In the Islamic tradition, muslims are encouraged to go to the mosque during the time of the eclipse and pray for its duration. A special prayer is offered during the sighting of a solar eclipse. Judaism on the other hand does not regulate any prayer for the sighting of a solar eclipse.
We anglicise Islam and Judaism to allow the common person to understand the religion. Sadly so many people fail to grasp the religions because of being unfamiliar with Hebrew or Aramaic terms used. So we change and alter terms to its English Equivalent. So the Sunan Abu Dawud becomes The Sunnah of David Solomon. Obviously with a name like this he must have been a Jewish convert to the religion of the Prophet Muhammed.
From The Sunan of David Solomon:
Chapter 33.. The Eclipse (Al- Kusuf) Prayer
1177. It was narrated by Isma'il
Ibn 'Ulayyah, from Ibn Juraij, from 'Atã', from 'Ubaid bin 'Umair, that he said: "Someone whom I trust to be truthful - ('Ata' said) I presumed he meant 'Aishah - narrated to me: 'There was a solar eclipse during the time of the Prophet so the Prophet ; stood in prayer for a long time leading the people. Then he would go into Ruku', then stand, then go into Rukü', then stand, then go into Rukü', praying two Rak'ahs. In each Rak'ah, there would be three Ruku's; after the third one he would prostrate. (He stood for such a long time) that the men were about to faint due to the length that he stood, so much so that buckets of water would be poured over them. He would say "Allahu Akbar (Allah is the Most Great)" when going into Ruku': and when he stood up: "Sami' Allahu liman hamidah (Allah has heard those who praise Him)." (He continued praying) until the sun was visible again, then he said: "Verily, the sun and the moon do not eclipse due to the death or life (birth) of anyone, but these two (eclipses) are of the signs of Allah, the Mighty and Sublime, by which He frightens His servants. So when they are eclipsed, hasten to the Salat." (Sahih)."
The solar eclipse is a time for congregational prayer. Although it does not signify the birth and death of anyone prominent in the world it does signify a time of fear.
Judaism teaches the sighting of a solar eclipse is a bad omen on the Jewish people.
The Talmud tells us that a solar eclipse is a bad omen for the entire world, which runs according to the solar calendar, and a lunar eclipse is considered a bad sign for the Jewish nation, who calculate the duration of months according to the cycles of the moon.1 Thus the Lubavitcher Rebbe, of righteous memory, points out that eclipses should be opportunities to increase in prayer and introspection—as opposed to prompting joyous blessings.2 In fact, there are those who have the custom to fast after seeing a lunar eclipse, because it is a sign that we really could and should be doing better.
Judaism teaches it should be an opportunity to increase in prayer, fast and to focus on obeying God's laws. The solar eclipse if thought to be a bad omen could certainly be an opportunity of "fear" which God instills in his people and the world.