LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
B.Sc. DEGREE EXAMINATION – MATHEMATICS
THIRD SEMESTER – APRIL 2011
MT 3502/MT 5503 – ASTRONOMY
Date : 25-04-2011 Dept. No. Max. : 100 Marks
Time : 1:00 – 4:00
PART – A
Answer ALL questions. (10 x 2 = 20)
- State cosine formula.
- Define twilight.
- Define refraction.
- What is aberration of light?
- State Kepler’s third law.
- What is equation of time?
- Define synodic period of moon?
- Explain annular eclipse.
- Name the different celestial objects in the solar system.
- What is a constellation? Name any two constellations.
PART – B
Answer any FIVE questions. Each question carries eight marks. (5 x 8 = 40)
- Describe the equatorial system of coordinates with a neat diagram. Give the advantages and disadvantages of this system.
- Trace the variations in the duration of day and night during a year for a place on the equator.
- Explain Gnomon with a neat diagram.
- Write a note on calendars.
- Derive Newton’s deductions from Kepler’s laws.
- Write a note on surface structure of moon.
- Find the maximum and minimum number of eclipses possible near a node.
- Write a note on comets.
PART C
Answer any TWO questions. (2 x 20 = 40)
- a) Derive an expression for hour angle and azimuth of a celestial body at rising and setting.
- b) Explain the different zones of earth with a neat diagram.
- a) Derive a tangent formula for refraction. How do you find the value of coefficient of
refraction?
- b) Derive Cassini’s formula.
- a) Derive the condition for occurrence of a total solar eclipse.
- b) Derive an expression for equation of time. Prove that it vanishes four times in a year.
- a) Derive an expression for different phases of moon.
- b) Write a note on planets.
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