Table 4 Characteristic magnetostrophic frequency \(\omega_{m}^{{}}\) (s−1) for \(m = 2\), \(r_{1}^{{\prime }} = 0.9\) and \(i = 1\)
Initial guess \(\omega_{2}^{{}}\) (s−1) | Obtained \(\omega_{2}^{{}}\) (s−1) | |
|---|---|---|
Step 1 | \(2.83 \times 10^{ - 12} + 1.31 \times 10^{ - 13} i\) | \(6.41 \times 10^{ - 13} + 1.02 \times 10^{ - 12} i\) |
Step 2 | \(6.41 \times 10^{ - 12} + 1.02 \times 10^{ - 12} i\) | \(3.67 \times 10^{ - 13} + 7.26 \times 10^{ - 12} i\) |
Step 3 | \(3.67 \times 10^{ - 13} + 7.26 \times 10^{ - 12} i\) | \(4.18 \times 10^{ - 13} + 6.55 \times 10^{ - 12} i\) |