The Gemara in Succah 29a says that solar eclipses are bad omens for the nations, while lunar eclipses are bad omens for the Jews. The Gemara compares an eclipse to a king who leaves his guests sitting in the dark: not everyone can be left in the dark during an eclipse, as the eclipse cannot cover the entire Earth at once.
Does this apply to all eclipses? Perhaps a total eclipse is a worse sign than a partial, like a king turning off the lights versus dimming them?
What about the location? For instance, this August's solar eclipse crosses the continental US. Does that mean Americans should be worried, while Europeans are okay? In fact, it's impossible for the King to leave everyone in darkness if He abides by the laws of astrophysics: the moon has to be directly between the viewer and the sun, and the necessary angle changes based on where one stands.