Turning points of the spherical pendulum and the golden ratio
2009 (English)In: European journal of physics, ISSN 0143-0807, E-ISSN 1361-6404, Vol. 30, no 2, 427-432 p.Article in journal (Refereed) Published
We study the turning point problem of a spherical pendulum. The special cases of the simple pendulum and the conical pendulum are noted. For simple initial conditions the solution to this problem involves the golden ratio, also called the golden section, or the golden number. This number often appears in mathematics where you least expect it. To put our result in perspective we briefly discuss its relevance in physics.
Place, publisher, year, edition, pages
2009. Vol. 30, no 2, 427-432 p.
IdentifiersURN: urn:nbn:se:kth:diva-18207DOI: 10.1088/0143-0807/30/2/021ISI: 000263675800021ScopusID: 2-s2.0-63449092468OAI: oai:DiVA.org:kth-18207DiVA: diva2:336253
QC 201005252010-08-052010-08-052011-01-19Bibliographically approved