Evaluation of disturbances due to test mass charging for LISA

This paper concerns the effects of the build-up of electrical charge on the LISA test masses. Charge accumulates on the isolated test masses due to the bombardment of the spacecraft by galactic cosmic rays and solar particles. This will result in forces on the test masses, due to Coulomb and Lorentz interactions, which will disturb their geodesic motion. The three main disturbances associated with this charge are an increase in the test mass acceleration noise, coupling between the test mass and the spacecraft and the appearance of coherent Fourier components in the measurement bandwidth. These disturbances are estimated using the latest charging rate and noise predictions from GEANT4 for both the LISA mission and the technology demonstration mission, LISA Pathfinder, at different times in the solar cycle. The Coulomb disturbances are evaluated based on a detailed 3D, electrostatic, finite element model and submodels of the LTP sensor. These results are compared with those derived using the customary parallel plate approximation to calculate capacitances, and the accuracy of these approximations is assessed for typical parameter settings. The variation of the magnitude of charging disturbances as different parameters are changed, and the management of such disturbances are discussed.

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