(a) (4 marks) A popular image on social media is captioned with \Heaven’s trail: a
place in Ireland where every two years on June 10-18 the stars line up with this
path.” Using your knowledge of the celestial sphere, identify and explain two
errors in this caption.
(b) (2 marks) A Tweet claims: \Summer solstice two minutes to midnight. Longest
day + longest shadows. Make a mark on a wall before sunset to show kids how it
all works.” Using your knowledge of the motion of the Sun around the celestial
sphere, explain one of the errors in this tweet.
(c) (6 marks) There are claims online that earthquakes in New Zealand are asso-
ciated with planets passing directly overhead. The ecliptic is tilted 23:5 with
respect to the equator, and New Zealand stretches from 34 South to 47 South.
What is the maximum altitude planets can reach when viewed from New Zealand
(give an answer accurate to one degree), and can planets pass directly overhead
when viewed from New Zealand?
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