struct-coeffs.rst

Structure Coefficients

The structure coefficients <osc-struct-coeffs> for composite polytropic models are evaluated using

$$\begin{aligned} \begin{gather} V_{2} = -(n_{i} + 1) \frac{z_{\rm s}^{2}}{z} \frac{\theta'_{i}}{\theta_{i}}, \qquad \As = V_{2} \frac{z^{2}}{z_{\rm s}^{2}}\left( \frac{n_{i}}{n_{i} + 1} - \frac{1}{\Gamma_{1}} \right), \\\ U = \frac{t_{i} z^{3}}{\mu_{i}} \theta_{i}^{n_{i}}, \qquad c_1 = \frac{z^{3}}{z_{\rm s}^{3}} \frac{\mu_{\rm s}}{\mu_{i}}, \end{gather} \end{aligned}$$

where μ is the auxiliary mass variable introduced above.