CMMSE: Study of a new symmetric anomaly in the elliptic, hyperbolic, and parabolic Keplerian motion
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comunitat-uji-handle2:10234/7037
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Title
CMMSE: Study of a new symmetric anomaly in the elliptic, hyperbolic, and parabolic Keplerian motionDate
2022-07-20Publisher
John Wiley & Sons, LtdISSN
0170-4214; 1099-1476Bibliographic citation
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.8586Type
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/publishedVersionSubject
Abstract
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. [-]
Is part of
Mathematical Methods in the Applied Sciences (2022)Funder Name
Universitat Jaume I
Project code
16I358.01/1
Project title or grant
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.