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A Brief Introduction to Space Plasma Physics.pdf - Institute of ...

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• The magnetic mirror<br />

– As a particle gyrates the current will be<br />

I =<br />

q<br />

T c<br />

where<br />

T c<br />

= π<br />

Ω<br />

c<br />

– The force on a dipole magnetic moment is<br />

where<br />

A = π r<br />

IA<br />

=<br />

π v<br />

2<br />

c<br />

2<br />

⊥<br />

2π<br />

Ω<br />

v<br />

= π<br />

Ω<br />

q Ω<br />

c<br />

2<br />

c<br />

=<br />

2<br />

⊥<br />

2<br />

c<br />

mv<br />

2B<br />

r<br />

dB<br />

F = −<br />

r µ ⋅∇B<br />

= −µ<br />

r<br />

dz<br />

µ = µ bˆ<br />

2<br />

⊥<br />

=<br />

2 µ

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