Existence of slowly rotating bipolytropes with prolate cores

Open Access

Table 3.

Same as Table 1 but for fully heterogeneous layers, computed with the DROP code; the solutions obtained are shown in Figs. 3 and 4.

	Config. C	Config. D
ε₁²	−0.00996	−0.01039
ε₂²	←0.01	←0.1
n₁	←3.0	←0.3
n₂	←1.5	←0.5
q	0.70001	0.79985
b₁/a₂	←0.70349	←0.80399
α	←1.25	←2.5
$Ω_{1}^{2} / (2 π G ρ_{c})$ $\varOmega_1^2/(2\uppi G\rho_{\mathrm{c}})$	3.420 × 10⁻⁵	2.667 × 10⁻³
$Ω_{2}^{2} / (2 π G ρ_{c})$ $\varOmega_2^2/(2\uppi G\rho_{\mathrm{c}})$	1.710 × 10⁻⁴	2.614 × 10⁻²
Δ	←0.44721	←0.31937
M/(ρ_ca₂³)	0.11012	1.86401
p_c/(Gρ_c²a₂²)	8.352 × 10⁻²	1.02538
\|VP/W\|	7 × 10⁻⁵	6 × 10⁻⁴

Notes. ρ_c is the central mass density.

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