The Galactic Center of the Milky Way is located approximately 25,900 light years from the solar system and has a mass of 4.31 million solar masses. The Sun does not follow a Keplerian orbit around this center due to the significant mass of the galaxy, which totals around 580 billion solar masses. Instead, the Sun's orbit is influenced by the combined gravitational effects of the entire galaxy. Key vectors of interest include the velocity of the Sun and its radius from the singularity, both measured in the reference frame of the supermassive black hole at the Galactic Center.
PREREQUISITESAstronomers, astrophysicists, and students of celestial mechanics interested in the dynamics of the Milky Way Galaxy and the behavior of stars in its gravitational field.
The solar system does not follow a Keplerian path (i.e., conic section) about the galaxy. Keplerian orbits arise in system comprising a single large central mass with all other objects having inconsequential mass. While the galaxy does have a large central mass, the mass of that singularity (~4.1 million solar masses) is but a small fraction of the total mass of the galaxy (~580 billion solar masses).Philosophaie said:I would like the orbit the Sun makes around the galactic center of the Milky Way Galaxy! All I need is just two vectors: the velocity of the Sun in the reference frame of the singularity and the radius of the Sun to the singularity in the reference frame of the singularity.