  The widespread detection of 60Fe in geological and lunar archives provides
compelling evidence for recent nearby supernova explosions within $\sim 100$ pc
around 3 Myr and 7 Myr ago. The blasts from these explosions had a profound
effect on the heliosphere. We perform new calculations to study the compression
of the heliosphere due to a supernova blast. Assuming a steady but
non-isotropic solar wind, we explore a range of properties appropriate for
supernova distances inspired by recent 60Fe data, and for a 20 pc supernova
proposed to account for mass extinctions at the end-Devonian period. We examine
the locations of the termination shock decelerating the solar wind and the
heliopause that marks the boundary between the solar wind and supernova
material. Pressure balance scaling holds, consistent with studies of other
astrospheres. Solar wind anisotropy does not have an appreciable effect on
shock geometry. We find that supernova explosions at 50 pc (95 pc) lead to
heliopause locations at 16 au (23 au) when the forward shock arrives. Thus, the
outer solar system was directly exposed to the blast, but the inner planets --
including the Earth -- were not. This finding reaffirms that the delivery of
supernova material to the Earth is not from the blast plasma itself, but likely
is from supernova dust grains. After the arrival of the forward shock, the
weakening supernova blast will lead to a gradual rebound of the heliosphere,
taking $\sim100$s of kyr to expand beyond 100 au. Prospects for future work are
discussed.
