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PreprintCC BY 4.0arXiv

Planar Pendulums in Complex Coordinates

Abstract

By exploiting complex coordinates and elementwise matrix products, a single and simple differential equation is derived that describes the motion of every multi-arm planar pendulum.

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BibTeX
@misc{meinsma2026planar,
  title = {{Planar Pendulums in Complex Coordinates}},
  author = {Gjerrit Meinsma},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.15448},
  eprint = {2609.15448},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.15448},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Planar Pendulums in Complex Coordinates
AU  - Gjerrit Meinsma
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.15448
UR  - https://arxiv.org/abs/2609.15448
AB  - By exploiting complex coordinates and elementwise matrix products, a single and simple differential equation is derived that describes the motion of every multi-arm planar pendulum.
ER  -