Global%20Rotation%20Inversions

1
Global Rotation Inversions

• Profile rotation vs latitude and depth
• Tachocline, Near-Surface Shear

• Monitor evolution during solar cycle
• Zonal Flows, Tachocline changes (?)

2
Global Rotation

• Inversion codes exist
• RLS (Schou)
• OLA (Munk-Larsen)
• Models exist, but may need improving for
  high-degree modes
• Need strategy to pick best regularization

3
Global Rotation Inversions

• Input (for each 72d or 108d or whatever
  spectrum)
• Frequencies
• Odd a-coefficients or splittings (up to say
  l400??) what peakfinding code?
• Errors
• Eigenfunctions (from model)
• Regularization choice (standard or adaptive?)
• Near-surface results from local helioseismology

4
Global Rotation Inversions Output

• Rotation profile (W vs r, q) (CZ dynamics)
• Errors
• Averaging kernels (1 per target) (QA)
• Inversion coefficients (1 set per target) (QA)
• Correlation coefficients (QA)
• RLS residuals (QA)

5
Global Rotation Inversions -- extras

• More than one inversion code (OLA?)
• Custom inversions web interface
• RLS inversions already cheap, ought to be
  doable on laptop by 2006!
• Allow user to
• select regularization
• trim mode set
• Cumulative flow plots, movies
• Implement something similar for GONG DSDS

6
Time Required

• Incorporating local-helioseismology results
  6mths
• Investigate adaptive regularization 2 months
• Develop scripts and data formats to automate
  inversions for MDI 1 month
• ---------------------LAUNCH----------------------
• Adapt to HMI data 1 month
• Cross-validate HMI results 2 months
• Solve the mystery of the solar cycle priceless!

7
Local Mode Parameters

• Use magnetic parameter changes from ring
  diagrams to probe near-surface structure, fields.
• Back out magnetic effects to get frequencies
  for global structure inversions
• Input Ring-diagram parameters
• Output Structure info.