Black hole time dilation: compare two clocks without the movie shortcuts
Work through supported-clock time dilation outside a nonrotating black hole, and distinguish clock rates from orbits and delayed light signals.
Work through supported-clock time dilation outside a nonrotating black hole, and distinguish clock rates from orbits and delayed light signals.
Resolve the gravity-assist puzzle by comparing planet-relative and Sun-relative velocities during a simplified Jupiter flyby.
Infer a planet-to-star radius ratio from a transit light curve, compare Earth and Jupiter signals, and explore why grazing transits need more care.
Understand the five rotating-frame equilibrium points, why L1 and L2 need station keeping, and what makes L4 and L5 different.
Explore 2:1 and 3:2 orbital rhythms, calculate radius ratios with Kepler’s law, and learn why a simple period match does not prove dynamical resonance.
Measure a hydrogen line’s Doppler shift, distinguish fractional and absolute wavelength changes, and solve a synthetic mystery spectrum.
Follow a density-based worked example of the Roche limit, then test when an icy or rocky moon crosses a tidal-disruption boundary.