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Table 4.

EC model fit parameters in RTN coordinates.

s/c Longitude Tilt Rotation Ellipse ratio Cross-section Radius Distance χ2 Chirality
ϕ (deg) θ (deg) ξ (deg) δ (–) R (au) Y0 (au)

(1) (2) (3) (4) (5) (6) (7) (8) (9)
MESSENGER MC 295 25 73 0.44 0.052 −0.019 0.15 Positive
STEREO-B MC 58 −13 134 0.68 0.137 0.109 0.29 Negative
STEREO-A MC 325 −46 79 0.67 0.160 −0.086 0.22 Positive

Notes. Column 1: spacecraft. Column 2: MFR axis longitude (ϕ = [0...360]°). Column 3: inclination of the flux rope with respect to the equatorial plane (θ = [−90...+90]°). Column 4: MFR rotation about its central axis (ξ = [0...180]°). Column 5: MFR distortion (ratio between major and minor ellipse axis, δ = [0...1]). Column 6: MFR size. Column 7: distance from the spacecraft trajectory to the MFR axis (negative value means that the spacecraft is crossing the upper part of the structure). Column 8: goodness of the fitting (χ2 = [0...1]). Column 9: MFR handedness.

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