220 likes | 318 Views
Announcements. Homework Set 1 is due today Homework set 2: Chapter 2 # 32, 35, 37, 39, 43, 44, 45 & 49 Use Exam Formula Sheet as you do the homework to familiarize yourself with where things are on it. Hint for #44 & 45. Terrestrial Coordinates.
E N D
Announcements • Homework Set 1 is due today • Homework set 2: Chapter 2 # 32, 35, 37, 39, 43, 44, 45 & 49 • Use Exam Formula Sheet as you do the homework to familiarize yourself with where things are on it.
Terrestrial Coordinates Longitude is measured CCW (+) or CW (-) around from Greenwich England Latitude is measured North or South of the equator Both are measured in degrees, minutes and seconds Show hint for problem #37
Celestial Coordinates The angle between the celestial equator and the ecliptic is 23.5° Right Ascension (RA) is measured CCW from the Vernal Equinox and is in hours, minutes and seconds Declination (Dec) is measured above (+) or below (-) the celestial equator and is in degrees, minutes and seconds See Appendix A6 for more on celestial coordinates
Finding the CE and NCP at your latitude Altitude of NCP above due north horizon along the meridian is just f, your latitude (+ for north, - for south) Altitude of the celestial equator above due south horizon along the meridian is 90°-f
Example Chapter 2 problem # 29: Determine the maximum altitude in the sky of the Moon as seen from a latitude of 40° North. The orbit of the Moon is tilted 5° from the ecliptic.
Example Solution What is being asked?...Maximum altitude of the Moon from 40° North latitude. What information is given?...latitude = 40° N Tilt angle of Moon from ecliptic = 5° Tilt angle of ecliptic from celestial equator = 23.5° Equation(s) to use: Refer to diagram two slides back. The altitude of the celestial equator above the local horizon is 90° - Latitude CE = 90° - 40° = 50° Maximum altitude of Ecliptic = CE + 23.5° = 50° + 23.5° = 73.5° Maximum altitude of Moon = EclipticMax + 5° = 73.5° + 5° = 78.5°
Time and Astronomy The 24 Hour Day? One rotation of Earth = 1 sidereal day23 hours 56 minutes 4.091 secondsThis is the time required for the Earth to complete one rotation with respect to the fixed stars
As the Earth rotates it also moves around the Sun. So, for the Sun to return to the same place in the sky the Earth must rotate a little more than one complete rotation
The Mean Solar Day is exactly 24 hours. It is the time between meridian transits of the Sun averaged over four years
The Year 1 orbit around the Sun = 365.2564 daysThe sidereal year 1 Tropical Year = 365.2422 mean solar daysThe time from Vernal equinox to Vernal equinox
Pope Gregory XIII’s Calendar The Gregorian Calendar (1582) Most years have 365 days Years evenly divisible by 4 have 366 days except century years. Only century years evenly divisible by 400 are leap years
Precession of the Equinox Like a spinning gyroscope, the Earth precesses. The period of the precession is 25,920 years
The Precession of the Equinox leads to a shift of the celestial pole
The sidereal period is the orbital period with respect to the “fixed” stars: 27.32166 days
The Synodic period is the length of the cycle of phases 29.530589 days
Since the angular size of the Sun and Moon are almost the same, eclipses occur
The Saros Cycle is an eclipse cycle 223 Synodic Months or 18 years 11.3213 days