The Gravitation Series
Nine exam-ready cards covering the complete chapter for JEE Main, JEE Advanced and NEET — every concept built from scratch, every derivation shown move by move, every formula earned rather than memorised.
Escape Velocity: The Speed That Ends Gravity’s Grip
Built from scratch: why mass cancels, why the Moon has no atmosphere, the boundary-condition idea — 3 graded examples including the 0.5·vₑ height problem.
Orbital Velocity: Why the ISS Never Falls
Newton’s cannonball → vₒ = √(GM/r); the r = R+h slip, why higher orbits are slower, and the permanent √2 link to escape velocity.
Kepler’s Laws: The 1609 Prediction Machine NASA Still Uses
The Mars story that broke circles; T² ∝ r³ derived from Part 2; the 15-second ratio method; weighing the Sun in a Level-3 example.
Angular Momentum: Gravity Can Pull, It Cannot Twist
Why central forces lock L = mvr — the skater, the comet, the string-pull problem; Kepler’s 2nd law unmasked as conservation.
Gravitational Potential Energy: Why the Minus Sign Matters
Zero at infinity, negative when bound, mgh as the shadow formula — with the sign-discipline drills that protect every ΔU calculation.
Satellite Energy: Why Total Energy Is Negative KE Over Two
The −2 : +1 : −1 ratio built from Parts 2 and 5; orbit-shift budgets; the drag paradox — losing energy speeds you up.
Variation of g: Why You Weigh Less at the Equator
Height, depth and latitude from one master recipe; exact vs approximate; the 0.5% gold-trader effect and the spinning-Earth breakup limit.
Black Holes, LIGO and Lagrange Points: The Research Frontier
Earth as a 9-mm black hole; LIGO’s chirp decoded with Part 6’s ledger; Aditya-L1’s parking spot; the complete chapter formula card.
Bonus: Field Intensity, Shell Theorem, Weightlessness & GEO
E = GM/r² and the slope–valley picture; the shell theorem’s elegant cancellation; potential at a planet’s core; deriving the 36,000 km GEO altitude.
