Celestial mechanics
Newton’s & Kepler’s Laws
Properties of an elliptical orbit
Determination of orbit types
Hohman transfer orbits
Barycenter & 2-body problem(Binaries)
Langrangian points
Tides
Roche limit
Physics of Stars & Planets
Blackbody radiation
Luminosity & brightness of a star
Solar constant
Luminosity & temperature of a planet
E=mc2
Basics of stellar evolution
Lifetime of a star
Luminosity – Mass relation of a star
Luminosity – life time relation of a star
HR Diagram
The Sun
Black holes (Schwarzschild radius)
Stellar Observations
Pogson ratio and equation
Apparent and absolute magnitudes
Bolometric magnitude and correction
B-V index and its applications
Light curves
Optics & Detectors
Types of Telescopes
Powers of a telescope
FOV
CCD
Celestial Coordinate Systems & Times
Celestial Sphere
Equatorial, Horizontal, Ecliptic & Galactic Coordinate Systems
Circumpolar stars
Apparent motion of the Sun (Equinox and Solstice)
Seasons on Earth
Spherical trigonometry & applications
Hour angle & Local Sidereal Time (LST)
Rising & setting times
Sidereal period
Synodic period
Solar time
Sidereal time
Observational Astronomy
Constellations
Asterisms
Star maps & charts
DSOs
Phases of Moon
Celestial measurements
Basics of Cosmology