EXPLORING THE IMPACT OF A THREE-BODY INTERACTION ADDED TO THE GRAVITATIONAL POTENTIAL FUNCTION IN THE RESTRICTED THREE-BODY PROBLEM

摘要

Many binary star systems (e.g., pulsar-white dwarf) are known to possess significantly smallercompanions, such as an exoplanet, in orbit about the binary. In this investigation, the dynamicalenvironment near the binary is modeled using a three-body interaction added to theinverse-square pairwise gravitational forces in the circular, restricted three-body problem(CR3BP), given a mass ratio of 0.3. This additional force contribution is assumed to dependinversely on the product of the distances between the three bodies. Frequency analysis isused to characterize the effect of this three-body interaction on periodic and quasi-periodicorbits in the exterior region for a large mass ratio binary. Sufficiently scaled attractive threebodyinteractions appear to induce period-multiplying bifurcations, with a low multiplicativefactor, along families of periodic orbits, an effect that is not reproducible using large mass ratiosin the range [0.2, 0.4] in the CR3BP. Repulsive three-body interactions appear to impactthe formation of families of periodic orbits, influencing the location of stable and unstableorbits within a periodic orbit island chain. In addition, repulsive interactions influence theopenings of the Lagrange point gateways, as compared with the CR3BP.