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Short-term solar eclipse predictions using Euclidean geometry and dynamical systems

  • Alin-Doru Aluas
  • Valerian-Alin Fodor
  • Virgilius-Aurelian Minuta
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Abstract

We propose a computationally inexpensive algorithm to determine whether an opaque spherical body eclipses a luminous one, using only classical geometrical tools. We apply this method to the Sun-Earth-Moon system and predict solar eclipses, including their type, beginning, and duration, using the three-body problem. For predictions over a one-year period, the resulting errors are in the order of minutes.

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Cite

BibTeXRIS
BibTeX
@misc{aluas2026shortterm,
  title = {{Short-term solar eclipse predictions using Euclidean geometry and dynamical systems}},
  author = {Alin-Doru Aluas and Valerian-Alin Fodor and Virgilius-Aurelian Minuta},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.03737},
  eprint = {2610.03737},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.03737},
}
RIS
TY  - UNPB
TI  - Short-term solar eclipse predictions using Euclidean geometry and dynamical systems
AU  - Alin-Doru Aluas
AU  - Valerian-Alin Fodor
AU  - Virgilius-Aurelian Minuta
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.03737
UR  - https://arxiv.org/abs/2610.03737
AB  - We propose a computationally inexpensive algorithm to determine whether an opaque spherical body eclipses a luminous one, using only classical geometrical tools. We apply this method to the Sun-Earth-Moon system and predict solar eclipses, including their type, beginning, and duration, using the three-body problem. For predictions over a one-year period, the resulting errors are in the order of minutes.
ER  -