PLANETARY ORBITS IN THE ELLIPTIC RESTRICTED PROBLEM - IV - THE ADS-12033 SYSTEM

Numerical simulations are made within the frame of the elliptic plane restricted three-body problem, in order to search if stable orbits exi st for planets around one of the two components in double stars. The A DS 12033 system is investigated here. Large stable planetary orbits, a lready known to exist (more precisely, known to be possible from the d ynamical point of view) through a systematic exploration of the circul ar model and for several cases of the elliptic model (Sun-Jupiter, alp ha Centauri, Sirius and eta Coronae Borealis), are found to exist arou nd ADS 12033 A and ADS 12033 B up to distances from each star of the o rder of more than half the binary's periastron separation. Moreover, n early circular stable planetary orbits are found to exist in the so-ca lled ''habitable zone'' around each star.