The shape of twisted, line-tied coronal loops

P. K. Browning, A. W. Hood

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)


The magnetostatic equilibrium of a coronal loop in response to slow twisting of the photospheric footpoints is investigated. A numerical code is used to solve the full nonlinear two-dimensional axisymmetric problem, extending earlier linearized models which assume weak twist and large aspect ratio. It is found that often the core of the loop tends to contract into a region of strong longitudinal field while the outer part expands. It is shown that, away from the photospheric footpoints, the equilibrium is very well approximated by a straight one-dimensional cylindrical model. This idea is used to develop a simple method for prescribing the footpoint angular displacement and calculating the equilibrium.
Original languageEnglish
Pages (from-to)271-288
JournalSolar Physics
Publication statusPublished - 1 Sept 1989


  • Coronal Loops
  • Photosphere
  • Solar Magnetic Field
  • Current Density
  • Iterative Solution
  • Magnetic Field Configurations
  • Magnetohydrodynamics


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