Module Identity
Module IDAIS-WIDE-v3.0.0 © 2026 Astrophyzix Observatory
Hosthttps://www.astrophyzix.com
EngineHTML5 Canvas · Vanilla JS ES2020 · RK4 entry integrator
V3.0 Build Date2026-09-20
Status● Active
LayoutWide module · max-width 700 px
v3.0 Scientific Upgrades
Entry integratorReplaced the analytic Chyba altitude estimate with a 4th-order Runge–Kutta integration of drag, gravity, ablation and pancake spreading (Chyba et al. 1993; Collins et al. 2005).
Energy depositiondE/dz profile stored along the trajectory. Airburst altitude is the height of peak energy deposition, not a point-source guess.
Crater gravity termNormal velocity v sin θ used in π₂. Planet-specific simple–complex transition diameters replace the single 3.8/g Earth fit.
Melt / vaporPierazzo et al. (1997) energy-scaling melt volume with Pierazzo & Melosh (2000) obliquity correction. Vapor fraction from melt number.
SeismicCollins et al. (2005) moment-magnitude estimator M = 0.67 log₁₀(E) − 5.87, E in joules of surface-coupled kinetic energy.
Observer fieldBlast overpressure and thermal exposure evaluated at a user distance via cube-root yield scaling (Collins 2005).
TsunamiWard & Asphaug (2000, 2002) cavity-to-wave attenuation with ocean-depth cap and geometric + dispersive decay.
Climate tierToon et al. (1997) dust / soot / firestorm energy thresholds, applied only as order-of-magnitude class labels.
RecurrenceBrown et al. (2002) Earth bolide flux N(>E) = 3.7 E−0.90 yr⁻¹ (E in kt). Extrapolated above the calibrated 0.1–20 kt window and flagged as such.
WorldsAdded Titan (N₂ atmosphere, icy crust) and Ceres (airless, low-g). Jupiter treated at the 1-bar reference surface.
Atmospheric Entry Integrator
ρ(z) = ρ₀ exp(−z / H)
dv/dt = g sinθ − (C_D ρ A v²) / (2 m)
dz/dt = −v sinθ
dm/dt = − (C_H ρ A v³) / (2 Q) (ablation)
breakup when ρ v² ≥ Y
d²r/dt² = (C_D ρ v²) / (2 ρᵢ r) (pancake, post-breakup)
C_D1.7 (blunt body; Chyba 1993 uses ~1–2)
C_H0.10 heat-transfer coefficient
QHeat of ablation: stone 8 MJ kg⁻¹, carbon 5, iron 8, comet 2.5 (Chyba table)
Airburst def.Altitude of max dE/dz after pancake radius exceeds 2 r₀, or residual mass < 1% before ground.
SchemeClassical RK4, Δt = 0.02 s, ceiling 0.8 × planet radius of curvature ignored (flat-atmosphere).
Gravity bending of the trajectory and lift are omitted. Multi-body fragmentation after pancake decoupling is not resolved; residual mass is treated as a single equivalent body.
Physics Model Provenance
Crater ScalingHolsapple, K.A. (1993). Ann. Rev. Earth Planet. Sci. 21, 333–373. Combined strength/gravity π-group; ν = 0.4.
π groupsπ₂ = 3.22 g a / (v_n²) × (ρ_t/ρ_i)^{1/3}; π₃ = Y / (ρ_t v_n²). Transient diameter from min(gravity, strength) branch.
Complex cratersMelosh, H.J. (1989). Impact Cratering. D_final = 1.17 D_tc^{1.13} / D_sc^{0.13} above the planet-specific simple–complex transition.
D_sc (km)Earth 3.2 (sed) / 4.0 (xtal); Moon 18.8; Mars 8; Mercury 11; Venus 4; Titan 8; Ceres ~90 (g-scaled). Pike / Melosh / Krüger et al. 2018.
Peak-ring / basinPeak-ring onset ≈ 5 × D_sc; multi-ring ≈ 20 × D_sc (morphologic, not dynamic).
