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A Necessary Condition to the Simultaneous Correction of Celestial Reference Frames and Minor Planets Orbital Elements

Published online by Cambridge University Press:  12 April 2016

M.J. Martínez Usó ,
F. Marco Castillo  and
J.A. López Ortí
M.J. Martínez Usó
Affiliation:
Departamento de Matemática Aplicada. ETSII, Universidad Politécnica de Valencia, SPAIN
F. Marco Castillo
Affiliation:
Departamento de Matemáticas.Universitat Jaume I, Castellón.SPAIN
J.A. López Ortí
Affiliation:
Departamento de Matemáticas.Universitat Jaume I, Castellón.SPAIN

Abstract

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In order to obtain corrections to orbital elements of minor planets and to determine parameters of rotation of a reference frame, a geometrical model with restrictions in the declination, longitude of the ascending node and argument of the perihelion to minimize a residual function involving all named parameters was presented (Marco et al., 1996, 1997). On the other hand, such rotational model of correction should not modify the semiaxis, eccentricity nor the mean anomaly, so new restrictions on these parameters seem to be necessary. These conditions should reflect the invariability in the size of the orbit and they should be included in the model to complete a consistent set of restrictions.

Type
Extended Abstracts
Information
International Astronomical Union Colloquium , Volume 172: Impact of Modern Dynamics in Astronomy , 1999 , pp. 425 - 426
Copyright
Copyright © Kluwer 1999

References

Marco, F.J., López, J.A., Martínez, M-J.: 1996, A time-dependent extension to Brower’s method of orbital elements correction, Dynamics, Ephemerides and Astrometry of the Solar System, pp.199–202 Google Scholar
Marco, F.J., López, J.A., Martínez, M.J.: 1997, Temporal variation of perturbed elliptic elements: a semi-analytical approach, Celest. Mech., 68,193–198 CrossRefGoogle Scholar