{"title":"格涅维舍夫-奥赫尔规则:现状","authors":"Yu. A. Nagovitsyn, A. A. Osipova, V. G. Ivanov","doi":"10.1134/S1063772924700069","DOIUrl":null,"url":null,"abstract":"<p>A statistical study on the statements of the Gnevyshev–Ohl rule (GOR) and some of its interpretations has been carried out. The original formulation of the GOR states that for the summary index of solar activity over the 11-year cycle <span>\\(\\Sigma W\\)</span>, there is a close connection in pairs of even and subsequent odd cycles (EO), while opposite pairs (OE) exhibit no such connection. This statement strictly holds with the significance level <span>\\(\\alpha = 0.01\\)</span> for the new version of the sunspot index SN 2.0 (Wolf numbers). In this case, an even cycle is followed by an odd cycle with a greater <span>\\(\\Sigma W\\)</span>. For amplitudes of cycles, the GOR is observed only as a trend, and the difference of connections in EO and OE pairs of cycles is statistically insignificant. The alternation of the cycle magnitude, both for the <span>\\(\\Sigma W\\)</span> parameter and the amplitudes, is also not statistically confirmed. It has been found that various aspects of the GOR are statistically better fulfilled for the new version of the sunspot index SN 2.0, which speaks in favor of further use of this index in solar physics.</p>","PeriodicalId":55440,"journal":{"name":"Astronomy Reports","volume":"68 1","pages":"89 - 96"},"PeriodicalIF":1.1000,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Gnevyshev–Ohl Rule: Current Status\",\"authors\":\"Yu. A. Nagovitsyn, A. A. Osipova, V. G. Ivanov\",\"doi\":\"10.1134/S1063772924700069\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>A statistical study on the statements of the Gnevyshev–Ohl rule (GOR) and some of its interpretations has been carried out. The original formulation of the GOR states that for the summary index of solar activity over the 11-year cycle <span>\\\\(\\\\Sigma W\\\\)</span>, there is a close connection in pairs of even and subsequent odd cycles (EO), while opposite pairs (OE) exhibit no such connection. This statement strictly holds with the significance level <span>\\\\(\\\\alpha = 0.01\\\\)</span> for the new version of the sunspot index SN 2.0 (Wolf numbers). In this case, an even cycle is followed by an odd cycle with a greater <span>\\\\(\\\\Sigma W\\\\)</span>. For amplitudes of cycles, the GOR is observed only as a trend, and the difference of connections in EO and OE pairs of cycles is statistically insignificant. The alternation of the cycle magnitude, both for the <span>\\\\(\\\\Sigma W\\\\)</span> parameter and the amplitudes, is also not statistically confirmed. It has been found that various aspects of the GOR are statistically better fulfilled for the new version of the sunspot index SN 2.0, which speaks in favor of further use of this index in solar physics.</p>\",\"PeriodicalId\":55440,\"journal\":{\"name\":\"Astronomy Reports\",\"volume\":\"68 1\",\"pages\":\"89 - 96\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2024-05-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Astronomy Reports\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1063772924700069\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ASTRONOMY & ASTROPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Astronomy Reports","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063772924700069","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
摘要
摘要 对格涅维舍夫-奥尔规则(GOR)的表述及其一些解释进行了统计研究。GOR的最初表述是,对于11年周期的太阳活动汇总指数(\Σ W\ ),偶数周期和随后的奇数周期(EO)成对存在密切联系,而相反的周期(OE)成对则不存在这种联系。在新版太阳黑子指数 SN 2.0(沃尔夫数)的显著性水平(α = 0.01)下,这一说法严格成立。在这种情况下,一个偶数周期之后是一个奇数周期,奇数周期的 \(\Sigma W\) 更大。对于周期的振幅,GOR 只观察到一种趋势,EO 和 OE 对周期的连接差异在统计上并不显著。周期幅度的交替,无论是对于(\σ W\ )参数还是幅度,在统计上也没有得到证实。研究发现,新版太阳黑子指数 SN 2.0 在统计学上更好地满足了 GOR 的各个方面,这有利于在太阳物理学中进一步使用该指数。
A statistical study on the statements of the Gnevyshev–Ohl rule (GOR) and some of its interpretations has been carried out. The original formulation of the GOR states that for the summary index of solar activity over the 11-year cycle \(\Sigma W\), there is a close connection in pairs of even and subsequent odd cycles (EO), while opposite pairs (OE) exhibit no such connection. This statement strictly holds with the significance level \(\alpha = 0.01\) for the new version of the sunspot index SN 2.0 (Wolf numbers). In this case, an even cycle is followed by an odd cycle with a greater \(\Sigma W\). For amplitudes of cycles, the GOR is observed only as a trend, and the difference of connections in EO and OE pairs of cycles is statistically insignificant. The alternation of the cycle magnitude, both for the \(\Sigma W\) parameter and the amplitudes, is also not statistically confirmed. It has been found that various aspects of the GOR are statistically better fulfilled for the new version of the sunspot index SN 2.0, which speaks in favor of further use of this index in solar physics.
期刊介绍:
Astronomy Reports is an international peer reviewed journal that publishes original papers on astronomical topics, including theoretical and observational astrophysics, physics of the Sun, planetary astrophysics, radio astronomy, stellar astronomy, celestial mechanics, and astronomy methods and instrumentation.