Karka

Course

Astronomy Olympiad Prep: NSEA to INAO

Real olympiad-grade problems and timed mocks for school astronomy champions — positional astronomy to celestial mechanics.

Professional electiveCoreSpaceCertificate
5 modules 27 lessons 15 enrolled ~14h of material

First three lessons free. Full access with Karka Pass from ₹49 for 7 days (7 days ₹49 · 30 days ₹199 · 1 year ₹1,999).

Astronomy Olympiad Prep: NSEA to INAO

By the end

What you'll build

  • Solve NSEA-grade positional astronomy problems — pole altitudes, culminations, circumpolar limits, sidereal time and hour angle — with fast diagram-first methods
  • Apply Kepler's laws, vis-viva, orbital energy and Hohmann-transfer reasoning to celestial mechanics numericals, and verify hand solutions in Python
  • Compute telescope magnification, focal ratio, light grasp, exit pupil and diffraction-limited resolution, and know when the atmosphere takes over
  • Use the magnitude system, distance modulus, parallax, Wien's law and Stefan-Boltzmann to reason quantitatively about stars
  • Sit a full NSEA-pattern timed mock at authentic pace and read the result honestly against the NSEA → INAO → OCSC → IOAA pipeline

Curriculum

What's inside

5 modules · 27 lessons

  1. 01

    Positional Astronomy Problems

    7 lessons
    • Start Here: The Road from NSEA to IOAA
    • The Celestial Sphere: Your Problem-Solving Machine
    • Latitude, Altitude and Declination Numericalsfill blank
    • Timekeeping: Solar Time, Sidereal Time and Hour Angle
    • Sidereal Time and Hour Angle Numericalsfill blank
    • + 2 more lessons
  2. 02

    Celestial Mechanics Numericals

    6 lessons
    • Kepler's Laws, Olympiad Style
    • Kepler and Vis-Viva Numericalsfill blank
    • Vis-Viva, Orbital Energy and Escape Velocity
    • Orbit Playground: Fly the Problems You Solvedorbit playground
    • Lab: The Hohmann Transfer, by Hand and by Codepython lab
    • + 1 more lesson
  3. 03

    Optics and Telescopes

    5 lessons
    • Telescopes: Magnification, F-Ratio and Light Grasp
    • Magnification, F-Ratio and Light-Grasp Numericalsfill blank
    • Resolution and the Wave Nature of Light
    • Resolution and Limiting-Magnitude Numericalsfill blank
    • Optics and Telescopes: Practice Quizquiz
  4. 04

    Physics of Stars

    5 lessons
    • Magnitudes: The Astronomer's Logarithmic Ruler
    • Magnitude and Distance Numericalsfill blank
    • Starlight Physics: Blackbodies, Wien and Stefan-Boltzmann
    • Lab: The Sun as a Blackbody — Verify by Codepython lab
    • Physics of Stars: Practice Quizquiz
  5. 05

    Full NSEA-Pattern Timed Mocks

    4 lessons
    • How NSEA Works — Pattern, Strategy and Honest Expectations
    • The Olympiad Formula Deck: Revise Before You Mockflashcard sr
    • Full NSEA-Pattern Timed Mock (30 Questions, 60 Minutes)quiz
    • After the Mock: INAO, OCSC, IOAA and YUVIKA

The shape of it

How this course works

Short lessons

27 lessons across 5 modules, each small enough to finish in one sitting.

Practice as you go

Every lesson ends with a small space for what you noticed — the doing is the learning.

A certificate at the end

Finish the course and earn a certificate anyone can verify with a link.

Ready when you are.

Make an account and this course opens up — your progress is saved from the very first lesson.