Ch 02   Homework

(Adopted from Universe, Ch.2, with some modifications)

01. Suppose that you live at a latitude of 25N. What is the elevation of the Sun above the southern horizon at noon at the time of the winter solstice? Include a drawing as part of your answer.
02. The Great Pyramid at Giza has a tunnel that points toward the north celestial pole. At the time the pyramid was built, around 2600 B.C., toward which star did it point? Toward which star does this same tunnel point today? (Check this figure: )
03. The coordinates on the celestial sphere of the summer solstice are R.A. = 6h0m0s, Dec. = +2327'. What are the right ascension and declination of the winter solstice?
04. (a) What is the sidereal time when the vernal equinox rises from the horizon? (b) On what date is the sidereal time nearly equal to the solar time? Explain.
05. How would the sidereal and solar days change (a) if the Earth's rate of rotation increased, (b) if the Earth's rate of rotation decreased, and (c) if the Earth's rotation were retrograde (that is, if the Earth rotated about its axis opposite to the direction in which it revolves about the Sun)?
06. The image of of the Earth was made by the Galileo spacecraft while en route to Jupiter. South America is at the center of the image and Antarctica is at the bottom of the image. (a) In which month of the year was this image made? Explain your reasoning. (b) When this image was made, was the Earth closer to the perihelion or to the aphelion? Explain your reasoning.
07. The photograph was taken at the Anglo-Australian Observatory (AAO) on Siding Springs Mountain, Australia. Siding Springs is at longitude 14903'58" east and latitude 3116'37" south. (a) By making measurements on the photograph, find the approximate angular width and angular height of the photo. (b) How far (in degrees) from the south celestial pole can a star be and still be circumpolar as seen from the AAO?
08. Unlike western Europe, Imperial Russia did not use the revised calendar instituted by Pope Gregory XIII. The Russian Revolution, which started on Nov. 7, 1917, according to the modern calendar, is called 'the October revolution' in Russia. What was that date according to the Russian calendar at that time?
09. What is the angular distance (in degrees) in the sky between a star at (RA = 6h30m; Dec = 00') and another one at (RA = 8h50m; Dec = 00')?
10. What is the angular distance (in degrees) in the sky between a star at (RA = 6h30m; Dec = 300') and another one at (RA = 8h50m; Dec = 300')?