Table 3 Post-impact parameters. In this work we consider the following subset of post-impact parameters, focusing on the LR, SLR, and debris field. These parameters were chosen for their relevance to N-body studies of terrestrial planet formation. Detailed definitions of the post-impact parameters and how they are evaluated can be found in Appendix A
From: Machine learning applied to simulations of collisions between rotating, differentiated planets
Parameter | Constraints | Unit | Description |
|---|---|---|---|
ξ | −10–1 | – | Accretion efficiency |
\(M_{\mathrm{LR}}\) | 0–\(M_{\mathrm{tot}}\) | \(\mathrm{M}_{\oplus }\) | Mass |
\(M^{\mathrm{norm}}_{\mathrm{LR}}\) | 0–1 | \(\mathrm{M}_{\mathrm{tot}}\) | Normalized mass |
\(R_{\mathrm{LR}}\) | >0 | \(\mathrm{R}_{\oplus }\) | Radius |
\(F^{\mathrm{core}}_{\mathrm{LR}}\) | 0–1 | – | Core mass fraction |
\(\Omega _{\mathrm{LR}}\) | >0 | Hz | Rotation rate |
\(\theta _{\mathrm{LR}}\) | 0 − 180 | deg | Obliquity |
\(J_{\mathrm{LR}}\) | 0–\(J_{\mathrm{tot}}\) | J⋅s | Angular momentum |
\(F^{\mathrm{melt}}_{\mathrm{LR}}\) | 0–1 | – | Melt fraction |
\(\delta ^{\mathrm{mix}}_{\mathrm{LR}}\) | 0–0.5 | – | Mixing ratio |
\(M_{\mathrm{SLR}}\) | 0–\(M_{\mathrm{tot}}\) | \(\mathrm{M}_{\oplus }\) | Mass |
\(M^{\mathrm{norm}}_{\mathrm{SLR}}\) | 0–0.5 | \(\mathrm{M}_{\mathrm{tot}}\) | Normalized mass |
\(R_{\mathrm{SLR}}\) | >0 | \(\mathrm{R}_{\oplus }\) | Radius |
\(F^{\mathrm{core}}_{\mathrm{SLR}}\) | 0–1 | – | Core mass fraction |
\(\Omega _{\mathrm{SLR}}\) | >0 | Hz | Rotation rate |
\(\theta _{\mathrm{SLR}}\) | 0–180 | deg | Obliquity |
\(J_{\mathrm{SLR}}\) | 0–\(J_{\mathrm{tot}}\) | J⋅s | Angular momentum |
\(F^{\mathrm{melt}}_{\mathrm{SLR}}\) | 0–1 | – | Melt fraction |
\(\delta ^{\mathrm{mix}}_{\mathrm{SLR}}\) | 0–0.5 | – | Mixing ratio |
\(M_{\mathrm{deb}}\) | 0–\(M_{\mathrm{tot}}\) | \(\mathrm{M}_{\oplus }\) | Mass |
\(M^{\mathrm{norm}}_{\mathrm{deb}}\) | 0–1 | \(\mathrm{M}_{\mathrm{tot}}\) | Normalized mass |
\(F^{\mathrm{Fe}}_{\mathrm{deb}}\) | 0–1 | – | Iron mass fraction |
\(J_{\mathrm{deb}}\) | 0–\(J_{\mathrm{tot}}\) | J⋅s | Angular momentum |
\(\delta ^{\mathrm{mix}}_{\mathrm{deb}}\) | 0–0.5 | – | Mixing ratio |
\(\bar{\theta }_{\mathrm{deb}}\) | −90–90 | deg | Mean altitude |
\(\theta ^{\mathrm{stdev}}_{\mathrm{deb}}\) | >0 | deg | Stddev altitude |
\(\bar{\phi }_{\mathrm{deb}}\) | 0–360 | deg | Mean azimuth |
\(\phi ^{\mathrm{stdev}}_{\mathrm{deb}}\) | >0 | deg | Stddev azimuth |