Reinterpreting the Burton-McPherron-Russell equation for predicting Dst

Physics

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Magnetospheric Physics: Magnetic Storms And Substorms (7954), Magnetospheric Physics: Ring Current, Magnetospheric Physics: Solar Wind/Magnetosphere Interactions, Magnetospheric Physics: Magnetotail, Magnetospheric Physics: Magnetospheric Configuration And Dynamics

Scientific paper

The simple equation proposed by Burton et al. (1975) and extensively applied with considerable success for predicting the time series of the geomagnetic storm index Dst is generally derived solely from conservation of energy, without describing the specific energization processes. More recently, numerical simulation models of ring current evolution have relied on the opposite approximation: they describe the energization and loss processes, without imposing conservation of energy. The fact that predictions of Dst by both methods agree reasonably well with each other and with observations suggests that some of the assumptions need to be reexamined. The Dessler-Parker-Sckopke theorem, in its generalized form, contains a magnetotail surface term proportional to the open magnetic flux, the time derivative of which equals the difference between the electric field integrals along the dayside and along the nightside reconnection lines. The dayside integral contributes a term to the equation for (d/dt)Dst that is identical in form and (within the uncertainties) consistent in magnitude with the empirically determined source term of the Burton-McPherron-Russell equation. The success of the empirical equation in predicting Dst then implies that the remaining terms in the equation, the contribution of the nightside integral of the magnetotail term and the rate of increase of plasma energy content, sum to zero. The simplest interpretation is that the energy of ring current plasma is indeed being supplied primarily from the magnetotail by processes that involve nightside reconnection in an essential way.

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