2007
DOI: 10.1029/2006ja012102
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Bifurcation of drift shells near the dayside magnetopause

Abstract: [1] Close to the dayside magnetopause, there is a region of space where each field line has two magnetic field minima, one near each cusp. That region is located around local noon, and extends about 1-2 R e from the magnetopause. Particles that enter this region with equatorial pitch angles sufficiently close to 90°will cross the dayside not along an equatorial path, but along one of the two branches on either side of the equatorial plane. The two branches are joined again past local noon. This process of drif… Show more

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Cited by 51 publications
(77 citation statements)
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References 27 publications
(39 reference statements)
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“…Therefore the following steps are carried out to obtain the outer boundary at a certain K parameter (K 0 ): (1) a bisection iterative method is applied in tracing each drift shells from the midnight meridian until the last closed drift shell L * max (α) is determined for a set of equatorial pitch angle α ranging from 20 to 90 • ; (2) the above procedure also provides the corresponding K parameter at the last closed drift shell for a specific equatorial pitch angle, i.e., K(α); (3) these L * max (K(α)) are then interpolated into L * max (K 0 ). (Shabansky, 1971;Öztürk and Wolf, 2007;Ukhorskiy et al, 2011) in which it does not come across the equator but bounces within one hemisphere, allowing a larger drift shell until it encounters the magnetopause boundary (see Kim et al, 2008, for an illustration). The quasi-periodic daily evolution of the last drift shell is caused by the warping of the tail current sheet across the magnetic equator in the T89 magnetic field model (Tsyganenko, 1989) that is used to account for the geodipole tilt angle.…”
Section: Initial Condition and Outer Boundarymentioning
confidence: 99%
“…Therefore the following steps are carried out to obtain the outer boundary at a certain K parameter (K 0 ): (1) a bisection iterative method is applied in tracing each drift shells from the midnight meridian until the last closed drift shell L * max (α) is determined for a set of equatorial pitch angle α ranging from 20 to 90 • ; (2) the above procedure also provides the corresponding K parameter at the last closed drift shell for a specific equatorial pitch angle, i.e., K(α); (3) these L * max (K(α)) are then interpolated into L * max (K 0 ). (Shabansky, 1971;Öztürk and Wolf, 2007;Ukhorskiy et al, 2011) in which it does not come across the equator but bounces within one hemisphere, allowing a larger drift shell until it encounters the magnetopause boundary (see Kim et al, 2008, for an illustration). The quasi-periodic daily evolution of the last drift shell is caused by the warping of the tail current sheet across the magnetic equator in the T89 magnetic field model (Tsyganenko, 1989) that is used to account for the geodipole tilt angle.…”
Section: Initial Condition and Outer Boundarymentioning
confidence: 99%
“…Another effect which adds to the complexity of outer belt dynamics is drift orbit bifurcations, also referred to as Shabansky orbits after Shabansky [1971]. Known for a long time [Northrop and Teller, 1960;Northrop, 1963;Roederer, 1970;Antonova et al, 2003], it recently received renewed attention [Öztürk and Wolf, 2007;Kim et al, 2008;McCollough et al, 2010;Wan et al, 2010] due to development of new particle tracing techniques and improved geomagnetic field models. In this paper we investigate the implications of drift orbit bifurcations for acceleration, transport and loss of the outer belt electrons.…”
Section: Introductionmentioning
confidence: 99%
“…Particles that undergo drift orbit bifurcations (blue color) violate the second invariant J at bifurcations, when the period of the bounce and the drift motions are no longer separated. This drives pitch angle and radial transport even when the magnetic field is constant [e.g., Antonova et al, 2003;Öztürk and Wolf, 2007;Wan et al, 2010]. Since the second invariant is not conserved, the drift orbits are not closed and the third invariant is undefined.…”
Section: Introductionmentioning
confidence: 99%
“…Actually, the LCDS is not unique but depends on the particle pitch angle. In fact, the situation is made much more complex by the possibility of drift-orbit bifurcation (DOB), which changes the second invariant (Öztürk and Wolf, 2007) and invalidates most calculations of L * but does not cause the same rapid loss of confinement. Since low values of equatorial pitch angle are less subject to DOB, as an expedient the LCDS is found (by iterative search) for a particle with equatorial pitch angle of 40 • at midnight.…”
Section: Global Settingmentioning
confidence: 99%