gerald" <gerald_zani@brown.edu>]

Citations about the arithmetic-geometric mean agm and the simple pendulum:

A Forgotten Simple Pendulum Period Equation. By Peter F. Hinrichsen. TPT
59, 646–647 (2021)

N. Holmes and C. Wieman,“Introductory physics labs: We can do better,”
Phys. Today 71 (1), 38 (2018).

Peter F. Hinrichsen, “Review of approximate equations for the pendulum
period,” Eur. J. Phys. 42, 015005 (2020).

Harry H. Denman, “Amplitude-dependence of frequency in a linear
approximation to the simple pendulum equation,” Am. J. Phys. 27, 524–525
(July 1959).

Herbert Goldstein, Classical Mechanics, 2nd ed. (Addison-Wesley Publishing
Company, New York, 1980).

Herman Erlichson, “Galileo’s pendulum,” Phys. Teach. 37, 478–479 (Nov.
1999).


-- 
Gerald Zani
Senior Engineering Technician
Brown University School of Engineering
(401) 863-9571