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Simulations, Data Analysis and Algorithms

Table 1 Pre-impact parameters. Each collision in the dataset is uniquely defined by a set of 12 parameters. These parameters define the geometry of the collision and the physical characteristics, rotations, and orientations of the bodies involved in the collision. The subscripts ∞, targ, and proj refer to the asymptotic, target, and projectile values, respectively. The unit \(R_{\mathrm{grav}}\) corresponds to maximum asymtotic impact parameter that will result in a collision

From: Machine learning applied to simulations of collisions between rotating, differentiated planets

Parameter Range Unit Description
\(M_{\mathrm{tot}}\) 0.1–2 \(\mathrm{M}_{\oplus }\) Total mass (\(M_{\mathrm{targ}} + M_{\mathrm{proj}}\))
γ 0.1–1 Mass ratio (\(M_{\mathrm{proj}} \div M_{\mathrm{targ}}\))
\(b_{\infty }\) 0–1 \(\mathrm{R}_{\mathrm{grav}}\) Asymptotic impact parameter
\(v_{\infty }\) 0.1–10 \(\mathrm{v}_{\mathrm{esc}}\) Asymptotic impact velocity
\(F^{\mathrm{core}}_{\mathrm{targ}}\) 0.1–0.9 Target core mass fraction
\(\Omega _{\mathrm{targ}}\) 0–0.9 \(\Omega _{\mathrm{crit}}\) Target rotation rate
\(\theta _{\mathrm{targ}}\) 0–180 deg Target obliquity
\(\phi _{\mathrm{targ}}\) 0–360 deg Target azimuth
\(F^{\mathrm{core}}_{\mathrm{proj}}\) 0.1–0.9 Projectile core mass fraction
\(\Omega _{\mathrm{proj}}\) 0–0.9 \(\Omega _{\mathrm{crit}}\) Projectile rotation rate
\(\theta _{\mathrm{proj}}\) 0–180 deg Projectile obliquity
\(\phi _{\mathrm{proj}}\) 0–360 deg Projectile azimuth