The disturbing function for polar Centaurs and transneptunian objects

Autor(es)

Namouni, F. ; Morais, M. H. M.

• Tipo de documento: Artigo Científico
• Fonte: Monthly Notices of the Royal Astronomical Society; v. 471, n. 2, p. 2097-2110, OCT 2017.
• Citações Web of Science: 8

Resumo

The classical disturbing function of the three-body problem is based on an expansion of the gravitational interaction in the vicinity of nearly coplanar orbits. Consequently, it is not suitable for the identification and study of resonances of the Centaurs and transneptunian objects on nearly polar orbits with the Solar system planets. Here, we provide a series expansion algorithm of the gravitational interaction in the vicinity of polar orbits and produce explicitly the disturbing function to fourth order in eccentricity and inclination cosine. The properties of the polar series differ significantly from those of the classical disturbing function: the polar series can model any resonance, as the expansion order is not related to the resonance order. The powers of eccentricity and inclination of the force amplitude of a p:q resonance do not depend on the value of the resonance order |p-q| but only on its parity. Thus, all even resonance order eccentricity amplitudes are alpha e(2) and odd ones alpha e to lowest order in eccentricity e. With the new findings on the structure of the polar disturbing function and the possible resonant critical arguments, we illustrate the dynamics of the polar resonances 1:3, 3:1, 2:9 and 7:9 where transneptunian object 471325 could currently be locked. (AU)

• Processo FAPESP: 15/17962-5 - Tópicos de dinâmica orbital e métodos de aprendizagem de máquinas para análise de dados de sistemas planetários
• Beneficiário: Maria Helena Moreira Morais
• Modalidade de apoio: Auxílio à Pesquisa - Regular