Power series solution to the pendulum equation

• Autores: Jan Benacka
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 40, Nº. 8, 2009, págs. 1109-1117
• Idioma: inglés
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• Resumen

  • This note gives a power series solution to the pendulum equation that enables to investigate the system in an analytical way only, i.e. to avoid numeric methods. A method of determining the number of the terms for getting a required relative error is presented that uses bigger and lesser geometric series. The solution is suitable for modelling the motion in spreadsheets up to the amplitude of 90°.