2004
DOI: 10.1029/2004ja010670
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On determining the nature and orientation of magnetic directional discontinuities: Problems with the minimum variance method

Abstract: [1] The minimum variance method (MVA) has been used for over 3 decades to analyze directional discontinuities in solar wind magnetic field data. We recount how MVA was formulated and show that it does not do what many expect. We demonstrate a robust alternative for distinguishing tangential discontinuities from rotational discontinuities (RDs). We also stress that averaging magnetic field data to time resolutions of a minute or more (common with National Space Science Data Center data sets) obliterates RDs.

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Cited by 15 publications
(20 citation statements)
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“…However, even at large distances from Mars (10–15 planetary radii), such wave activity could also be seen. As shown by Hausman et al [2004], this wave activity could be detected using running averages of ρ and the wave activity can be seen in the raw magnetometer data. Many TDs are evident in the data and often several can be seen in a single 5 min run so that the statistic for occurrence rates of TDs in the solar wind may be time‐resolution biased.…”
Section: Mars Global Surveyor Datamentioning
confidence: 92%
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“…However, even at large distances from Mars (10–15 planetary radii), such wave activity could also be seen. As shown by Hausman et al [2004], this wave activity could be detected using running averages of ρ and the wave activity can be seen in the raw magnetometer data. Many TDs are evident in the data and often several can be seen in a single 5 min run so that the statistic for occurrence rates of TDs in the solar wind may be time‐resolution biased.…”
Section: Mars Global Surveyor Datamentioning
confidence: 92%
“…As discussed elsewhere [ Hausman et al , 2004], a useful tool is the determination of the running values of ρ defined by where k is the sequential (but arbitrary) magnetic record number in a data stream. The expected values of ρ are zero under a number of interesting conditions such as times of slowly varying magnetic field and in the presence of tangential discontinuities (TD).…”
Section: Introductionmentioning
confidence: 99%
“…The first occurs near what Burch et al () identify as an exhaust jet, while the other lies within the magnetopause, with concomitant surges in E || (Figure , panel 4, shows E || for MMS1). The quantity ρ , shown for MMS1 in Figure (panel 5), is the rotational discontinuity finder as proposed by Hausman et al () that uses the magnetic field vectors from measurements before, during, and after a discontinuity crossing, ρ = ( B b × B d ) ⋅ B a , where the subscripts denote “before,” “during,” and “after,” respectively. The power of the finder ρ is that it is impervious to tangential discontinuities, picking out only rotational boundaries, which means that there is a magnetic field component normal to the boundary.…”
Section: Mms Observationsmentioning
confidence: 99%
“…Several authors (Behannon et al, 1981;Sonnerup and Scheible, 1998;Khrabrov and Sonnerup, 1998;Hausman et al, 2004) have pointed out problems when MVA is applied to magnetic discontinuities. One of these problems is related to the statistical nature of MVA.…”
Section: Step 3: Determining the Hcs Local Orientationmentioning
confidence: 98%