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Table 1 Definition of the parameters used in the model description

From: Impact-induced melting during accretion of the Earth

Symbol

Description

Value

C p

Specific heat

See Table 2

d m

Depth of melting

 

D p

Projectile diameter

 

\( {E}_m^0 \)

Specific energy of melting

See Table 2

F

Surface heat flux

 

k

Experimentally determined scaling constant

0.42

L m

Latent heat of melting

See Table 2

M melt

Mass of melt

 

m p

Mass of projectile

 

T l0

Liquidus temperature at the surface

See Table 2

T l

Liquidus temperature

 

T s

Surface temperature

1750 K

P

Pressure

 

R

Radius of body

 

r

Radial coordinate

 

v

Impact velocity

 

V melt

Volume of melt

 

z

Depth coordinate

 

γ

π-group scaling parameter (γ = 3μ/(2 + μ))

0.66

θ

Impact angle

 

μ

Energy/momentum scaling (velocity exponent)

0.56

ρ t

Target density

 

ρ p

Projectile density

 
  1. Values that are constant throughout all models are listed. Values of the scaling constants k and γ are from Abramov et al. (2012)