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On the accuracy of approximation of motion of a small celestial body by intermediate perturbed orbits calculated on the basis of three position vectors and three observations

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On the accuracy of approximation of motion of a small celestial body by intermediate perturbed orbits calculated on the basis of three position vectors and three observations

Content Provider	Springer Nature Link
Author	Shefer, V. A. Shefer, O. V.
Copyright Year	2016
Abstract	Intermediate perturbed orbits, which were proposed earlier by the first author and are calculated based on three position vectors and three measurements of angular coordinates of a small celestial body, are examined. Provided that the reference time interval encompassing the measurements is short, these orbits are close in the accuracy of approximation of actual motion to an orbit with fourth-order tangency. The shorter the reference time interval is, the better is the approximation. The laws of variation of the errors of methods for constructing such intermediate orbits with the length of the reference time interval are formulated. According to these laws, the rate of convergence of the methods to an exact solution in the process of shortening of the reference time interval is, in general, three orders of magnitude higher than that of conventional methods relying on an unperturbed Keplerian orbit. The considered orbits are among the most accurate of their class that is defined by the order of tangency. The obtained theoretical results are verified by numerical experiments on determining the orbit of 99942 Apophis.
Starting Page	204
Ending Page	210
Page Count	7
File Format	PDF
ISSN	00380946
Journal	Solar System Research
Volume Number	50
Issue Number	3
e-ISSN	16083423
Language	English
Publisher	Pleiades Publishing
Publisher Date	2016-05-24
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	intermediate perturbed orbit superosculating orbit initial orbit determination Herrick–Gibbs method Astronomy, Astrophysics and Cosmology Planetology Astronomy, Observations and Techniques Astrophysics and Astroparticles
Content Type	Text
Resource Type	Article
Subject	Astronomy and Astrophysics Space and Planetary Science

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