Magnetic Mirror and particle trap

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In a magnetic mirror, charged particles behave differently based on their velocity direction relative to the magnetic field. Particle A, moving parallel to the magnetic field, will not experience a force that can trap it, while particle B, moving perpendicular to the field, will experience a force that can lead to trapping. The discussion highlights the importance of understanding the components of velocity in relation to the magnetic field's strength. The concept of separating particles into distinct environments aids in analyzing their individual behaviors. Ultimately, the dynamics of particle motion in magnetic fields are crucial for understanding particle trapping mechanisms.
QuarkDecay
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Suppose we have two charged particles A and B released in the center of the Mirror (where the field is minimum). If A's velocity direction is parallel with the Magnetic field of the mirror and B's velocity is perpendicular with the field, then which one is going to get trapped, or escape, or neither?

I'm confused because the only example I could find was with only one particle moving with a random angle (different than 90 degrees or 0 degrees), and it separates its angle into one parallel and a perpedicular. When the particle heads towards the edges where the fiels is strong, the perpendicular component increases while the parallel descreases.
But I don't know how this could apply for two separate particles.
 
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QuarkDecay said:
But I don't know how this could apply for two separate particles.
That's easy. Assuming that the particles are non-interacting, you can put them in separate bottles and see what each does in its own environment. What (I think) you are asking is what happens when a particle has a velocity that is (a) exactly perpendicular to the symmetry axis or (b) exactly along the symmetry axis. Is that your question?
 
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