The Sun orbits around the center of the Milky Way on a circular orbit with a radius of 8 kpc, and at a speed of about 200 km/s. Suppose that the gravitational field of the Milky Way is dominated by a spherical dark matter halo. What is the mass of the halo within the radius of the solar orbit?

The Sun orbits around the center of the Milky Way on a circular orbit with a radius of 8 kpc, and at a speed of about 200 km/s. Suppose that the gravitational field of the Milky Way is dominated by a spherical dark matter halo. What is the mass of the halo within the radius of the solar orbit?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter8: Conservation Of Energy

Section: Chapter Questions

Problem 60PQ: Much of the mass of our Milky Way galaxy is concentrated in a central sphere of radius r = 2 kpc,...

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

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The Sun orbits around the center of the Milky Way on a circular orbit with a radius of 8 kpc, and at a speed of about 200 km/s.
Suppose that the gravitational field of the Milky Way is dominated by a spherical dark matter halo. What is the mass of the halo within the radius of the solar orbit?

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