Using the observed properties of our Solar System, in particular the isotop
ic compositions of meteorites and the regularity of the planetary orbits, w
e constrain the star formation environment of the Sun within the scenario o
f (external) radioactive enrichment by a massive star. This calculation yie
lds a probability distribution for the number of stars in the solar birth a
ggregate. The Sun is most likely to have formed within a stellar group cont
aining N = (N) approximate to 2000 +/- 1100 members. The a Priori probabili
ty of a star forming in this type of environment is p approximate to 0.0085
; i.e., only about 1 out of 120 solar systems are expected to form under si
milar conditions. We discuss additional implications of this scenario, incl
uding possible effects from the radiation fields provided by the putative c
luster environment and dynamical disruption of the Kuiper Belt. The constra
ints of this paper place tight restrictions on the properties of the solar
birth aggregate for the scenario of external enrichment by a massive star;
alternately, these tight constraints slightly favor a self-enrichment scena
rio for the short-lived radioactive species. (C) 2001 Academic Press.