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.

9 parts27 worked examples45 practice questionsReal-world physics in every card
1

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.

vₑ = √(2GM/R)Concept-first
2

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.

vₒ = √(GM/r)7.9 km/s
3

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.

T² ∝ r³Ratio method
4

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.

L = mvrConservation law
5

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.

U = −GMm/rSign discipline
6

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.

PE:KE:E = −2:+1:−1Drag paradox
7

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.

3 formulas, 1 recipeFree-mark pattern
8

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.

Research frontierFormula card
9

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.

Bonus cardComplete-the-chapter
① First passParts 1–9 in order — each card links to the next and builds on the last.
② Revision weekThe recap card in every part; Part 8 carries the complete chapter formula card.
③ PracticeEvery part ends with a hidden-answer set of 5 questions — try before you tap.
Concept threads to notice: escape velocity returns inside Part 5’s energy ledger · Part 2 explains Part 3’s 1.5 power · Part 4 unmasks Part 3’s second law · Part 6’s drag paradox becomes LIGO’s chirp in Part 8 · the shell theorem of Part 9 powers Part 7’s depth formula.
Next series: Rotational Motion (8 parts) — where Part 4’s angular momentum grows into torque, moment of inertia and rolling bodies.