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Table 6 Gauss coefficients for the dipole, quadrupole and octupole field reconstructed from the simulated data evaluated at selected pairs of MESSENGER orbits

From: The Mie representation for Mercury’s magnetic field

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

– 136.4

9.9

3.7

– 103.8

– 16.0

5.2

– 16.3

– 4.0

– 24.4

7.6

– 6.8

– 5.7

– 5.1

10.6

10.6

– 39.2

– 13.0

– 11.1

2014–T143, 2014–T195

– 179.6

– 10.5

– 4.4

– 93.7

21.6

7.4

– 3.6

– 15.0

– 12.2

– 10.7

– 10.9

3.7

5.7

– 13.9

2.1

– 31.9

– 27.5

4.3

2013–T330, 2014–T107

– 148.9

– 15.1

5.6

– 105.7

15.4

7.6

3.7

– 34.3

– 15.2

– 5.8

– 8.4

– 6.1

6.9

– 17.1

11.7

– 20.2

– 22.8

– 5.9

2013–T330, 2014–T195

– 149.3

– 12.6

3.7

– 99.4

10.4

4.1

7.0

– 31.0

– 18.2

– 3.5

– 4.1

– 6.8

2.3

– 16.9

17.0

– 12.8

– 18.7

– 6.8

2014–T107, 2014–T143

– 190.4

– 21.2

– 8.6

– 97.0

25.1

6.4

– 15.8

– 17.3

– 8.1

– 11.3

– 10.0

12.3

7.4

– 10.0

13.1

– 43.2

– 36.7

– 2.5

2012–T223, 2012–T311

– 150.1

16.3

– 1.8

– 113.9

27.9

2.7

24.8

– 39.4

– 28.8

– 44.8

– 4.4

– 57.4

77.5

– 79.4

– 16.4

– 41.5

– 9.8

– 35.4

2013–T330, 2014–T21

– 105.0

– 14.8

7.5

– 131.5

6.4

2.1

3.1

– 17.1

– 13.9

– 1.6

0.0

– 17.1

– 3.2

– 8.5

9.0

– 6.6

– 7.8

– 22.6

2014–T107, 2013–T245

– 144.5

– 28.4

1.6

– 117.6

36.5

21.9

1.7

– 10.5

– 8.7

– 13.7

– 18.8

– 5.7

2.3

– 25.1

6.6

– 4.6

– 37.9

6.8

2014–T195

– 131.5

6.8

– 6.3

– 114.8

– 51.6

– 11.7

– 1.9

0.4

– 19.0

46.0

– 9.7

– 0.1

– 41.7

82.1

– 7.4

– 53.3

– 3.4

51.7

Mean value

– 163.7

1.1

0.1

– 104.0

7.6

5.1

1.7

– 10.6

– 18.8

– 5.6

– 6.8

– 3.5

2.3

– 9.3

6.5

– 31.5

– 14.7

– 2.5

Standard deviation

19.9

14.0

5.6

8.1

14.3

2.2

3.9

7.4

5.9

7.3

3.7

4.3

4.9

10.4

7.1

12.4

8.6

6.9