If the Milky Way were to double in mass, what would the Sun's velocity be?

Name: Problem 2, Chapter 73: Pathways to Astronomy
Uploaded: 2023-06-22T16:56:07-08:00
Duration: 59 s
Channel: Ashar Tanveer
Description: If the Milky Way were to double in mass, what would the Sun's velocity be?

step 1 In this question we need to tell what is the mass of our galaxy in terms of a solar mass. So fir

If the Milky Way were to double in mass, what would the...

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Key Concepts

Orbital Dynamics

Orbital dynamics is the study of the motion of objects under the influence of gravity, particularly focusing on how objects in circular orbits maintain balance between gravitational force and centripetal force. The relationship v = ?(GM/r) shows that the orbital velocity of an object, such as the Sun, depends on the mass of the central body (in this case, the Milky Way) and the distance from it. Any change in mass directly influences the orbital speed, with, for example, doubling the central mass increasing the velocity by a factor of ?2 under idealized conditions.

Newtonian Gravitational Theory

Newtonian gravitational theory explains that every mass attracts every other mass with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between them. In the context of stellar orbits, when the galactic mass is altered, this relationship directly impacts the gravitational pull experienced by orbiting stars, thereby affecting their equilibrium orbital velocity. This is a foundational principle for understanding how variations in mass distribution, such as doubling the mass of a galaxy, would alter the motion of stars within it.

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