Table 1 Parameters in the asteroid thermochronologic code and prior distributions used in the Bayesian inversion

From: An early giant planet instability recorded in asteroidal meteorites

Parameter

Prior

Reference

Environmental

tss

Solar age (oldest CAIs)

4,567.3 Ma

26

Tm

Midplane temperature

\(\log{\mathcal{N}}(5.4,0.5)\approx210\,{\mathrm{K}}\)

53

Cosmochemical

26Alo

Initial 26Al/27Al

5.23 ± 0.06 × 10−5

94

 [Al]

Al abundance

\(\log{\mathcal{N}}(-4.6,0.1)\approx1.0\,{\mathrm{wt\%}}\)

82

Tc

Ar closure temperature

\(\log{\mathcal{N}}(6.2,0.3)\approx 490\,{\mathrm{K}}\)

43,59,84,95,96

Asteroid

R

Radius

\(\log{\mathcal{N}}(11.9,0.2)\approx 150\,{\mathrm{km}}\)

70,71,72,73,84,97

ta

Time of accretion

\(\log{\mathcal{N}}(0.70,0.08)\approx 2.0\,{\mathrm{Myr}}_{\mathrm{{ss}}}\)

52,70,71,72,73,84,97

Material

ρ

Bulk density

\(\log{\mathcal{N}}(8.12,0.04)\approx 3,400\,{\mathrm{kg}}\,{\mathrm{m}}^{-3}\)

74,75

Cp

Specific heat capacity

\(\log{\mathcal{N}}(6.73,0.08)\approx 850\, {\mathrm{J}}\,{\mathrm{kg}}^{-1}\, {\mathrm{K}}^{-1}\)

76

k

Thermal conductivity

\(\log{\mathcal{N}}(0.3,0.6)\approx 1.4\,{\mathrm{W}}\,{\mathrm{m}}^{-1}\,{\mathrm{K}}^{-1}\)

77,78,79

Bombardment

to

Start time

\({\mathcal{U}}[0,{t}_{{\mathrm{max}}}]\, ({\mathrm{Myr}}_{\mathrm{{ss}}})\)

 

Fo

Initial flux

\({\mathcal{U}}[0,1{0}^{4}]\,({\mathrm{Myr}}^{-1})\)

 

τ

e-folding time

\({\mathcal{U}}[0,{t}_{{\mathrm{max}}}]\,({\mathrm{Myr}})\)

 
  1. Priors are either a constant, a uniform distribution \({\mathcal{U}}[a,b]\), a normal distribution μ ± σ, or a log-normal distribution \(\log{\mathcal{N}}(\mu ,\sigma )\). log-normal parameters are reported in log-space with linear-space approximations. Myrss denotes Myr after the solar age and tmax is the model time domain upper limit.