Double_pendulum_flip_time_2021.png

Summary

Description Double pendulum flip time 2021.png	English: This image is an update of this chart ( File:Double_pendulum_flips_graph.png ). In higher resolution an a different color scheme. Explanation: The x and y directions represents the angles that a double pendulum consisting of two uniform bars of same length and mass makes with the vertical direction, being the center of the image 0º and the extremities +- 179.9º. Both bars are initially with zero velocity. The color represents the time (in units of ${\sqrt {l/g}}$ ) that it takes for one of the two pendulums to flip, being black less than 1 unit of time, from red to violet it ranges in a logarithm sacel from 1 to 10000 units of time. White means no flip was observed within 10000 units of time. Calculations Details: The calculations were done using an 8th order Runge-Kutta-Fehlberg embedded with a 7th order method. Tolerance was set to $10^{-10}$ for the maximum absolute value of all four components of the phase space. To give an idea this resulted in an average time step of 0.025 units of time.
Date	13 May 2021
Source	Own work
Author	FurtadoG

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