  We present an analytic solution for tachyon condensation on a non-BPS D-brane
in Berkovits' open superstring field theory. The solution is presented as a
product of $2\times 2$ matrices in two distinct $GL_2$ subgroups of the open
string star algebra. All string fields needed for computation of the
nonpolynomial action can be derived in closed form, and the action produces the
expected non-BPS D-brane tension in accordance with Sen's conjecture. We also
comment on how D-brane charges may be encoded in the topology of the tachyon
vacuum gauge orbit.
