The Jovian moons.
Galileo had little evidence for the heliocentric theory, which was later (in the 18th century) generally accepted as correct after the laws of motion and the law of gravity showed that the Sun is by far the most massive object in the solar system and therefore must be at the centre.
Galileo did not have the other major piece of evidence supporting the heliocentric theory, which is the parallax shown by relatively close stars as the Earth moves round its orbit. Parallax is extremely small and was impossible to observe in Galileo's time, and this was used to support the idea that the Earth is at the centre. Bessel made the first measurements of parallax in the 19th century.
Galileo developed the telescope, which allowed him to observe celestial bodies such as the moons of Jupiter and the phases of Venus. These observations provided evidence to support the heliocentric theory proposed by Copernicus.
Galileo did not propose a heliocentric theory, he agreed with Copernicus and his heliocentric theory. The Catholic church, at the time, disagreed and they held a huge amount of power and put him on trial.
Galileo Galilei is the astronomer who is credited with inventing the telescope and using it to support the heliocentric theory proposed by Copernicus. He observed the moons of Jupiter, sunspots, and phases of Venus, providing evidence for a Sun-centered solar system.
improving the heliocentric theory
He was an Italian scientist of the 17th century. He did not prove the heliocentric theory. But everyone accepts the heliocentric principle now, after it was proved right; but that happened long after Galileo's time, after new scientific discoveries in the latter half of the 1600s.
Galileo's observations with his telescope supported the concept of heliocentricism. He noted that the satellites of Jupiter and Venus, based on their range of phases, did not match geocentricism supported by Ptolemy. He noted that based on these findings, that the Heliocentric theory was correct.
Copernicus discovered the heliocentric theory in 1510 and worked on it for four more years.
Galileo Galilei . He only helped support the theory through his observations , he didn't invent the model, Copernicus did.
The Bible is written from an implicitly geocentric viewpoint, so if we take the Bible as the ultimate authority on everything, then it would be wrong to come to other conclusions such as the heliocentric theory, merely by observing the way the universe actually is. Incidentally, although Galileo did support the heliocentric theory, it was originally proposed by Copernicus. It isn't Galileo's model. Galileo did contribute to this theory with his astronomical observations, however.
Galileo challenged church teachings by saying that the heliocentric model of the universe was trueThe Catholic Church charged him with heresy. Due to his support of the heliocentric or sun centered theory. Which directly opposed the Church accepted theory that the sun and planets revolved around the earth.
Church officials believed the theory contradicted current religious teachings
It's called the heliocentric theory (helios is sun) but it was not a fully fledged theory until well after Galileo's time.