What is the relationship between Lucifer and Satan?

Lucifer and Satan are both familiar leaders of the underworld, and regarding their relationship, Satan is an ancient snake, while Lucifer is a star, and there is no direct relationship between them.

Satan is regarded as a great god, and darkness is only the giver. In the Garden of Eden, Satan lured Eve to eat the fruit of wisdom, which was regarded as giving knowledge. Satan has endowed mankind with knowledge, enabled mankind to have thinking ability, understood right and wrong, good and evil, and made mankind know the world in real life. (Satanism)

After the rise of Christianity, Satan has become an out-and-out demon. He is not only free to do evil, but also unscrupulous. At the end of the world, he will be defeated by the Lord through Adam's body and then thrown into eternal hell.

The ugliness of Satan in the Bible is more prominent than that of Lucifer. Its original image is probably the blazing angel Metatron in Judaism. There are 36 wings on his back, and he has a series of titles such as "angel of creation", "king of heavenly armies", "little Lord", "angel of contract" and "creator of all things", but his high status will directly affect the position of Christian leader Christ Jesus. Therefore, there is no record of his identity in the Christian Bible. Instead, it was the fall of Lucifer, which was similar in position to Lucifer, meaning the fall of Metatron.