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Future in situ space plasma investigations will likely involve spatiallydistributed observatories comprised of multiple spacecraft, beyond the four andfive spacecraft configurations currently in operation. Inferring the magneticfield structure across the observatory, and not simply at the observationpoints, is a necessary step towards characterizing fundamental plasma processesusing these unique multi-point, multi-scale data sets. We propose improvementsupon the classic first-order reconstruction method, as well as a second-ordermethod, utilizing magnetometer measurements from a realistic nine-spacecraftobservatory. The improved first-order method, which averages over selectensembles of four spacecraft, reconstructs the magnetic field associated withsimple current sheets and numerical simulations of turbulence accurately overlarger volumes compared to second-order methods or first-order methods using asingle regular tetrahedron. Using this averaging method on data sets with fewerthan nine measurement points, the volume of accurate reconstruction compared toa known magnetic vector field improves approximately linearly with the numberof measurement points.

Magnetic Field Reconstruction for a Realistic Multi-Point, Multi-Scale Spacecraft Observatory