Formation timet_form ≈ 0.8 √(D_tc / (2 g)) (Schmidt–Housen / Melosh excavation timescale).
Environmental FXCollins, Melosh & Marcus (2005). Earth Impact Effects Program. Meteoritics 40(6), 817–840.
FireballR_f ≈ 0.002 E^{1/3} (E in J, R in m) — yield scaling, Collins eq. 32.
Airburst modelChyba, Thomas & Zahnle (1993). Nature 361, 40–44. Pancake ODE as implemented in Collins 2005 / 2017.
MeltPierazzo, Vickery & Melosh (1997). Icarus 127, 408–423. V_m / V_i = 10^a (v_n² / E_m)^μ, a ≈ −0.80, μ ≈ 0.67, E_m (granite) = 5.2 MJ kg⁻¹.
Oblique meltPierazzo & Melosh (2000). Icarus 145, 252–261. Melt retained ≈ 1.0 (≥45°), 0.5 (30°), 0.1 (15°) relative to vertical.
TsunamiWard & Asphaug (2000) Icarus; (2002) DSR-II. A(r) = min(D_c, h) / (1 + r / R_c)^w with w ≈ 0.5 + 0.575 exp(−0.035 R_c / h).
Climate / dustToon et al. (1997). Rev. Geophys. 35(1), 41–78.
FluxBrown et al. (2002). Nature 420, 294–296. log₁₀ N = 0.5677 − 0.90 log₁₀ E_kt.
⚠ Results are order-of-magnitude estimates for education and science communication. Not for hazard assessment, insurance, or civil-defence planning. Crater diameters ±50%; energy-coupled effects ±1 order of magnitude.
Planetary Data Sources
PrimaryNASA Planetary Fact Sheets (Williams, D.R., NSSDCA)
AtmosphereEarth: US Standard / MSIS ρ₀=1.225 kg m⁻³, H=8.5 km. Mars Climate Database-class ρ₀=0.020, H=11 km. Venus VIRA ρ₀=65, H=16 km. Titan N₂ ρ₀=5.4, H=40 km. Jupiter 1-bar ρ₀=0.16, H=27 km.
Last Verified2026-09
Known Limitations
Oblique cratersElliptical planform (Elbeshausen / Collins) is not drawn. Angle enters via v_n = v sinθ in π₂ and melt correction only.
FragmentationSingle-body pancake. No strewn-field, no Hills–Goda debris cloud, no Avramenko chain reaction.
TsunamiFlat-bottom ocean of constant depth; no coastline bathymetry, no edge waves, no landslide secondary source.
Very large eventsπ-group scaling is an extrapolation above ~500 km crater diameter and for planetary-scale (magma ocean) events.
Jupiter / TitanGas-giant “craters” are transient atmospheric cavities; icy-crust melt uses the same E_m as water ice.
FluxBrown 2002 calibrated 0.1–20 kt. Recurrence at Chicxulub energies is an unchecked power-law extrapolation.
Governance & Usage Policy
Intended UseEducation, science communication, scenario visualisation on astrophyzix.com.
ProhibitedOperational hazard assessment · insurance claims · civil defence planning.
Accuracy TierIndicative — ±50% on crater dimensions, ±1 OOM on energy effects.
Educational use ✓
Open client-side model
Not for operational hazard use
No personal data collected
Client-side only
Changelog
v3.0.0700 px wide rebuild. RK4 drag/ablation/pancake integrator with dE/dz profile. Pierazzo melt + obliquity. Collins Mw. Ward–Asphaug tsunami with ocean depth. Observer-distance blast/thermal. Brown 2002 recurrence. Toon climate tier. Titan + Ceres. Chelyabinsk + Barringer presets. Provenance rewrite.
v2.1.0Narrow layout rebuild. Provenance drawer. Professional UI refresh.
v2.0.0Airburst model (Chyba 1993). Tsunami module (Weiss & Wünnemann 2008).
v1.0.0Initial release. Pi-group crater scaling, six planet targets, canvas particle system.