A Review on Iterative and Series Solutions for Kepler's Equation (2021)
- Authors:
- USP affiliated authors: GARCIA, ROBERTA VELOSO - EEL ; MELO, MARIANA PEREIRA DE - EEL ; PARDAL, PAULA CRISTIANE PINTO MESQUITA - EEL ; FERREIRA, LEONARDO DE OLIVEIRA - EEL ; NISHIMOTO, PEDRO NOVAK - EEL
- Unidade: EEL
- DOI: 10.22533/at.ed.8292128103
- Subjects: MÉTODOS NUMÉRICOS; SOLUÇÕES PERIÓDICAS
- Keywords: Equação de Kepler; Kepler’s Equation; Numerical Methods; Iterative Solutions; Series Solutions
- Agências de fomento:
- Language: Inglês
- Abstract: The purpose is to review iterative and series methods applied to the solution of Kepler’s equation, which is solved over the entire range of elliptic motion. The method whose results will work as a reference is the Newton-Raphson’s numerical method. The results will be discussed around the number of iterations required until the convergence criterion is satisfied, that is, residual error in eccentric anomaly lower than rad (for iterative methods) or rad (for seriesbased methods) and the processing time. The advantages and drawbacks of each method will be presented.
- Imprenta:
- Publisher: Atena Editora
- Publisher place: Ponta Grossa-PR
- Date published: 2021
- Source:
- Título: Coleções desafios das engenharias: Engenharia Mecânica 2
- Volume/Número/Paginação/Ano: v.2, cap. 3, p.19-35, 2021
- Este periódico é de assinatura
- Este artigo é de acesso aberto
- URL de acesso aberto
- Cor do Acesso Aberto: bronze
-
ABNT
PARDAL, Paula Cristiane Pinto Mesquita et al. A Review on Iterative and Series Solutions for Kepler's Equation. Coleções desafios das engenharias: Engenharia Mecânica 2. Tradução . Ponta Grossa-PR: Atena Editora, 2021. v. 2. p. 19-35. Disponível em: https://doi.org/10.22533/at.ed.8292128103. Acesso em: 03 jan. 2026. -
APA
Pardal, P. C. P. M., Melo, M. P. de, Oliveira, J. F. N., Ferreira, L. de O., Nishimoto, P. N., & Garcia, R. V. (2021). A Review on Iterative and Series Solutions for Kepler's Equation. In Coleções desafios das engenharias: Engenharia Mecânica 2 (Vol. 2, p. 19-35). Ponta Grossa-PR: Atena Editora. doi:10.22533/at.ed.8292128103 -
NLM
Pardal PCPM, Melo MP de, Oliveira JFN, Ferreira L de O, Nishimoto PN, Garcia RV. A Review on Iterative and Series Solutions for Kepler's Equation [Internet]. In: Coleções desafios das engenharias: Engenharia Mecânica 2. Ponta Grossa-PR: Atena Editora; 2021. p. 19-35.[citado 2026 jan. 03 ] Available from: https://doi.org/10.22533/at.ed.8292128103 -
Vancouver
Pardal PCPM, Melo MP de, Oliveira JFN, Ferreira L de O, Nishimoto PN, Garcia RV. A Review on Iterative and Series Solutions for Kepler's Equation [Internet]. In: Coleções desafios das engenharias: Engenharia Mecânica 2. Ponta Grossa-PR: Atena Editora; 2021. p. 19-35.[citado 2026 jan. 03 ] Available from: https://doi.org/10.22533/at.ed.8292128103 - Rao-Blackwellized Particle Filter for the CBERS-4 attitude and gyros bias estimation
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Informações sobre o DOI: 10.22533/at.ed.8292128103 (Fonte: oaDOI API)
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