Open Access
Table A.1
Notations used in this paper
| Notation | Definition | Notation | Definition | Notation | Definition |
|---|---|---|---|---|---|
| bold | Vector or tensor | ˙ | d/dt | N | Number of moonlets |
| M⊕ | Earth mass | R⊕ | Earth radius | G | Gravitational constant |
| T⊕ | 2π/(GM⊕/R⊕3)1/2 | M☾ | Mass of the Moon | mj | Mass of moonlet j |
| (O,i,j,k) | Inertial reference frame | (O,I,J,K) | Frame of Earth's rotation | Ω | Earth's rotation |
| t | Time | Rout | Fluid disk's outer edge | νf | Below Eq. (3) |
| x | Rout/R⊕ | mf | Fluid disk's mass | uj | Moonlet inertial position |
| u⊕ | Earth inertial position | rj | uj-u⊕ | mspw | Eq. (4) |
| Σf | Fluid disk's surface density | Δ̃t | Spawn period | J2 | Second zonal harmonic |
| Pl | lth Legendre polynomial | P2(z) | (3z2−1)/2 | W | Perturbing potential |
| V | Perturbed potential | k2 | Second Love distribution | κ2 | Second Love number |
| Δt | Tidal timelag | C⊕ | Earth moment of inertia | p | Multipole expansion order |
| θ | Opening angle | a | Semi-major axis | e | Eccentricity |
| i | Inclination | ν | True longitude | ω | Argument of the periapsis |
| Ω | Ascending node longitude | n | Mean motion | m̃ | Largest remnant's mass |
| m̌ | Ejecta tail's mass | m1 | Impactor mass | m2 | Target mass |
| C | Catastrophicity (Eq. 17) | QR | (m1 + m2)Δv2/2 | Mc | Central mass |
Notes. The notations are ordered roughly by first appearance (top to bottom). There is a notation conflict as Ω denotes both the scalar rotation of Earth and the longitude of the ascending node, but the context should prevent any confusion.
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