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Table 1 First loop of a 60 MeV energy proton with the basic radial distance

From: New method to determine proton trajectories in the equatorial plane of a dipole magnetic field

ρ

θ in radians

( θ-θ app )/θ %

1.000000

0

 

0.99674778

2.046283×10−3

0.1213

0.991148

5.138577×10−3

0.0476

0.987785

1.048920×10−2

0.0209

0.987394

1.203098×10−2

0.0173

0.990058

6.310101×10−3

0.0381

0.995200

2.626267×10−2

0.0050

1.001655

2.707027×10−2

0.0048

1.007859

2.462010×10−2

0.0052

1.0122026

1.941538×10−2

0.0055

1.013494

1.272709×10−2

0.0045

1.011368

6.208492×10−3

0.0021

1.006424

2.552444×10−2

0.0050

1.000000

1.635483×10−3

0.1150

  1. rC=1.5×6.378×106m, η=75.97.
  2. Parametric calculated exact coordinates ρ=r/rC and θ, as well as the error, (θ-θapp)/θ by using the approximate angular coordinate formula θapp, were tabulated.