Rotational Dynamics and Orbital Mechanics Step by Step
A lightweight execution-visualization book.
Torque and Inertia
Lever Arm Times Force Makes Torque
Moment of Inertia Squares Radius
Moving Mass Inward Lowers Inertia
Angular Acceleration
Torque over Inertia Gives Alpha
Larger Inertia Reduces Alpha
Alpha Ledger Cites Checked Sources
Angular Momentum
Inertia Times Spin Is Angular Momentum
Smaller Inertia Spins Faster at Same Angular Momentum
Conservation Ledger Pins Before and After Sources
Rotational Energy and Source Ledgers
Rotational Energy Keeps the Half Factor
Rolling Energy Adds Translation and Rotation
Rotational Source Ledgers Close the Chain
Rotational Relation Cross Scans
Torque Inertia Alpha Three-Row Scan
Angular Momentum Compensation Three-Row Scan
Rotational Energy Omega-Square Three-Row Scan
Deeper Rotational Budget Scans
Torque Arm Force Grid Three-Row Scan
Inertia Mass Radius-Square Three-Row Scan
Torque Inertia Alpha Source-Swap Three-Row Scan
Rolling Energy Partition Three-Row Scan
Central Fields
Central Field Uses Mu over Radius Square
Closer Radius Makes Stronger Field
Same Radius Same Field around the Source
Circular Orbits
Speed-Square Closes a Circular Orbit
Lower Orbit Needs Larger Speed-Square
Wrong Speed-Square Does Not Close
Period Ratios
Period-Square over Radius-Cubed Matches
Larger Radius Takes More Period-Square
Wrong Period-Square Breaks the Ratio
Energy and Escape
Negative Specific Energy Is Bound
Escape Boundary Has Zero Specific Energy
Escape Speed-Square Is Twice Circular
Orbit Audit Closes the Chain
Relation Cross-Scans
Field Strength Inverse-Square Cross-Scan
Circular V-Square over Radius Cross-Scan
Kepler Period-Square Boundary Cross-Scan
Specific Energy Sign Cross-Scan
Escape V-Square Double Circular Cross-Scan
Deeper Orbit Budget Scans
Radius-Square Field Budget Three-Row Scan
Circular Speed-Square Radius Budget Three-Row Scan
Binding Margin Speed-Square Three-Row Scan
Escape Energy Closure Radius Ladder Three-Row Scan
Real Simulation Ledgers
Orbit Simulation Conserves Energy and Momentum
Intermediate-Axis Spin Really Does Flip