2016
DOI: 10.1051/swsc/2016011
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An empirical model of heliospheric cosmic ray modulation on long-term time scale

Abstract: Galactic Cosmic Rays (GCRs) entering the heliosphere are subject to modulation processes due to variable solar magnetic activity. Finding a relationship between cosmic-ray variations and the heliospheric parameters is important for reconstruction of solar activity in the past. Here, we develop a semi-empirical model describing the heliospheric modulation of GCRs in terms of heliospheric parameters such as the open solar magnetic flux, the tilt angle of the heliospheric current sheet and the polarity of the lar… Show more

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Cited by 17 publications
(17 citation statements)
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“…These reconstructions use the regressions based on the exceptionally high correlations between Pa, as observed by near-Earth interplanetary craft, and the geomagnetic indices obtained using the 34 years in the interval 1964-2016 when the availability of interplanetary data f exceeds 0.5. The reconstructions are then tested by studying the fit residuals with observed values which is possible for 1967-2016for AE and 1932-2016 for Ap. Furthermore tests were made using the corrected aa index (designed to mimic Ap on annual timescales) for 1868-2016.…”
Section: Resultsmentioning
confidence: 99%
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“…These reconstructions use the regressions based on the exceptionally high correlations between Pa, as observed by near-Earth interplanetary craft, and the geomagnetic indices obtained using the 34 years in the interval 1964-2016 when the availability of interplanetary data f exceeds 0.5. The reconstructions are then tested by studying the fit residuals with observed values which is possible for 1967-2016for AE and 1932-2016 for Ap. Furthermore tests were made using the corrected aa index (designed to mimic Ap on annual timescales) for 1868-2016.…”
Section: Resultsmentioning
confidence: 99%
“…Fortunately, there are independent tests that can be applied for most of interval A, provided by the cosmogenic isotopes 14 C (found in tree trunks), 10 Be (in ice sheets) and 44 Ti (in meteorites). Tests using all 3 of these show that the reconstructed OSF predicts well with the variation of their abundances back to, and during, the Maunder minimum (Lockwood, 2001(Lockwood, , 2003Usoskin et al, 2015;Owens et al, 2016b;Asvestari & Usoskin, 2016;Asvestari et al, 2017). Initially these tests used simple linear regressions of OSF and the cosmogenic isotope abundances but, more recently, have evolved to employ relationships between the two based on the physics of cosmic ray shielding by the heliospheric field.…”
Section: Discussionmentioning
confidence: 99%
“…In brief, the OSF is modelled as a continuity equation (Solanki, Schüssler & Fligge 2000), with the source term, S, set by an empirical relation to SN using the data for the recent decades. The loss term, L, varies with the heliospheric current sheet inclination, which is assumed to be invariant between solar cycles (Asvestari & Usoskin 2016). The magnitude of L was derived using comparison with an OSF series, determined empirically from geomagnetic data for 1845-2013 (Lockwood et al 2014a).…”
Section: The Magnetic Osfmentioning
confidence: 99%
“…One of the main heliospheric parameters, affecting the modulation potential, φ, is the OSF. Here we use a semi-empirical heliospheric modulation model (Asvestari & Usoskin 2016), which uses the OSF, the tilt angle of the heliospheric current sheet and the polarity of the heliospheric magnetic field to compute the modulation potential. Changes in the solar wind velocity and density are not considered in the model since their net relation with the global cosmic-ray modulation is insignificant (Belov 2000;Alanko-Huotari et al 2006;Sabbah & Rybansky 2006).…”
Section: The Heliospheric Modulation Potentialmentioning
confidence: 99%
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