Triple systems are common and key objects in astronomy. The three-body problem has received much more attention in recent years [1–3]. All observed periodic triple stars systems [4–6] belong to the Broucke-Hadjidemetriou-Hénon’s (BHH) family [7–9]. The BHH orbits are a family of periodic orbits of the three-body system with the simplest topological free group word  a, while Jankovíc and Dmitrasinovíc  gained 58 equal-mass BHH satellite orbits which have free group words ak (k > 1), where k is the topological exponent. However, the BHH satellite orbits with equal mass is lack of realistic meaning because they do not exist in practice. Here we present 419743 new BHH orbits and 179253 new BHH satellites (k > 1) for three-body system with unequal mass. Especially, 48761 among the 179253 new BHH satellites are stable and have unequal masses. It suggests that these 48761 stable BHH satellites could be found by the observation. Besides, for the three-body system with equal mass at a fixed energy, it was demonstrated that the relationship between the angular momentum (L) and topological scaled period (T/k) of the BHH satellites is the same as that of the BHH orbits . However, we found that this does not hold for the three-body system with unequal mass. Our findings have broad impact for the astrophysical scenario: they could inspire the theoretical and observational study of the triple system, the formation of triple stars , the gravitational waves pattern  and the gravitational waves observation  of the triple system.