Solar System Scale & Shadow Cone
1. Syzygy (Linear Collinearity)
An eclipse can only occur when the Sun, Earth, and Moon form a straight line in three-dimensional space, known as syzygy. When the Moon stands between Sun and Earth, it is a Solar Eclipse (New Moon). When Earth stands between Sun and Moon, it is a Lunar Eclipse (Full Moon).
2. The 5.14° Orbital Inclination
The Moon does not orbit in Earth's orbital plane (the ecliptic). Its orbital plane is tilted by approximately 5.14°. The two points where the paths intersect are called "nodes". An eclipse can only happen during an "eclipse season" when New or Full Moon coincides with a nodal crossing.
3. Umbra, Penumbra & Antumbra
Because the Sun is an extended light source rather than a point, bodies cast three shadow zones: the dark Umbra (total occlusion), the wider Penumbra (partial occlusion), and the Antumbra beyond the umbral vertex where the Moon appears smaller than the Sun, yielding an Annular Eclipse.