Abstract
Exoplanetary system HD 4732 harbors two planets (b and c) in elliptic orbits. The host star (HD 4732) is more energetic than the Sun, while the planets are Jupiter-class. In this work we deal with the triangular equilibrium points with respect to planet HD 4732c because, interestingly, its orbit is located in habitable zone. For this purpose, we set this system to the elliptical restricted three-body problem with primaries (two massive bodies) consisting of the host star and planet HD 4732c. Based on Newtonian gravity in the rotating coordinate frame, we analytically derive the triangular equilibrium points by simply modeling the energetic radiation of the star. We then find that the triangular equilibrium points (Trojans) are stable. This implies an opportunity to discover stable Trojan o bjects (or a low-mass planet) residing around the triangular points and also in habitable zone.
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