Tidal coefficients

Tidal parameter Exact expression
lambda_tilde \(\frac{8 \cdot \delta \cdot \left(\lambda_{1} - \lambda_{2}\right) \cdot \left(- \frac{9 \cdot \delta^{2}}{4} - 11 \cdot \left(\frac{1}{4} - \frac{\delta^{2}}{4}\right)^{2} + \frac{13}{4}\right)}{13} + \frac{8 \cdot \left(\lambda_{1} + \lambda_{2}\right) \cdot \left(- \frac{7 \cdot \delta^{2}}{4} - 31 \cdot \left(\frac{1}{4} - \frac{\delta^{2}}{4}\right)^{2} + \frac{11}{4}\right)}{13}\)
delta_lambda_tilde \(\frac{\delta \cdot \left(\lambda_{1} + \lambda_{2}\right) \cdot \left(\frac{3318 \cdot \delta^{2}}{1319} + \frac{8944 \cdot \left(\frac{1}{4} - \frac{\delta^{2}}{4}\right)^{2}}{1319} - \frac{1999}{1319}\right)}{2} + \frac{\left(\lambda_{1} - \lambda_{2}\right) \cdot \left(\frac{7955 \cdot \delta^{2}}{2638} + \frac{3380 \cdot \left(\frac{1}{4} - \frac{\delta^{2}}{4}\right)^{3}}{1319} + \frac{32850 \cdot \left(\frac{1}{4} - \frac{\delta^{2}}{4}\right)^{2}}{1319} - \frac{5317}{2638}\right)}{2}\)
Phase term Component-mass expression
T10 \(- 24 \cdot \lambda_{1} \cdot \left(\frac{13}{2} - \frac{11 \cdot \delta}{2}\right) \cdot \left(\frac{\delta}{2} + \frac{1}{2}\right)^{4} - 24 \cdot \lambda_{2} \cdot \left(\frac{1}{2} - \frac{\delta}{2}\right)^{4} \cdot \left(\frac{11 \cdot \delta}{2} + \frac{13}{2}\right)\)
T12 \(- \frac{5 \cdot \lambda_{1} \cdot \left(\frac{\delta}{2} + \frac{1}{2}\right)^{4} \cdot \left(- \frac{919 \cdot \delta}{2} + 260 \cdot \left(\frac{\delta}{2} + \frac{1}{2}\right)^{3} - 2286 \cdot \left(\frac{\delta}{2} + \frac{1}{2}\right)^{2} + \frac{5439}{2}\right)}{28} - \frac{5 \cdot \lambda_{2} \cdot \left(\frac{1}{2} - \frac{\delta}{2}\right)^{4} \cdot \left(\frac{919 \cdot \delta}{2} + 260 \cdot \left(\frac{1}{2} - \frac{\delta}{2}\right)^{3} - 2286 \cdot \left(\frac{1}{2} - \frac{\delta}{2}\right)^{2} + \frac{5439}{2}\right)}{28}\)
T13 \(- \pi \cdot \left(- 24 \cdot \lambda_{1} \cdot \left(\frac{13}{2} - \frac{11 \cdot \delta}{2}\right) \cdot \left(\frac{\delta}{2} + \frac{1}{2}\right)^{4} - 24 \cdot \lambda_{2} \cdot \left(\frac{1}{2} - \frac{\delta}{2}\right)^{4} \cdot \left(\frac{11 \cdot \delta}{2} + \frac{13}{2}\right)\right)\)