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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034 B.Sc. DEGREE EXAMINATION – MATHEMATICS THIRD SEMESTER – November 2008 MT 3502 / MT 5503 - ASTRONOMY Date : 08-11-08 Time : 9:00 - 12:00 Dept. No. AB 09 Max. : 100 Marks SECTION – A Answer all questions: (10 x 2 = 20 marks) 1. Define: diurnal motion. 2. What is meant by a circumpolar star? 3. Define Astronomical refraction. 4. Write any two uses of the Equatorial. 5. State any one Kepler’s law. 6. Define Equation of time. 7. Define: ‘Synodic month’. 8. What is meant by ‘phase of moon’? 9. What are inner planets? 10. Define the term ‘opposition’ as applied to a planet. SECTION – B Answer any FIVE questions: (8 x 5 = 40 marks) 11. Describe the Equatorial coordinate system to fix the position of body in the celestial sphere. 12. Find the condition that twilight may last through out night. 13. Derive cassini’s formula for refraction, indicating the assumptions made. 14. If the moon’s horizontal parallax is 57’ and her angular diameter is 32’, find her radius and her distance from the earth. (earth’s radius = 4000 miles). 15. Derive Newton’s deductions from Kepler’s laws. 16. Describe briefly the surface structure of the moon. 17. Enumerate the chief points of difference between the lunar and solar eclipses. 18. Define ‘stationary points’. Find the angle subtended at the sun by two planets when they are stationary as seen from each other. SECTION – C Answer any TWO questions: (2 x 20 = 40 marks) 19. a) Write notes on Horizontal coordinate system to find the position of any body in the celestial sphere. b) Trace the variations in the duration of day and night during the year at a place in the north torrid zone. 20. (a) Find the effect of parallax on the longitude and latitude of a star. (b) Describe the sextant. 21. (a) Discuss the different phases of moon during a lunation. (b) Prove that the Equation of time vanishes four times a year. 22. (a) Find the maximum number of eclipses in a year. (b) Write a short note on ‘Comets’. *********** 1