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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

A study of the errors of the averaged models in the restricted three-body problem in a short time scale

Texto completo
Domingos, R. C. [1] ; De Almeida Prado, A. F. B. [2] ; Vilhena De Moraes, R. [3]
Número total de Autores: 3
Afiliação do(s) autor(es):
[1] Univ Estadual Paulista, UNESP, Sao Joao Da Boa Vista, SP - Brazil
[2] Inst Nacl Pesquisas Espaciais, BR-12201 Sao Jose Dos Campos, SP - Brazil
[3] Univ Fed Sao Paulo, UNIFESP, Sao Jose Dos Campos, SP - Brazil
Número total de Afiliações: 3
Tipo de documento: Artigo Científico
Fonte: COMPUTATIONAL & APPLIED MATHEMATICS; v. 34, n. 2, p. 507-520, JUL 2015.
Citações Web of Science: 4

The objective of the present research is to study the accuracy of the double- and single-averaged models that are usually considered to predict the motion of spacecrafts or celestial bodies that have their motion perturbed by a third-body. Those two models are compared with each other and then validated against the complete elliptic restricted three-body problem. Those models are developed to give a faster but general behaviour of the motion of the perturbed body in a medium or longer time scale. The researches performed here verify the accuracy of those methods for shorter time scales by showing the differences in terms of the values of the inclination and eccentricity of the perturbed body predicted by those models. Those differences are calculated both at every instant of time and as an integral over the time. The use of the integral along the time for the errors is a new form to study those differences and show a more complete comparison of the accuracy of those approximations, completing the instantaneous picture given by the usual approach of looking at the instantaneous measurement. If the value of the integral is divided by the time integration, the mean error is obtained. The results show that the single-averaged model is better in the short time scale and the difference among those models is smaller when predicting the eccentricity than the inclination. The effects of the time scale is verified by varying the study to values from 2 days up to 50 revolutions of the Moon (1,366 days). Another important point found in the present paper is the range of the eccentricities of the perturbing body that accelerates the dynamics. (AU)

Processo FAPESP: 11/08171-3 - Dinâmica orbital de pequenos corpos
Beneficiário:Othon Cabo Winter
Linha de fomento: Auxílio à Pesquisa - Temático
Processo FAPESP: 11/09310-7 - Estudo orbital do movimento de veículos espaciais
Beneficiário:Antônio Fernando Bertachini de Almeida Prado
Linha de fomento: Auxílio à Pesquisa - Regular
Processo FAPESP: 12/21023-6 - Dinâmica de satélites artificiais
Beneficiário:Rodolpho Vilhena de Moraes
Linha de fomento: Auxílio à Pesquisa - Temático