Abstract

We present the results of computations of the trajectories (the asymptotic latitude and asymptotic longitude) and the magnetic cutoff rigidity of galactic cosmic ray (GCR) particles for the airport Deblin, Poland (geographical latitude 51°33′32′′ N, geographical longitude 21°50′53′′ E) based on the numerical integration of equations of motion of charged particles of cosmic rays in the Earth’s magnetic field. The set of allowed trajectories at a given site on the surface of the Earth is called the asymptotic cone of acceptance The initial distance from the center of the Earth was taken to be 20 km above the Earth’s surface. At about this altitude, most cosmic rays undergo nuclear collisions. Calculations were made for different of models of the International Geomagnetic Reference Field (IGRF) from 1965–2015. The IGRF is an internationally agreed and widely used mathematical model of the Earth’s magnetic field of internal origin. Each constituent model of the IGRF is a set of spherical harmonics of degree n and order m, representing a solution to Laplace’s equation for the magnetic potential arising from sources inside the Earth at a given epoch. In all asymptotic direction calculations, we used sixth-degree expansion of geomagnetic field model. Schmidt normalized spherical harmonic coefficients were taken for the epochs from 1965 to 2015. Knowledge of asymptotic directions and the magnetic rigidity cutoff is important from the point of view of study different classes of cosmic rays variations intensity and anisotropy.

中文翻译：

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1965-2015年波兰德布林机场国际地磁参考场不同模型的银河宇宙射线粒子的接受度和磁刚度截止

摘要

我们给出了机场Deblin，波兰（地理纬度51°33′32′′N，地理经度）的轨迹（渐近纬度和渐近经度）和银河宇宙射线（GCR）粒子的磁截止刚度的计算结果21°50′53′′E）是基于地球磁场中宇宙射线带电粒子运动方程的数值积分。在地球表面上给定位置的一组允许轨迹称为渐近接受锥。距地球中心的初始距离被认为是距离地球表面20公里。大约在这个高度，大多数宇宙射线都会经历核碰撞。针对1965-2015年国际地磁参考场（IGRF）的不同模型进行了计算。IGRF是国际公认的并且广泛使用的内部起源地球磁场的数学模型。IGRF的每个组成模型都是一组度数的球谐函数n和m阶，代表拉普拉斯方程的解决方案，该方程用于在给定时期从地球内部源产生的磁势。在所有渐近方向计算中，我们都使用了地磁场模型的六次展开。取1965年至2015年期间的Schmidt归一化球谐系数。从研究不同类别的宇宙射线变化强度和各向异性的角度出发，了解渐近方向和磁刚度截止非常重要。