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Earth Science · Astronomy & Space

Solar and lunar eclipses and orbital inclination

Eclipses occur when the Sun, Earth, and Moon align appropriately. Because the lunar orbit is tilted, eclipses do not occur at every new or full moon.

Related experiment: Solar and lunar eclipses and orbital inclination →
Solar and lunar eclipses and orbital inclination
Solar and lunar eclipses and orbital inclination: simulation view →

Meaning and mechanism

A solar eclipse occurs when the Moon blocks sunlight, while a lunar eclipse occurs when the Moon enters Earth’s shadow. They are possible near new moon and full moon, respectively.

The Moon’s orbital plane is tilted relative to the Earth’s orbital plane. When the Moon is at the intersection points of its orbital plane, it is offset relative to the Sun and Earth, and no eclipses occur.

Relationships and conditions

Check both the phase condition, new or full moon, and the position condition, proximity to an orbital node. The precision of alignment determines whether an eclipse is total, partial, or another type.

The limitations of the angle and size of the diagram used for the experiment are approximations for illustrative purposes. For actual calculations, it is necessary to use more precise orbital and celestial size data, including the actual dates, visibility regions, and durations.

What to observe in the simulation

A ceremony can only be created when the conditions of arrangement of sac and net and that it is near the intersection meet together.

The eclipse thresholds 1.5° and 1.0° are educational approximations. The model assumes a 29.53059-day synodic month, a 365.25-day year, fixed orbital nodes, and circular orbits. One year covers 0≤t<365.25 days and includes the starting new moon. Umbra, penumbra, sizes, and distances are shown at illustrative scales. The model does not predict actual eclipse dates, visibility from the ground, or whether an eclipse is total.

Key relationships and symbols

Line: |β|≤about 1.5° · Network: |β|≤about 1.0°

Symbols and units used in the formulas
SymbolMeaningUnit
βThe angles related to the position of the Moon relative to its orbital plane.°
IntersectionDirection of intersection of the lunar orbital plane and reference planeDirection

Worked example

With zero orbital inclination, how often do eclipses occur in this simplified model?

A solar eclipse is possible in a eclipse when the moon blocks the sun, and a lunar eclipse is possible in a eclipse when the moon passes through the Earth's shadow. If there is an inclination, most of the time it deviates above or below the ecliptic.

Common misconceptions

  • It is not necessarily the case that a lunar eclipse occurs every time a full moon appears.

Explore this concept through experiments

References

OpenStax · Solar and Lunar Eclipses (English)