Circular Restricted n-Body Problem

This paper introduces the Circular Restricted n-Body Problem (CRNBP), an extension of bicircular restricted four-body problem (BCR4BP) designed to describe dynamics n-body system. In CRNBP, each massive body in system is constrained follow a Keplerian motion, similar BCR4BP's artificial constraint. The CRNBP efficient alternative for trajectory design multiple-body systems, particularly outer planetary as it requires integrating only six first-order ordinary differential equations compared 6N ephemerides model. By reproducing complex dynamical behaviors observed problems, we demonstrate structural stability CRNBP. Additionally, propose straightforward approach relate with ephemerides, enabling exploration possibilities before committing dedicated analysis. allows identification general and provides valuable insights into multiple systems. Finally, illustrative examples highlight richness trajectories potential advantages using designing proves be tool preliminary design, facilitating low-energy providing foundation further future studies.