Power series solution to the pendulum equation
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°.
Keywords: pendulum equation; power series solution; simple pendulum
Document Type: Research Article
Affiliations: Faculty of Natural Sciences, Department of Informatics, Constantine the Philosopher University, SK-94974 Nitra, Slovakia
Publication date: 01 February 2009
- Editorial Board
- Information for Authors
- Subscribe to this Title
- Ingenta Connect is not responsible for the content or availability of external websites
- Access Key
- Free content
- Partial Free content
- New content
- Open access content
- Partial Open access content
- Subscribed content
- Partial Subscribed content
- Free trial content