Yes there are. Glen Larson (producer and creator) is a member of The Church of Jesus Christ Latter-day Saints, hereafter referred to as the "Mormon" or Latter-day Saint (LDS) church. Some of the ideas in Galactica are unmistakably Mormon in origin.
1. In Battlestar Galactica, twelve tribes of man founded the Twelve Colonies after departing from Kobol. A lost thirteenth colony colonized Earth. In The Book of Mormon, around 600 BC, the prophet Lehi took a remnant of the tribe of Joseph from Jerusalem to ancient America, during the time of the Babylonian captivity and the scattering of the twelve tribes of Israel.
2. In "Lost Planet of the Gods", it is revealed that the mankind originated on Kobol, the mother world of all humans. Kobol is a rearranging of the word Kolob, which is the star "nearest unto the throne of God" (see The Book of Abraham, Ch. 3, found in The Pearl of Great Price.) The "Star Kobol" was also the ship on which armistice talks between the Colonials and the Cylons were held.
3. The episode "War of the Gods", with starred Count Iblis and the Ship of Lights, introduces viewers to various elements of LDS teachings. The universe is under the law of Free Agency: "We cannot interfere with freedom of choice. His, yours, anyone's." Even Count Iblis (Satan) is bound by these laws, for he has only control over those who had "freely given him dominion." Those who accepted Iblis' words were willing to follow him blindly provided he guaranteed their safety. According to the Mormon account of creation (The Book of Moses, Ch. 4, found in The Pearl Of Great Price), one of the reasons God cast Satan out of heaven was because he "sought to destroy the agency of man."
4. The beings on the Ship of Lights are highly evolved brothers of man, and may also have founded Kobol. The phrase "As you are now, we once were; as we are now, you may become" is a rewording of a quote from Lorenzo Snow: "As man is, God once was; as God is, man may become." This is an important component of the doctrine of Eternal Progression. According to LDS beliefs, all humans are children of God, who is Himself an exalted man. By following God's laws, a believer can enter the path to godhood.
5. In their sealing ceremony, Adama sealed Apollo and Serina with these words: "A union between this man and this woman not only for now but for all the eternities." In a Latter-day Saint temple marriage, a couple is sealed for "time and all eternity."
6. There is a similarity in the political structures of the Colonies and the Latter-day Saint church. Both bodies have a Council (or Quorum) of the Twelve, and a President.
7. In the Galactica 1980 episode "The Super Scouts", Dillon uses the phrase "The glory of the universe is intelligence," a rewording of a passage in Doctrines and Covenants #93: "The glory of God is intelligence, or, in other words, light and truth." In Experiment in Terra, aboard the Ship of Lights, the "angel" John tells Apollo "I have no physical body, as you know it." Apollo, pointing to John's "body", asks him "What do you call that?" "A reflection of intelligence. My spirit, if you will." Later on in "The Super Scouts", Dillon remarked that he was admiring "this choice land." This is a variation of the Book of Mormon description of the Americas "This land is choice above all other lands" (1 Nephi, Ch. 2. et al.)
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