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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034 B.Sc. DEGREE EXAMINATION – MATHEMATICS THIRD SEMESTER – April 2009 ZA 11 MT 3502 / MT 5503 - ASTRONOMY Date & Time: 05/05/2009 / 1:00 - 4:00 Dept. No. Max. : 100 Marks SECTION – A Answer ALL the questions: 1. Define: Siderial day. 2. What is a circumpolar star? 3. Define: Astronomical refraction. 4. Define Horizontal parallax. 5. State any one of Kepler’s laws of planetary motion. 6. What is Equation of time? 7. Define Synodic month. 8. What is meant by ‘phase of moon’? 9. What are inner planets? 10. Define ‘Stationary points’. 10 x 2 = 20 SECTION – B Answer any FIVE questions: 5 x 8 = 40 11. Write notes on Ecliptic Coordinate system to find the Position of any body in the celestical sphere. 12. Trace the variation in the duration of day and night during the year for a place in the north torrid zone. 13. The altitude of a star is observed, and found to be the angle whose sine is 5/13, calculate the true position of the star, assuming the amount of refraction at an altitude of 45 o to be 58”.2 14. Compare the effects of geocentric parallax and refraction. 15. Write notes on calenders. 16. Discuss the different phases of moon using a formula. 17. Explain how a lunar eclipse is caused. 18. Write notes on comet. SECTION – C Answer any TWO questions: 2 x 20 = 40 19. a) Discuss the horizontal coordinate system to fix a celestial body. b) Trace the variation of day and night for a place in the north Frigid zone. 20. a) Derive cassinis formula for refraction, indicating the assumptions made. b) Draw a neat diagram of Sextant and explain it. 21. a) Derive Newton’s deductions from Kepler’s laws. b) What are astronomical seasons? Calculate their lengths. 22. a) Find the maximum number of eclipses in a year. b) Write short notes on (i) Solar system. (ii) Constellations of stars. **********************