Numerical Computation of Periodic Orbits in the Planar Circular Restricted Three-Body Problem

• Grant number: 23/04069-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: June 01, 2023
• End date: May 31, 2024
• Field of knowledge: Engineering - Aerospace Engineering - Flight Dynamics
• Principal Investigator: Priscilla Andressa de Sousa Silva
• Grantee: Henrique Babo Terra
• Host Institution: Faculdade de Engenharia. Universidade Estadual Paulista (UNESP). Campus Experimental São João da Boa Vista. São João da Boa Vista , SP, Brazil

Abstract

This Scientific Initiation project proposes the investigation and numerical computation of periodic solutions of the Planar Circular Restricted Three-Body Problem (PCRTBP) aiming to explore applications in the context of space missions in the Solar System.Until the 1980s, the preliminary design of space missions was fundamentally based on the application of solutions to the Kepler Problem, a mathematical model that describes the gravitational interaction between two bodies. Currently, the design of modern missions demands the use of alternative models, such as the Three-Body Problem. Employing these models, space agencies propose new mission profiles with more challenging objectives, while seeking to minimize fuel usage.Thus, understanding the solutions of the PCRTBP is of great interest in practical applications in Astrodynamics, particularly in low-energy space mission design.