Table 1
List of all the free parametersa entering our magnetic field modelsb in the axisymmetric (m = 0) case.
| Parameter | Definition | Models | Impact on  map |
|
|
|||
| B 1 | Normalization field strength (Eqs. (11) and (20)) |
All | Overall amplitude |
| H | Scale height of Br at r1 (Eq. (11)) |
A, B | Latitudinal extent |
| L | Scale length of Bz at z1 (Eq. (20)) |
C, D | Longitudinal extent |
|
|
|||
| p0 | Pitch angle at origin (Eq. (23)) |
All | Longitudes of peaks & sign reversals over the whole sky |
| H p | Scale height of winding function (Eq. (23)) |
All | Longitudes of peaks & sign reversals, mainly at high | b | |
| L p | Scale length of winding function (Eq. (23)) |
All | Longitudes of peaks & sign reversals, mainly at large | ℓ | |
|
|
|||
| r1 | Reference radius | A, B | |
| | z1 | | Positive reference height | C, D | |
| a | Opening parameter for poloidal field lines (Eqs. (3) and (12)) |
A, C | Amplitude & location of dominant patches; location of sign reversal line |
| n | Power-law index for poloidal field lines (Eqs. (7) and (16)) |
B, D | |
Notes.
For the reasons explained in Appendix B, three of the initially free parameters (r1, | z1 |, n) are actually assigned a fixed value before the fitting process.
Only the halo-field models are listed here, but all the comments applying to one of the halo-field models A, B, or D also apply to the corresponding disk-field models Ad, Bd, or Dd (the halo-field model C has no disk counterpart). Moreover, model A was retained for completeness, even though its axisymmetric version diverges at r → 0.
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