LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034B.Sc. DEGREE EXAMINATION – MATHEMATICSTHIRD SEMESTER – APRIL 2012MT 3502/MT 5503 – ASTRONOMY
Date : 26-04-2012 Dept. No. Max. : 100 Marks Time : 9:00 – 12:00
PART – AAnswer ALL questions: (10×2=20)1. Define first point of Aries and first point of Libra.2. Write a short note on twilight.3. State the laws of refraction.4. What is a sidereal clock?5. State Kepler’s laws of planetary motion.6. The Nautical Almanac gives the Julian date of Jan.1. 1940 as 2429630. Find the J.D of Jan 26, 1965 and the day of the week.7. Define the terms ‘Umbra’ and ‘Penumbra’.8. Prove that one eclipse must occur near a node.9. State Stefan’s and Wien’s laws of radiation.10. Define the term ‘comets’.PART – BAnswer any FIVE questions: (5 x 8 = 40)
11. Define ‘Dip of Horizon’ and derive an expression for the same. List down the effects of dip.12. i) What are the variations in the durations of day and night during the year for a place on the Tropic of Cancer? (4 marks)ii) Find the condition that twilight may last throughout night. (4 marks)13. Derive Cassini’s formula for refraction.14. Define geocentric parallax of a body and derive an expression for it.15. Explain the method of verifying the second law of Kepler in the case of the earth.16. Derive an analytic expression for the equation of time.17. Define sidereal and synodic months and find the relation between them.18. Write a brief note on ‘Neptune’.PART –CAnswer any TWO questions: (2×20=40)19. a) Explain the Horizontal system of celestial co – ordinates to fix the position of a body in the celestial sphere. (10 marks) b) i) Prove that the latitude of a place is equal to the altitude of the celestial pole. (5 marks) ii) Find the condition that a star is circumpolar. (5 marks)
20. a) Derive an expression to find the effect of parallax on the longitude and latitude of a star. (12 marks) b) Define Aberration and prove that it varies as the sine of the Earth’s way. (8 marks)21. a) Derive Newton’s deductions from Kepler’s laws. (12 marks) b) Write a short note on Asteroids. (8 marks)22. a) Define phase of moon and prove that it is equal to , where is the elongation of moon. (10 marks) b) Find the condition for the occurrence of a Lunar eclipse. (10 marks)
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