ASTRONOMY for objects outside of the suns orbit. make an expression that converts the objects radial...

ASTRONOMY for objects outside of the suns orbit. make an expression that converts the objects radial velocity and d (distance from the Sun). into angular speed and R. where r is the distance from the galactic center

Expert Solution

Galactic motion as circular motion with monotonically decreasing angular rate with distance from the center. For example if the mass of the Galaxy is all at the center the angular velocity at distance R is given by

w = M^½G^½R^-3/2

where M = central mass kg

G = gravitational constant 6.67 x 10^-11 Nm²kg^-2

R = distance from central mass m

If we are looking through the Galaxy at an angle g from the center the velocity of the gas at radius R projected along the line of site minus the velocity of the sun projected on the same line is

V = w R sin d - w_oR_o sin g

from here we can calculate the value of angular frequency in terms of distance from galactic center.

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genius_generous answered 1 year ago

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