Copernicus
I believe you are confusing two things here; there is no such thing as a "heliocentric model of telescope". There is a heliocentric model of our Solar System, and there are telescopes. The two are unrelated.
The heliocentric theory is the idea that planets rotate around the sun, where the geocentric theory said that everything orbited around Earth.
Copernicus's Sun-centred (heliocentric) model of the planets' orbits used circles and epicycles, as the Ptolemaic model had done although the older model had the Earth at the centre. Kepler took the heliocentric idea and used it as the basis for extended calculations on the orbit Mars using new observations and measurements of unprecedented accuracy by his employer, Tycho Brahe. Mars's orbit had just enough eccentricity (9%) to allow a difference to show up between the earlier model and Kepler's new discovery of eliptical orbits. Kepler also found that the other planets had elliptical obits, but the eccentricity was lower. He developed his three laws of planetary motion now known as Kepler's laws.
Its main strength is that it is the model which is universally accepted by everyone. Copernicus put forward a heliocentric model that used circular orbits. That meant he couldn't completely eliminate all the complications of the old geocentric model, such as "epicycles". Later Kepler showed that the planets move in elliptical orbits. The basic idea of the heliocentric model is that the Sun is at the centre. One of the main strengths is the simplicity of the heliocentric model. Kepler's version (still used today) of the model with its elliptical orbits is particularly elegant and simple, with no epicycles.
No. He only came with the idea of a heliocentric model. (Sun-centred) He also stated that the Earth orbited around it.
Aristarchus's heliocentric model was not accepted in ancient times because it challenged the prevailing geocentric view that Earth was at the center of the universe. The lack of evidence and the influence of established beliefs hindered the acceptance of his revolutionary idea.
The current model of the solar system was first conceived by Nicolaus Copernicus, but the idea of a heliocentric solar system was known to the Greeks of antiquity.
He had the idea of a heliocentric model (everything revolved around the earth) which was obviously wrong. He also noticed that planets travelled in ellipses.
Nicolaus Copernicus is the astronomer who proposed the heliocentric model of the solar system in which the Earth and other planets revolve around the Sun. His work "De revolutionibus orbium coelestium" was published in 1543.
The heliocentric idea, with the Sun at the centre, was part of a prediction model using circles and epicycles devised by Copernicus, called the heliocentric model. The heliocentric idea was adopted by Kepler in his work that led to the discovery of Kepler's laws of planetary motion. It was also used by Galileo in a famous dispute with the Catholic church which was not about to change its ideas without adequate evidence. The evidence came after Galileo's time when Newton made the necessary theoretical discoveries to understand the way the Sun's gravity produces planets' orbits. Since then everyone believes that the Sun is at the centre.
Scientists such as Nicolaus Copernicus and Galileo Galilei developed ideas that contradicted Ptolemy's geocentric model of the universe. Copernicus proposed a heliocentric model with the sun at the center, while Galileo's observations through a telescope supported this idea, leading to the eventual acceptance of the heliocentric model.
The heliocentric model of the solar system was formulated by ancient Greek astronomer Aristarchus of Samos in the 3rd century BCE. He proposed that the Earth and other planets revolve around the Sun, challenging the prevailing geocentric model. This idea was later developed by Copernicus in the 16th century.