Table 7: Systems dynamical stability. Application of the stability criteria from Eggleton & Kiseleva (1995) (their $Y^{\rm min}_{0}$, cf. Eq. (2)) and from Mardling & Aarseth (2001) ( $R^{\rm min}_{\rm crit} = \frac{R^{\rm out}_{\rm p}}{a_{\rm in}}$ their Eq. (90)) for a given partition (1+2)+3, $q_{\rm in}$ = m1/m2 and $q_{\rm out}$ = (m1+m2)/m3. $R_{\rm mes}$ is the ratio of the outer to the inner projected separation of the triple partition considereda.
System Partitionb $q_{\rm in}$ $q_{\rm out}$c $Y^{\rm min}_{0}$c $R^{\rm min}_{\rm crit}$c $R_{\rm mes}$
VW Cha........... (B+C)+A 1.14 0.75 6.16 3.92 5.8
CGH$\alpha $ 5/6........ (A+B)+C 1.84 0.93 5.89 3.75 23.4
Sz 30................. (A+B)+C 1.60 1.34 5.45 3.49 3.1
UZ Tau............. (B+C)+A 1.08 0.60 5.25 3.38 9.8
J 4872............... (A+B)+CD 1.10 1.39 5.43 3.48 19.3
UX Tau............. (A+D)+BC 6.81 2.40 4.81 3.22 2.2
LkH$\alpha $ 336.......... (A+C)+B 2.83 1.33 5.46 3.5 1.41
FV Tau............. (C+D)+AB 3.15 0.27 7.87 5.20 17.4
GG Tau............. (C+D)+AB 2.85 0.11 9.80 ...d 6.92
LkH$\alpha $ 262/263... (A+B)+C 0.95 1.17 5.62 3.58 9.9
LkH$\alpha $ 346 ......... (A+B)+CD 3.11 0.42 7.08 4.57 5.3
ROXs 43 ............ (A+B)+C 1.13 1.16 5.63 3.59 13.4
SR 24 ................. (B+C)+A 1.79 0.63 6.40 4.09 62.6
Sz 68 .................. (A+B)+C 3.77 25.3 3.26 2.84 22.3
a In case of ambiguity the lowest value is adopted.
b When several configurations exist, the more unstable is reported.
c When several mass estimates exist, these columns report the values
corresponding to the greater values of $Y^{\rm min}_{0}$ and $R^{\rm min}_{\rm crit}$.
d Not applicable since m3/(m1+m2)>5.

Source LaTeX | All tables | In the text