  The Broucke-Hadjidemetriou-H\'{e}non's (BHH) orbits are a family of periodic
orbits of the three-body system with the simplest topological free group word
$a$, while the BHH satellites have free group words $a^k$ ($k>1$), where $k$ is
the topological exponent. Jankovi\'{c} and Dmitra\v{s}inovi\'{c} [Phy. Rev.
Lett. 116, 064301 (2016)] reported 57 new BHH satellites with equal mass and
found that at a fixed energy the relationship between the angular momentum
($L$) and the topologically rescaled period ($T/k$) is the same for both of the
BHH orbits ($k=1$) and the BHH satellites ($k>1$). In this letter, we report
419,743 new BHH orbits ($k=1$) and 179,253 new BHH satellites ($k>1$) of the
three-body system with unequal mass, which have never been reported, to the
best of our knowledge. Among these newly-found 598,996 BBH orbits and
satellites, about 33.5 % (i.e., 200,686) are linearly stable and thus many
among them might be observed in practice. Besides, we discover that, for the
three-body system with unequal mass at a fixed energy, relationship between the
angular momentum ($L$) and topologically rescaled period ($T/k$) of the BHH
satellites ($k>1$) is different from that of the BHH orbits ($k=1$).

Chaotic Dynamics