4. (15 marks) Canadian astronomers frequently observe with the Gemini North telescope in Hawaii. The location of the telescope is OGN = +19 49'4 N and AGN = 155 28'1 = 10:365 W. (a) Estimate the local sidereal time (LST) at midnight Hawaiian Time on November 4 at the Gemini North telescope. In 2021 the date of the Vernal Equinox was March 20, and Hawaii is in the time zone 10 hours west of Greenwich. (b) Calculate the ALT and AZ of the star e Ursa Majoris, the brightest star in the constella- tion of Ursa Major, also known as the Big Dipper, at midnight Hawaiian Time as observed from the Gemini North telescope on November 4. (NOTE, the astronomer Johann Bayer estimated the star a Ursa Majoris was the brightest star in the constellation, but mea- surements later found that the star Bayer named Ursa Majoris is slightly brighter.) The equatorial coordinates of e Ursa Majoris are RA = 12h 54" and DECe = +55 57'. 4. (15 marks) Canadian astronomers frequently observe with the Gemini North telescope in Hawaii. The location of the telescope is OGN = +19 49'4 N and AGN = 155 28'1 = 10:365 W. (a) Estimate the local sidereal time (LST) at midnight Hawaiian Time on November 4 at the Gemini North telescope. In 2021 the date of the Vernal Equinox was March 20, and Hawaii is in the time zone 10 hours west of Greenwich. (b) Calculate the ALT and AZ of the star e Ursa Majoris, the brightest star in the constella- tion of Ursa Major, also known as the Big Dipper, at midnight Hawaiian Time as observed from the Gemini North telescope on November 4. (NOTE, the astronomer Johann Bayer estimated the star a Ursa Majoris was the brightest star in the constellation, but mea- surements later found that the star Bayer named Ursa Majoris is slightly brighter.) The equatorial coordinates of e Ursa Majoris are RA = 12h 54" and DECe = +55 57