ACTIVITY–BRIGHTNESS CORRELATIONS FOR THE SUN AND SUN-LIKE STARS

We analyze the effect of solar features on the variability of the solar irradiance in three different spectral ranges. Our study is based on two solar-cycles' worth of full-disk photometric images from the San Fernando Observatory, obtained with red, blue, and Ca II K-line filters. For each image we measure the photometric sum, {Sigma}, which is the relative contribution of solar features to the disk-integrated intensity of the image. The photometric sums in the red and blue continuum, {Sigma}{sub r} and {Sigma}{sub b}, exhibit similar temporal patterns: they are negatively correlated with solar activity, with strong short-term variability, and weak solar-cycle variability. However, the Ca II K-line photometric sum, {Sigma}{sub K}, is positively correlated with solar activity and has strong variations on solar-cycle timescales. We show that we can model the variability of the Sun's bolometric flux as a linear combination of {Sigma}{sub r} and {Sigma}{sub K}. We infer that, over solar-cycle timescales, the variability of the Sun's bolometric irradiance is directly correlated with spectral line variability, but inversely correlated with continuum variability. Our blue and red continuum filters are quite similar to the Stroemgren b and y filters used to measure stellar photometric variability. We conclude that active starsmore » whose visible continuum brightness varies inversely with activity, as measured by the Ca HK index, are displaying a pattern that is similar to that of the Sun, i.e., radiative variability in the visible continuum that is spot-dominated.« less

[1]  R. Leighton Observations of Solar Magnetic Fields in Plage Regions. , 1959 .

[2]  P. Conti,et al.  Color Anomalies and Metal Deficiencies in Solar-Type Disk-Population Stars , 1966 .

[3]  S. Saar,et al.  Relations between the photospheric magnetic field and the emission from the outer atmospheres of cool stars. I - The solar CA II K line core emission , 1989 .

[4]  K. L. Harvey,et al.  The distribution of solar magnetic fluxes and the nonlinearity of stellar flux-flux relations , 1989 .

[5]  S. Walton,et al.  Processing Photometric Full-Disk Solar Images , 1997 .

[6]  Gary A. Chapman,et al.  Solar Variability and the Relation of Facular to Sunspot Areas during Solar Cycle 22 , 1997 .

[7]  S. Baliunas,et al.  Patterns of Variation among Sun-like Stars , 1998 .

[8]  K. L. Harvey,et al.  Magnetic and Radiative Variability of Solar Surface Structures. I. Image Decomposition and Magnetic-Intensity Mapping , 1999 .

[9]  Claus Fröhlich,et al.  Observations of Irradiance Variations , 2000 .

[10]  Gary A. Chapman,et al.  Solar Feature Identification using Contrasts and Contiguity , 2001 .

[11]  S. Walton,et al.  Photometric quantities for solar irradiance modeling , 2002 .

[12]  A. Pevtsov,et al.  The Relationship Between X-Ray Radiance and Magnetic Flux , 2003 .

[13]  C. Fröhlich,et al.  Solar Irradiance Variability Since 1978 , 2007 .

[14]  A. Pevtsov,et al.  Large-scale Structures and their Role in Solar Activity , 2005 .

[15]  A new model of total solar irradiance based on sunspot areas , 2005 .

[16]  Modeling Solar Spectral Irradiance and Total Magnetic Flux Using Sunspot Areas , 2006 .

[17]  Patterns of Photometric and Chromospheric Variation among Sun-like Stars: A 20 Year Perspective , 2007, astro-ph/0703408.

[18]  Jeffrey C. Hall,et al.  THE ACTIVITY AND VARIABILITY OF THE SUN AND SUN-LIKE STARS. II. CONTEMPORANEOUS PHOTOMETRY AND SPECTROSCOPY OF BRIGHT SOLAR ANALOGS , 2009 .

[19]  N. Krivova,et al.  Solar Surface Magnetism and Irradiance on Time Scales from Days to the 11-Year Cycle , 2009 .

[20]  P. Pilewskie,et al.  Trends in solar spectral irradiance variability in the visible and infrared , 2009 .

[21]  D. Nandy,et al.  Empirical Modeling of Radiative versus Magnetic Flux for the Sun-as-a-Star , 2010, 1006.4354.