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

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

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10.02.2014 Views

– As particles bounce they will drift because of gradient and curvature drift motion. – If the field is a dipole their trajectories will take them around the planet and close on themselves. • The third adiabatic invariant – As long as the magnetic field doesn’t change much in the time required to drift around a rplanet the magnetic flux Φ = ∫ B ⋅ nˆ dA inside the orbit must be constant. – Note it is the total flux that is conserved including the flux within the planet.

– As particles bounce they will drift<br />

because <strong>of</strong> gradient and<br />

curvature drift motion.<br />

– If the field is a dipole their<br />

trajec<strong>to</strong>ries will take them around<br />

the planet and close on<br />

themselves.<br />

• The third adiabatic invariant<br />

– As long as the magnetic field<br />

doesn’t change much in the time<br />

required <strong>to</strong> drift around a rplanet<br />

the magnetic flux Φ = ∫ B ⋅ nˆ<br />

dA<br />

inside the orbit must be constant.<br />

– Note it is the <strong>to</strong>tal flux that is<br />

conserved including the flux<br />

within the planet.

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