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Table 1.
Main notations used in the article.
| Notation | Description |
|---|---|
| G | Gravitational constant |
| g | Gravitational field |
| ϕ | Gravitational potential |
| gT | Tidal field |
| cs | Sound speed |
| Mc | Mass of the core of the central object |
| ρe(r)∝r−γ | Envelope density profile of the central object |
| γ | Index of the density profile of the envelope of the central object |
| Mc + e | Total mass of the central object (core + envelope) |
| Mp | Mass of a density perturbation formed in the vicinity of an already formed core (the central object) |
| R | Radius of the spherical perturbation when it forms |
| a, b, c | Semi axes of the perturbation deformed by the tidal field |
| r0 | Distance between the barycenters of the perturbation and the central object |
| Ω | Rotation vector of the perturbation around the central object |
| 𝕋 | Tidal tensor |
| 𝕋e | Contribution to the tidal tensor from the envelope of the central object |
| 𝕋c | Contribution to the tidal tensor from the core of the central object |
| 𝒯 | Virial Tidal tensor |
| ℐ | Virial Inertia tensor |
| 𝒦 | Virial Kinetic energy tensor |
| 𝒲 | Virial Gravitational energy tensor |
| ℛ | Rotation support virial tensor |
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