SIMBAD references

Numerical simulations are made within the frame of the elliptic plane restricted three-body problem, in order to search if stable orbits exist for planets around one of the two components in double stars. The η Coronae Borealis system is investigated here. Large stable planetary orbits, already known to exist through a systematic exploration of the circular model and for the Sun-Jupiter, the α Centauri and the Sirius elliptic cases, are found to exist around η CrB A and η CrB B up to distances from each star of the order of more than half the binary's periastron separation. Moreover, nearly circular stable planetary orbits are found to exist in the so-called "habitable zone" around each star.