The Evolution of Jupiter’s Orbit in the Case of a Stellar Approach to the Solar System

The spatial motion of a passively gravitating body is investigated within the restricted threebody problem. The exact expression of the force function without expansion in series is used. The influence of the perturbing star as it approaches the Sun on the orbit of Jupiter is investigated. It is shown that a star of one to five solar masses that approaches the Solar System in a hyperbolic orbit within a minimum distance of 50 to 100 AU significantly affects the size and shape of Jupiter’s orbit only in the case when the sample star is at the perihelion, and Jupiter is in conjunction or in opposition to it. The results are shown in the form of figures and tables.