A given star orbits the center of its galaxy at an average speed of v_star, at a distance of r_star​ from the center.  The galaxy has 2 spiral arms, and the arms themselves orbit slower than the star -- at the same radius, they orbit at a speed of v_arm (in the same direction as the star).  The galaxy's age is t_gal. In the history of this galaxy, how many times did this star cross through a spiral arm? Values: v_star​ = 200 km/s, r_star​ = 9 kpc, v_arms​ = 46 km/s, t_gal​ = 4 Gyr

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A given star orbits the center of its galaxy at an average speed of v_star, at a distance of r_star​ from the center.  The galaxy has 2 spiral arms, and the arms themselves orbit slower than the star -- at the same radius, they orbit at a speed of v_arm (in the same direction as the star).  The galaxy's age is t_gal. In the history of this galaxy, how many times did this star cross through a spiral arm?

Values: v_star​ = 200 km/s, r_star​ = 9 kpc, v_arms​ = 46 km/s, t_gal​ = 4 Gyr

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