***Admission Open Now***

Number of hours: 30

Number of session: 20 (Online Lectures)

Assignmet Lectures will be offline once a month

On Monday and Friday Only

Fee: Rs.3500/-

Time: 7.00 PM to 8.30 PM

Venue: Health Centre Bldg., 2nd Floor, Vidyanagari, Mumbai – 400 098.

Syllabus

Learning Outcomes:

After completing this course, learner will be able to:

1) specify coordinates of any celestial body at given time and place

2) convert given celestial coordinates to convenient form for astronomer

3) use Kepler equations to predict motion of planets and comets

4) explain orbital elements of celestial bodies

5) calculate probability of eclipses under various celestial conditions

6) predict future eclipses from given place and time

Spherical Trigonometry: (8 sessions, total 12 hours)

• Triangles on celestial sphere
• Sine rule, cosine rule, four parts formula
• Equatorial coordinate system (Right Ascension, Declination)
• Ecliptic coordinate system (Celestial longitude, Celestial latitude)
• Hybrid coordinate system (Hour Angle, Declination)
• Local observer system (Azimuth, Zenith angle)
• Conversion formula using spherical trigonometry

Eccentric orbit (6 sessions, total 9 hours)

• Geometry of ellipse
• Kepler equations
• Calculations of true anomaly
• Orbital elements
• Problems of cometary paths

Lunar orbit and eclipses (6 sessions, total 9 hours)

• Precession of nodes
• Type of months
• Intercalary month calculation
• Eclipse seasons
• Metonic cycle
• Saros
• Ecliptic limits - major and minor

Mode of Assessment:

1. Regular submission of assignments - 25%
2. Presenting an mathematical model for given astronomical situation - 25%
3. Quiz and test - 50%
4. Passing criterion: scoring 50% and above