Table 5 Gauss coefficients for the dipole, quadrupole and octupole field reconstructed from selected pairs of MESSENGER orbits
Orbits | \(g_1^0\) | \(g_1^1\) | \(h_1^1\) | \(g_2^0\) | \(g_2^1\) | \(h_2^1\) | \(g_2^2\) | \(h_2^2\) | \(g_3^0\) | \(g_3^1\) | \(h_3^1\) | \(g_3^2\) | \(h_3^2\) | \(g_3^3\) | \(h_3^3\) | \(q_1^0\) | \(q_1^1\) | \(s_1^1\) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2013–T245, 2014–T21 | – 197.4 | 2.0 | – 2.0 | – 71.6 | – 10.1 | 21.1 | – 40.1 | – 8.5 | – 6.7 | 9.0 | 1.7 | 9.5 | – 7.3 | 23.5 | 80.2 | – 65.2 | – 47.8 | – 13.7 |
2014–T143, 2014–T195 | – 190.0 | 18.0 | 15.3 | – 66.7 | 16.9 | – 7.6 | 5.2 | 2.7 | – 11.5 | – 10.9 | – 24.5 | 4.0 | – 11.4 | – 43.4 | – 21.9 | – 24.2 | – 12.1 | – 21.9 |
2013–T330, 2014–T107 | – 158.5 | – 15.1 | – 1.6 | – 96.6 | 17.0 | – 2.2 | – 6.4 | 2.1 | – 10.0 | – 1.8 | 12.5 | – 6.4 | – 8.2 | 3.8 | 7.1 | 5.6 | 2.7 | 3.3 |
2013–T330, 2014–T195 | – 164.1 | – 6.5 | 6.6 | – 81.2 | 12.7 | 6.3 | 12.0 | – 52.2 | – 13.6 | – 5.9 | – 14.1 | – 6.3 | 3.6 | – 32.5 | 21.5 | – 5.8 | – 16.2 | 14.3 |
2014–T107, 2014–T143 | – 155.6 | – 2.6 | 5.0 | – 81.7 | 22.8 | – 8.0 | 13.5 | 30.7 | – 20.8 | – 8.9 | – 3.6 | – 20.3 | – 18.8 | – 32.1 | – 19.9 | – 24.5 | – 0.8 | 16.8 |
2012–T223, 2012–T311 | – 190.4 | 0.2 | 0.5 | – 76.0 | 73.0 | 11.9 | – 30.0 | – 82.1 | – 17.4 | – 65.6 | – 68.5 | – 41.4 | 88.9 | – 178.1 | 53.2 | 9.6 | 41.1 | – 41.5 |
2013–T330, 2014–T21 | – 163.3 | – 9.0 | 7.9 | – 80.6 | – 8.5 | 5.6 | – 9.8 | – 27.2 | – 1.8 | 3.5 | – 11.5 | 14.4 | – 39.1 | – 22.6 | 35.5 | 11.4 | – 27.4 | – 5.5 |
2014–T107, 2013–T245 | – 162.3 | – 4.7 | – 27.2 | – 96.6 | – 9.5 | 16.0 | – 29.6 | 32.0 | – 27.5 | 10.7 | 31.2 | – 21.7 | – 13.2 | 25.1 | 35.5 | – 61.5 | – 1.7 | – 38.4 |
2014–T195 | – 163.7 | 8.7 | – 17.3 | – 87.0 | – 12.8 | – 21.2 | – 22.1 | 10.5 | – 32.9 | 12.8 | 17.3 | – 18.4 | 13.7 | 53.2 | – 41.4 | – 38.2 | – 16.2 | 12.3 |
Mean value | – 175.9 | – 1.7 | 4.5 | – 82.0 | 0.8 | 1.0 | 2.9 | 1.7 | – 19.1 | 1.1 | 0.4 | – 0.5 | – 5.9 | – 5.8 | – 3.3 | – 36.6 | – 7.4 | 0.8 |
Standard deviation | 15.8 | 5.9 | 6.2 | 10.2 | 13.9 | 8.2 | 10.6 | 7.8 | 8.5 | 9.2 | 12.7 | 12.1 | 11.0 | 26.8 | 21.2 | 23.2 | 8.4 | 15.0 |