Solar Eclipses and Their Direction

Jul 14, 2024

Lecture Notes: Why Solar Eclipses Move from West to East

Introduction

  • Standard celestial movement:
    • Sun, Moon, and stars rise in the east.
  • Eclipse anomalies:
    • Some solar eclipses (e.g., April 2024, August 2027) move from west to east.
    • Rare instances near poles have complex paths.

Causes of Eclipse Paths

  • Rotational Speed vs. Linear Speed:
    • Sun & Moon paths are influenced by rotational speed.
    • Eclipse paths depend on the moon's straight-line speed.

Earth's and Moon's Movements

  • From the North Pole perspective:
    • Earth and Moon rotate counterclockwise (towards the east).
  • Moon's Path:
    • Determined by Earth's rotation & sight line.
    • Appears to rise in the east and set in the west due to Earth rotation.
  • Eclipse Path:
    • Determined by the Moon's shadow location on Earth.
    • Moon travels east at ~2000 mph.
    • Earth's surface moves east slower (~1000 mph at the equator).
    • Moon's shadow outpaces Earth's motion, making eclipses appear west-to-east.

Speed and Distance Considerations

  • Distance and Time:
    • Earth’s diameter: ~8000 miles.
    • Moon crosses Earth in ~3.5 hours.
    • Earth’s surface takes 12 hours to rotate halfway.
  • Relative Speeds:
    • Moon’s orbital journey: ~1.5 million miles per month (~2000 mph).
    • Equator point journey: ~25,000 miles/day (~1000 mph).

Theoretical Changes

  • Relative Sizes:
    • If Earth were bigger or Moon closer, eclipse directions might change.
    • Adjusting Earth and Moon sizes could lead to a mix of directions for eclipse paths.

Polar Eclipse Anomalies

  • Tilted Axis and Night-Time Effects:
    • Earth's tilt causes Moon’s shadow to hit night-time areas.
    • This can create west-moving eclipses at poles.
  • Visualizing with Google Earth:
    • Drawing arrows for eclipse paths shows complex trajectories.
    • Tilted Earth during spring and fall helps understand curvy eclipse paths.

Conclusion

  • Main takeaway: Moon orbits east slower than Earth rotates day-wise (a month vs. a day), but travels east faster speed-wise.
  • This faster eastward speed of the Moon determines the west-to-east movement of eclipses.