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Double Pendulum Playground\n\n![Double Pendulum](https://user-images.githubusercontent.com/17960677/138047613-f9b5dbc2-9b0a-4f6f-8ae7-9b01784431a7.png)\n\n\u003e Interactive Double Pendulum Playground Using SVG\n\n a double pendulum is a pendulum with another pendulum attached to its end, is a simple physical system that exhibits rich dynamic behavior with a strong sensitivity to initial conditions.\n \n The motion of a double pendulum is governed by a set of coupled ordinary differential equations and is chaotic.\n\n\u003ctable class=\"fraction\"\u003e\n  \u003ctbody\u003e\n    \u003ctr\u003e\n      \u003ctd rowspan=\"2\"\u003e\u003ci\u003eθ\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e''\u0026nbsp;=\u0026nbsp;\u003c/td\u003e\n      \u003ctd\u003e\n        −\u003ci\u003eg\u003c/i\u003e (2 \u003ci\u003em\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e + \u003ci\u003em\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e) sin \u003ci\u003eθ\u003c/i\n        \u003e\u003csub\u003e1\u003c/sub\u003e − \u003ci\u003em\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e \u003ci\u003eg\u003c/i\u003e sin(\u003ci\u003eθ\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e −\n        2 \u003ci\u003eθ\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e) − 2 sin(\u003ci\u003eθ\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e − \u003ci\u003eθ\u003c/i\n        \u003e\u003csub\u003e2\u003c/sub\u003e) \u003ci\u003em\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e (\u003ci\u003eθ\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e'\u003csup\u003e2\u003c/sup\u003e\n        \u003ci\u003eL\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e + \u003ci\u003eθ\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e'\u003csup\u003e2\u003c/sup\u003e \u003ci\u003eL\u003c/i\n        \u003e\u003csub\u003e1\u003c/sub\u003e cos(\u003ci\u003eθ\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e − \u003ci\u003eθ\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e))\n      \u003c/td\u003e\n    \u003c/tr\u003e\n    \u003ctr\u003e\n      \u003ctd class=\"upper_line\"\u003e\n        \u003ci\u003eL\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e (2 \u003ci\u003em\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e + \u003ci\u003em\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e −\n        \u003ci\u003em\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e cos(2 \u003ci\u003eθ\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e − 2 \u003ci\u003eθ\u003c/i\n        \u003e\u003csub\u003e2\u003c/sub\u003e))\n      \u003c/td\u003e\n    \u003c/tr\u003e\n  \u003c/tbody\u003e\n\u003c/table\u003e\n\n\u003ctable class=\"fraction\"\u003e\n  \u003ctbody\u003e\n    \u003ctr\u003e\n      \u003ctd rowspan=\"2\"\u003e\u003ci\u003eθ\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e''\u0026nbsp;=\u0026nbsp;\u003c/td\u003e\n      \u003ctd\u003e\n        2 sin(\u003ci\u003eθ\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e − \u003ci\u003eθ\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e) (\u003ci\u003eθ\u003c/i\n        \u003e\u003csub\u003e1\u003c/sub\u003e'\u003csup\u003e2\u003c/sup\u003e \u003ci\u003eL\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e (\u003ci\u003em\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e +\n        \u003ci\u003em\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e) + \u003ci\u003eg\u003c/i\u003e(\u003ci\u003em\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e + \u003ci\u003em\u003c/i\n        \u003e\u003csub\u003e2\u003c/sub\u003e) cos \u003ci\u003eθ\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e + \u003ci\u003eθ\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e'\u003csup\n          \u003e2\u003c/sup\n        \u003e\n        \u003ci\u003eL\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e \u003ci\u003em\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e cos(\u003ci\u003eθ\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e −\n        \u003ci\u003eθ\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e))\n      \u003c/td\u003e\n    \u003c/tr\u003e\n    \u003ctr\u003e\n      \u003ctd class=\"upper_line\"\u003e\n        \u003ci\u003eL\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e (2 \u003ci\u003em\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e + \u003ci\u003em\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e −\n        \u003ci\u003em\u003c/i\u003e\u003csub\u003e2\u003c/sub\u003e cos(2 \u003ci\u003eθ\u003c/i\u003e\u003csub\u003e1\u003c/sub\u003e − 2 \u003ci\u003eθ\u003c/i\n        \u003e\u003csub\u003e2\u003c/sub\u003e))\n      \u003c/td\u003e\n    \u003c/tr\u003e\n  \u003c/tbody\u003e\n\u003c/table\u003e\n\n## How To Use?\n\n[theabbie.github.io/DoublePendulum](https://theabbie.github.io/DoublePendulum/)\n\n![Double Penndulum Tutorial](https://user-images.githubusercontent.com/17960677/138050127-86bf25fb-267f-4f6a-ba97-b26eef8eaed4.gif)\n\n## Contributing\n\nThank you for your interest in contributing, If you feel like there's something missing or any new feature can be added, just create a PR and I will see the rest.\n\n## Help\n\nYou can contact me on social media, Everything about me can be found [here](https://theabbie.github.io)\n\n## Contact\n\nContact me anywhere, just visit [my portfolio](https://theabbie.github.io)\n\n## License\n\nThis project is licensed under MIT License, See [LICENSE](/LICENSE) for more information","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Ftheabbie%2Fdoublependulum","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Ftheabbie%2Fdoublependulum","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Ftheabbie%2Fdoublependulum/lists"}