Supernova Expansion Estimator
Estimate how large a supernova remnant has grown and whether a telescope could separate it from a point source.
Shock Wave Kinematics of Supernova Expansion 🖖
The expansion of a supernova remnant follows the rigorous Sedov-Taylor scaling laws, driven by extreme thermodynamic disequilibrium. The shock front propagates spherically, characterized by R ∝ t^(2/5). This deterministic dissipation of energy through the interstellar medium represents a fundamental constraint on stellar evolution dynamics. Such macroscopic fluid behavior inevitably decelerates, adhering strictly to the conservation of mass, momentum, and energy across the interaction boundary.
Why distance shrinks a giant remnant 🖖
At heart this tool uses the plainest formula in physics: distance equals speed times time, so the remnant's radius is R = vt. The clever part is the last step — the same shell looks tiny or huge depending on how far away it sits. Because angular size is roughly θ ≈ 2R/d, moving a remnant twice as far away halves the angle your telescope must resolve.
The Crab expands faster than 1054 allows 🖖
Run the Crab Nebula's motion backward at today's speeds and the filaments converge around the year 1130 — roughly 90 years after the supernova China recorded in 1054. The remnant is therefore accelerating, not coasting: the central pulsar's wind keeps pumping energy into the shell. So a constant-speed R = vt would date the explosion too late, a rare case where reality outruns the simple model.
Example problems
- Crab-like remnant - Crab Nebula-scale remnant: centuries of expansion produce resolvable structure.
- Tycho-like remnant - Tycho-like case: faster expansion but farther distance limits apparent size.
- SN 1987A-like - SN 1987A: physically large shell but small angular footprint in the LMC.
- Nearby tiny toy case - Nearby tiny toy case