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Table 2 Implemented and reconstructed Gauss coefficients for the dipole, quadrupole and octupole field resulting from the simulated data along the future MPO orbits. For comparision in the last columns the reconstructed Gauss coefficients resulting from the sole parameterization of the internal parts \(\underline{B}^i\) (Gauss internal, 15 coefficients considered within the model) as well as the coefficients resulting from the parameterization of the internal \(\underline{B}^i\) and external poloidal fields \(\underline{B}^e\) (Gauss internal external, 30 coefficients considered within the model) are presented

From: The Mie representation for Mercury’s magnetic field

Gauss coefficient

Input in nT

Output capon in nT

Gauss–Mie

Gauss internal

Gauss internal external

\(g_1^0\)

– 190.0

– 190.9

– 188.3

– 190.2

\(g_1^1\)

0.0

– 2.1

0.8

– 0.8

\(h_1^1\)

0.0

1.7

– 18.6

– 5.7

\(g_2^0\)

– 78.0

– 76.1

– 78.5

– 76.0

\(g_2^1\)

0.0

0.7

5.6

3.3

\(h_2^1\)

0.0

0.0

0.7

– 0.1

\(g_2^2\)

0.0

0.3

0.5

0.4

\(h_2^2\)

0.0

0.4

4.1

4.5

\(g_3^0\)

– 20.0

– 19.5

– 14.3

– 20.8

\(g_3^1\)

0.0

0.6

– 0.5

0.4

\(h_3^1\)

0.0

– 0.1

0.9

– 0.2

\(g_3^2\)

0.0

– 1.9

15.2

– 2.1

\(h_3^2\)

0.0

0.2

0.4

– 0.2

\(g_3^3\)

0.0

0.8

– 3.0

– 0.4

\(h_3^3\)

0.0

– 0.4

14.4

5.1

\(q_1^0\)

– 34.0

– 35.9

\(q_1^1\)

– 8.3

– 7.2

\(s_1^1\)

– 6.4

– 9.1