In Greek Mythology:
* The Sun God: Apollo is most famously known as the god of the sun, light, music, poetry, prophecy, healing, and the arts. He is often depicted with a lyre and a bow and arrow, symbolizing his musical talents and his role as a protector.
* Music and Poetry: As the god of music, he inspires poets, musicians, and artists, and is said to be the patron of the arts. He also plays a key role in the development of music and poetry, being the inventor of the lyre.
* Prophecy and Healing: Apollo is also the god of prophecy, and his oracle at Delphi was one of the most important religious centers in ancient Greece. He is also associated with healing, as his son Asclepius was the god of medicine.
* Protection and Justice: Apollo is also a warrior god, and is often depicted with a bow and arrow, representing his role as a protector. He is also said to punish those who break the law or disrespect the gods.
In Modern Context:
* The Apollo Space Program: NASA named its manned space program "Apollo" in honor of the Greek god. This program achieved the landmark goal of landing humans on the moon.
Therefore, the specific responsibilities of Apollo depend on the context in which he is being discussed.