Relationships among the harmonic coefficients of scan plane anisotropies

Physics

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Cerenkov Counters, Error Analysis, Harmonic Functions, Particle Flux Density, Roll, Spaceborne Telescopes, Distribution Functions, Electron Flux Density, Fourier Analysis, Magnetic Moments, Pioneer 11 Space Probe, Proton Flux Density, Saturn Atmosphere, Vlasov Equations

Scientific paper

Frequently, a detector on a spinning spacecraft measures the flux of charged particles whose velocities lie in a plane containing the magnetic field. This flux may be Fourier analyzed as a function of the spacecraft roll angle. Relationships among the Fourier coefficients are derived using the adiabatic solution of the Vlasov equation. These relationships depend only on the fact that the lowest order (in gyroradius) of the distribution function is a function of the magnetic moment and that the first-order term is a function of the lowest order. These relationships may be used to separate the proton from the electron counts registered in Saturn's inner magnetosphere by the University of California's Cerenkov counter on Pioneer 11.

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