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arXiv · 2610.03737

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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Alin-Doru Aluas, Valerian-Alin Fodor, Virgilius-Aurelian Minuta. 2026-09-18. Short-term solar eclipse predictions using Euclidean geometry and dynamical systems. https://arxiv.org/abs/2610.03737

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