7 Determine the rate at which the equatorial coordinates of a source change due

7 determine the rate at which the equatorial

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7. Determine the rate at which the equatorial coordinates of a source change due to precession. Start by differentiating the equations, obtained in the previous problem, with respect to time. This gives us dδ/dt and dα/dt in terms of β , λ , dλ/dt and the transformation angle θ = 23 o 26 . Next eliminate β , λ in terms of δ and α to obtain the final result. 8. Determine the transformation between the equatorial and galactic coordinate systems. The galactic pole is located at δ = 27.13 o and α = 192.86 o . The galactic center is located at δ =- 28.94 o and α = 266.40 o . 9. Determine the shift in the angular position of a star due to the aberration effect. You need to use the relativistic velocity addition formula. If not familiar with the special theory of relativity, use the non-relativistic formula. 1
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10. Recall that at the summer solstice, the Sun never sets at latitudes close to the North Pole. (a) Find the range of latitudes for which this is true. (b) At any latitude l there exists a group of stars that always remain either above or below the horizon. These are called circumpolar stars. Find the range of declinations for these stars at latitude l . (c) Determine the names of a few bright circumpolar stars visible at your location. Locate them in the night sky and track their motion by observing them at different times.
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  • Winter '18
  • S C Misra

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