Algebraic Quantification of the Contribution of Active Regions to the Sun's Dipole Moment: Applications to Century-scale Polar Field Estimates and Solar Cycle Forecasting

Abstract

The solar cycle is generated by a magnetohydrodynamic dynamo mechanism which involves the induction and recycling of the toroidal and poloidal components of the Sun's magnetic field. Recent observations indicate that the Babcock-Leighton mechanism -- mediated via the emergence and evolution of tilted bipolar active regions -- is the primary contributor to the Sun's large-scale dipolar field. Surface flux transport models and dynamo models have been employed to simulate this mechanism, which also allows for physics-based solar cycle forecasts. Recently, an alternative analytic method has been proposed to quantify the contribution of individual active regions to the Sun's dipole moment. Utilizing solar cycle observations spanning a century, here, we test the efficacy of this algebraic approach. Our results demonstrate that the algebraic quantification approach is reasonably successful in estimating dipole moments at solar minima over the past century -- providing a verification of the Babcock-Leighton mechanism as the primary contributor to the Sun's dipole field variations. We highlight that this algebraic methodology serves as an independent approach for estimating dipole moments at the minima of solar cycles, relying on characteristics of bipolar solar active regions. We also show how this method may be utilized for solar cycle predictions; our estimate of the Sun's dipole field at the end of cycle 24 using this approach indicates that solar cycle 25 would be a moderately weak cycle, ranging between solar cycle 20 and cycle 24.

References in corpus (23)

• Exploring the Physical Basis of Solar Cycle Predictions: Flux Transport Dynamics and Persistence of Memory in Advection versus Diffusion Dominated Solar Convection Zones
• The crucial role of surface magnetic fields for the solar dynamo
• Progress in Solar Cycle Predictions: Sunspot Cycles 24-25 in Perspective
• Magnetic Flux Transport at the Solar Surface
• Effects of the scatter in sunspot group tilt angles on the large-scale magnetic field at the solar surface
• Calibrating 100 Years of Polar Faculae Measurements: Implications for the Evolution of the Heliospheric Magnetic Field
• Models for the long-term variations of solar activity
• Surface Flux Transport on the Sun
• Improvement of solar cycle prediction: Plateau of solar axial dipole moment
• Physical Models for Solar Cycle Predictions
• Mean field models of flux transport dynamo and meridional circulation in the Sun and stars
• Towards an algebraic method of solar cycle prediction I. Calculating the ultimate dipole contributions of individual active regions
• A proposed paradigm for solar cycle dynamics mediated via turbulent pumping of magnetic flux in Babcock-Leighton type solar dynamos
• An update of Leighton's solar dynamo model
• A 3D kinematic Babcock Leighton solar dynamo model sustained by dynamic magnetic buoyancy and flux transport processes
• Different contributions to space weather and space climate from different big solar active regions
• Impact of Anomalous Active Regions on the Large-scale Magnetic Field of the Sun
• Discovery of a relation between the decay rate of the Sun's magnetic dipole and the growth rate of the following sunspot cycle: a new precursor for solar cycle prediction
• Evidence of persistence of weak magnetic cycles driven by meridional plasma flows during solar grand minima phases
• Algebraic quantification of an active region's contribution to the solar cycle
• Long-term forcing of Sun's coronal field, open flux and cosmic ray modulation potential during grand minima, maxima and regular activity phases by the solar dynamo mechanism
• Towards an algebraic method of solar cycle prediction II. Reducing the need for detailed input data with ARDoR
• Exploring the Solar Poles: The Last Great Frontier of the Sun

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• On the origin of long-term modulation in the Sun's magnetic activity cycle
• Extreme Fluctuations in the Sun's Activity over the Modern Maximum: Understanding the Enigmatic Solar Cycles 19-20
• Recovery of the Solar Cycle from Maunder-like Grand Minima Episodes: A Quantification of the Necessary Polar Flux Threshold through Solar Dynamo Simulations
• Solar Cycle Prediction: Challenges, Progress, and Future Perspectives