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The iterative method recently proposed for determining the internalconstitution of the outer crust of a nonaccreted neutron star is extended tomagnetars by taking into account the Landau-Rabi quantization of electronmotion induced by the presence of a very high magnetic field. It is shown thatin the strongly quantizing regime, the method can be efficiently implementedusing new analytical solutions for the transitions between adjacent crustallayers. Detailed numerical computations are performed to assess the performanceand precision of the method.

Analytical determination of the structure of the outer crust of a cold nonaccreted neutron star: extension to strongly quantizing magnetic fields