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Induced Magnetic Field in Accretion Disks Around Neutron Stars: The Solution for the Induced Fieldby@magnetosphere
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Induced Magnetic Field in Accretion Disks Around Neutron Stars: The Solution for the Induced Field

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March 8th, 2024
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This paper explores the interaction between accretion disks and neutron star magnetic fields, presenting a detailed model.
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Magnetosphere: Maintaining Habitability on Earth

Magnetosphere: Maintaining Habitability on Earth

@magnetosphere

Shielding the planet from harmful solar radiation.

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This paper is available on arxiv under CC 4.0 license.

Authors:

(1) A. V. Kuzin, Sternberg Astronomical Institute, Moscow, Russia and E-mail: alv.kuzin@gmail.com.

Abstract and Introduction

Model of Disk and Neutron Star

Main Equations

The Solution for the Induced Field

Discussion

Conclusion and References

4. THE SOLUTION FOR THE INDUCED FIELD

image


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where A, C may be found easily from boundary conditions.


The problem for u may be solved in the following way. First, we solve the Sturm-Liouville problem with corresponding boundary conditions:


image


Eigenfunctions of (27) are combinations of Bessel functions of the first and second kind:


image


while the eigenvalues are roots of the equation:


image


image

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