CMMSE: Study of a new symmetric anomaly in the elliptic, hyperbolic, and parabolic Keplerian motion
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Títol
CMMSE: Study of a new symmetric anomaly in the elliptic, hyperbolic, and parabolic Keplerian motionData de publicació
2022-07-20Editor
John Wiley & Sons, LtdISSN
0170-4214; 1099-1476Cita bibliogràfica
López Ortí JA, Agost Gómez V, Barreda Rochera M. CMMSE: Study of a newsymmetric anomaly in the elliptic, hyperbolic, and parabolic Keplerian motion.Math Meth Appl Sci. 2022;1-14.doi:10.1002/mma.8586Tipus de document
info:eu-repo/semantics/articleVersió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
In the present work, we define a new anomaly, Ψ, termed semifocal anomaly. It is determined by the mean between the true anomaly, f', and the antifocal anomaly, f'; Fukushima defined f' as the angle between the periapsis ... [+]
In the present work, we define a new anomaly, Ψ, termed semifocal anomaly. It is determined by the mean between the true anomaly, f', and the antifocal anomaly, f'; Fukushima defined f' as the angle between the periapsis and the secondary around the empty focus. In this first part of the paper, we take an approach to the study of the semifocal anomaly in the hyperbolic motion and in the limit case corresponding to the parabolic movement. From here, we find a relation between the semifocal anomaly and the true anomaly that holds independently of the movement type. We focus on the study of the two-body problem when this new anomaly is used as the temporal variable. In the second part, we show the use of this anomaly—combined with numerical integration methods—to improve integration errors in one revolution. Finally, we analyze the errors committed in the integration process—depending on several values of the eccentricity—for the elliptic, parabolic, and hyperbolic cases in the apsidal region. [-]
Publicat a
Mathematical Methods in the Applied Sciences (2022)Entitat finançadora
Universitat Jaume I
Codi del projecte o subvenció
16I358.01/1
Títol del projecte o subvenció
Proceso de mejora de catálogos celestes previos al ICRF3 y GAIA, con objeto de enlazar los sistemas HCRF-ICRF2-GCRF
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info:eu-repo/semantics/openAccess
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- MAT_Articles [766]
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© 2022 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley & Sons, Ltd.