  The upcoming NASA mission HelioSwarm will use nine spacecraft to make the
first simultaneous multi-point measurements of space plasmas spanning multiple
scales. Using the wave-telescope technique, HelioSwarm's measurements will
allow for both the calculation of the power in wavevector-and-frequency space
and the characterization of the associated dispersion relations of waves
present in the plasma at MHD and ion-kinetic scales. This technique has been
applied to the four-spacecraft missions of CLUSTER and MMS and its
effectiveness has previously been characterized in a handful of case studies.
We expand this uncertainty quantification analysis to arbitrary configurations
of four through nine spacecraft for three-dimensional plane waves. We use
Bayesian inference to learn equations that approximate the error in
reconstructing the wavevector as a function of relative wavevector magnitude,
spacecraft configuration shape, and number of spacecraft. We demonstrate the
application of these equations to data drawn from a nine-spacecraft
configuration to both improve the accuracy of the technique, as well as expand
the magnitudes of wavevectors that can be characterized.
