Dynamics of polar and retrograde orbits

• Grant number: 22/08716-4
• Support Opportunities: Regular Research Grants
• Start date: December 01, 2022
• End date: July 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Astronomy - Positional Astronomy and Celestial Mechanics
• Principal Investigator: Maria Helena Moreira Morais
• Grantee: Maria Helena Moreira Morais
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil

Abstract

Recent developments in the analytic modelling of polar and retrograde asteroids in resonance with the giant planets orbital frequencies allowed the identification of the first examples of these configurations in the solar system. In this project we will analyze the possibility of occurance of these type of resonances between extrasolar planets and also between satellites. We will also study the secular effects on polar and retrograde orbits that are caused by the non-spherical format of the central body in the case of satellites, and by additional planets in the case of planets, asteroids or comets. (AU)

Scientific publications

(5)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

SIGNOR, ALAN CEFALI; CARITA, GABRIEL ANTONIO; MORAIS, MARIA HELENA MOREIRA. A numerical study of fourth- and fifth-order retrograde mean motion resonances in planetary systems. Monthly Notices of the Royal Astronomical Society, v. 520, n. 3, p. 19-pg., 2023-02-15. (21/11982-5, 22/08716-4)

CARITA, G. A.; SIGNOR, A. C.; MORAIS, M. H. M.; DE CARVALHO, R. EGYDIO; PRADO, A. F. B. A.. Retrograde resonances at high mass ratio in the circular restricted 3-body problem. NONLINEAR DYNAMICS, v. 111, n. 18, p. 15-pg., 2023-08-09. (21/11982-5, 22/08716-4, 19/07329-4, 16/24561-0)

CARITA, G. A.; ALJBAAE, S.; PRADO, A. F. B. A.; SIGNOR, A. C.; MORAIS, M. H. M.; SANCHEZ, D. M.. Analysis of the natural orbits around Io. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, v. 135, n. 5, p. 18-pg., 2023-10-01. (21/11982-5, 22/08716-4, 21/08274-9, 16/24561-0)

CARITA, G. A.; MORAIS, M. H. M.; ALJBAAE, S.; PRADO, A. F. B. A.. Investigation of optimal transfers to retrograde co-orbital orbits in the Earth-Moon system. ASTROPHYSICS AND SPACE SCIENCE, v. 370, n. 4, p. 15-pg., 2025-04-01. (22/08716-4, 21/08274-9)

CARITA, G. A.; ALJBAAE, S.; MORAIS, M. H. M.; SIGNOR, A. C.; CARRUBA, V.; PRADO, A. F. B. A.; HUSSMANN, H.. Image classification of retrograde resonance in the planar circular restricted three-body problem. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, v. 136, n. 2, p. 24-pg., 2024-04-01. (22/08716-4, 21/08274-9)