Simulation of the Radiation Reaction Orbits of a Classical Relativistic Charged Particle with Generalized Off-Shell Lorentz Force

Figure 8

See also Figure 9. Figures 8(a) and 9(a) a two-loop-cycle orbit, as shown in 𝑥̇¹,𝑥̈¹ graph (Figure 8(a)) and 𝜀,𝜀̇ graph (Figure 9(a)). Initial conditions: 𝑥̇⁰=0.8, 𝑥̇¹=0.1, 𝑥̇²=0.1, 𝑥̇³=0.1, 𝑥̈⁰=−10000, 𝑥̈¹=4, 𝑥̈²=5, 𝑥̈³=7,𝑀/𝛼=4.8⋅10⁷  GeV², and 𝜇=10⁻⁵  GeV^-1. Figures 8(b) and 9(b). The first loop cycle. 𝜀 has relatively low value (Figure 9(b)) when the value of 𝑥̇¹ is relatively high (Figure 8(b)). Figures 8(c) and 9(c). The second loop cycle, smaller than the first in the 𝜀,𝜀̇ graph and larger than the first in the 𝑥̇¹,𝑥̈¹ graph.

(a)

(b)

(c)