Week 1:
A star, X, of declination = 42°21´N is observed when its hour angle = 8 hour. If the observer’s latitude is 60°N, calculate the star’s altitude, and azimuth at the time of observation. (Week 1)
Week 2
Calculate to the nearest minute the interval of mean time elapsing between the setting of the Sun and of Mars on October 15th, at Sydney, Australia (33° 52′ S, 151° 13′ E) given that the Sun’s declination is 8° 15′ S, the equation of time is +6ᵐ, the right ascension and declination of Mars are 14ʰ 22ᵐ and 5° 40′ S, and the Greenwich sidereal time at GMT 0ʰ on October 15th is 0ʰ 48ᵐ.
week 3
The fictional towns of Loria and Maven are located at (48.20° N, 12.45° E) and (δ, 75.60° E), respectively. It is known that the spherical triangle with vertices at Loria, Maven, and the North Pole covers 5.25% of Earth’s surface. Compute δ.