Table 1.
Open in new tab

Exact QNM frequency (ωr, ωi) and the CA frequencies σn obtained, respectively, from equations (11), (9), MVS (McDermott et al. 1983), Finn (Finn 1988) and LMI (Lindblom et al. 1997) CAs and (C2) are compared for the leading fluid modes of an EOS A star (⁠|${\cal C}=0.27$|⁠).

ModeExact(11)(9)MVSFinnLMI(C2)
(ωr, ωi)σnσnσnσnσnσn
f(0.1447, 7.5E−5)0.1163NA0.16640.17730.1665NA
p1(0.3932, 3.0E−6)0.39280.39340.44330.48060.39840.3903
p2(0.6130, 5.8E−7)0.61350.61300.64890.71020.61590.6126
p3(0.7639, 5.3E−8)0.76400.76390.78420.85250.76640.7636
ModeExact(11)(9)MVSFinnLMI(C2)
(ωr, ωi)σnσnσnσnσnσn
f(0.1447, 7.5E−5)0.1163NA0.16640.17730.1665NA
p1(0.3932, 3.0E−6)0.39280.39340.44330.48060.39840.3903
p2(0.6130, 5.8E−7)0.61350.61300.64890.71020.61590.6126
p3(0.7639, 5.3E−8)0.76400.76390.78420.85250.76640.7636
Table 1.
Open in new tab

Exact QNM frequency (ωr, ωi) and the CA frequencies σn obtained, respectively, from equations (11), (9), MVS (McDermott et al. 1983), Finn (Finn 1988) and LMI (Lindblom et al. 1997) CAs and (C2) are compared for the leading fluid modes of an EOS A star (⁠|${\cal C}=0.27$|⁠).

ModeExact(11)(9)MVSFinnLMI(C2)
(ωr, ωi)σnσnσnσnσnσn
f(0.1447, 7.5E−5)0.1163NA0.16640.17730.1665NA
p1(0.3932, 3.0E−6)0.39280.39340.44330.48060.39840.3903
p2(0.6130, 5.8E−7)0.61350.61300.64890.71020.61590.6126
p3(0.7639, 5.3E−8)0.76400.76390.78420.85250.76640.7636
ModeExact(11)(9)MVSFinnLMI(C2)
(ωr, ωi)σnσnσnσnσnσn
f(0.1447, 7.5E−5)0.1163NA0.16640.17730.1665NA
p1(0.3932, 3.0E−6)0.39280.39340.44330.48060.39840.3903
p2(0.6130, 5.8E−7)0.61350.61300.64890.71020.61590.6126
p3(0.7639, 5.3E−8)0.76400.76390.78420.85250.76640.7636
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