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Description
This study explores the potential secular migration trajectories of the ups-Andromeda system over time, leading to its present-day configuration. Focusing on a model of the three-body problem, the research examines the planets c and d, which are massive and reside in orbits within the system's ice line with moderate eccentricities. By applying small dissipative disturbances, the system's total energy and orbital angular momentum are modified, thus replicating the migration process (Rodríguez, Michtchenko & Miloni, 2011). We investigated forced changes in these physical parameters using a function called Angular Momentum Leakage (Michtchenko & Rodríguez, 2011), by the matter accretion during migration. This allows us to forecast the potential secular migration paths of the system, independent of the initiating migration mechanism, relying solely on variations in total energy and angular momentum.
