Physics
Scientific paper
Jan 1971
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971amjph..39..103f&link_type=abstract
American Journal of Physics, Volume 39, Issue 1, pp. 103-107 (1971).
Physics
Scientific paper
The use of the computer to integrate a system of ordinary differential equations has been incorporated into a course for advanced students. The pedagogical value of the problem chosen, which is Størmer's method for numerical integration of the equation of motion for a charged particle in a dipole magnetic field, is discussed. It is pointed out that a procedure developed by Størmer in 1936 for finding individual cosmic ray trajectories forms an adequate substitute for a table of trajectories for the dipole approximation to the Earth's magnetic field if one programs Størmer's numerical procedure for an electronic computer. Trajectories of primary cosmic ray particles incident on the top of the atmosphere at 41° north geomagnetic latitude have been calculated by numerical integration for a variety of energies and directions at the point of impact. The mathematical problem is reviewed, the results are presented as graphs of representative trajectories, and a table of asymptotic directions is given for those trajectories.
French John D.
Lamb William H.
Young Philip J.
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