TY - JOUR
T1 - An analytical approximation of a pendulum trajectory
AU - Salinas-Hernández, E.
AU - Ares De Parga, G.
AU - Domínguez-Hernández, S.
AU - Muñoz-Vega, R.
PY - 2014
Y1 - 2014
N2 - An analytical approximation of a pendulum trajectory is developed for large initial angles. Instead of using a perturbation method, a succession of just two polynomials is used in order to get simple integrals. By obtaining the approximated period, the result is compared with the Kidd-Frogg and Hite formulas for the period which are very close to the exact solution for the considered angle.
AB - An analytical approximation of a pendulum trajectory is developed for large initial angles. Instead of using a perturbation method, a succession of just two polynomials is used in order to get simple integrals. By obtaining the approximated period, the result is compared with the Kidd-Frogg and Hite formulas for the period which are very close to the exact solution for the considered angle.
KW - Approximation Solutions
KW - Classical Mechanics
KW - Pendulum
KW - Period
KW - Polynomial
UR - http://www.scopus.com/inward/record.url?scp=84939532096&partnerID=8YFLogxK
U2 - 10.1088/0143-0807/35/4/045027
DO - 10.1088/0143-0807/35/4/045027
M3 - Artículo
SN - 0143-0807
VL - 35
JO - European Journal of Physics
JF - European Journal of Physics
IS - 4
M1 - 045027
ER -