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Ann. Geophys., 33, 769-781, 2015
https://doi.org/10.5194/angeo-33-769-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
Regular paper
18 Jun 2015
In situ magnetotail magnetic flux calculation
M. A. Shukhtina and E. Gordeev St. Petersburg State University, Earth Physics Department, Ulyanovskaya 1, Petrodvoretz, St. Petersburg 198504, Russia
Abstract. We explore two new modifications of the magnetotail magnetic flux (F) calculation algorithm based on the Petrinec and Russell (1996) (PR96) approach of the tail radius determination. Unlike in the PR96 model, the tail radius value is calculated at each time step based on simultaneous magnetotail and solar wind observations. Our former algorithm, described in Shukhtina et al. (2009), required that the "tail approximation" requirement were fulfilled, i.e., it could be applied only tailward x ∼ −15 RE. The new modifications take into account the approximate uniformity of the magnetic field of external sources in the near and middle tail. Tests, based on magnetohydrodynamics (MHD) simulations, show that this approach may be applied at smaller distances, up to x ∼ −3 RE. The tests also show that the algorithm fails during long periods of strong positive interplanetary magnetic field (IMF) Bz. A new empirical formula has also been obtained for the tail radius at the terminator (at x = 0) which improves the calculations.

Citation: Shukhtina, M. A. and Gordeev, E.: In situ magnetotail magnetic flux calculation, Ann. Geophys., 33, 769-781, https://doi.org/10.5194/angeo-33-769-2015, 2015.
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Short summary
We explore two new modifications of the magnetotail magnetic flux calculation algorithm based on the pressure balance approach for the tail radius determination. The new modifications extend the scope of the algorithm to the inner magnetosphere, which is possible due to the approximate uniformity of the magnetic field of external sources. A new empirical formula for the tail radius at the terminator is also presented.
We explore two new modifications of the magnetotail magnetic flux calculation algorithm based on...
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