Hostname: page-component-6bf8c574d5-n2sc8 Total loading time: 0 Render date: 2025-03-07T03:53:37.859Z Has data issue: false hasContentIssue false
  • English
  • Français

Initial linking methods and their classification

Published online by Cambridge University Press:  01 August 2006

Leif Kahl Kristensen
Leif Kahl Kristensen*
Affiliation:
Department of Physics and Astronomy, University of Aarhus, DK-8000 Aarhus C, Denmark email: LKK@PHYS.AU.DK
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The problem of initial linking of asteroids is of increasing interest for the next generation surveys. During the first week after discovery elliptical elements are very uncertain and other methods are used. A summary is given of 7 initial linking methods. There are two different types: In one, a search area is computed on a second night from the known and undoubtedly linked positions, typically on the first night. The other type assumes candidates which are then checked by the computation of O – C residuals of an orbit. Computations may be classified as belonging to the 3-dimensional space or the 2-dimensional sky-plane. A new basis, with a simpler computational algorithm, is given for the widely used Väisälä method. For a new N-Observation Orbit method a simple, efficient PC-programme is given.

Keywords

Orbit determinationidentificationephemerides
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 2 , Symposium S236: Near Earth Objects, our Celestial Neighbors: Opportunity and Risk , August 2006 , pp. 301 - 308
Copyright
Copyright © International Astronomical Union 2007

References

Abramowitz, M. & Stegun, I 1970, Handbook of Math. Functions, Nat. Bureau of Standards, Washington.Google Scholar
Branham, R. L. 2005, Laplacian orbit determination and differential corrections, Celest. Mech. Dyn. Astron. 93, 53CrossRefGoogle Scholar
Bykov, O. P., L'vov, V. N., Izmailov, L. S., & Sumzina, N. K. 2002, Accuracy of Positional CCD Observations of Numbered Minor Planets in 1999-2001 in: Proceedings of ACM 2002, ESA-SP-500Google Scholar
Carpino, M., Milani, A. & Chesley, S. 2003, Error Statistics of Asteroid Optical Astrometric Observations. Icarus 166, 248CrossRefGoogle Scholar
Ephemerides of minor Planets for 1988, Institute for Theoretical Astronomy, Leningrad 1987Google Scholar
Kristensen, L. K. 1990, Simple Methods for Orbit Determination and Identification of Asteroids. Astron. Nachr. 311, 133CrossRefGoogle Scholar
Kristensen, L. K. 1992, The identification problem in asteroid surveys. Astron. Astrophys. 262, 606Google Scholar
Kristensen, L. K. 2002, Follow-up ephemerides and the accuracy of preliminary orbits. Icarus 159, 339CrossRefGoogle Scholar
Kristensen, L. K. 2002, Apparent motion near the Earth. in: Proceedings of ACM 2002, ESA-SP-500Google Scholar
Kristensen, L. K. 2004, Initial orbit determination for distant objects. Astron. J. 127, 2424CrossRefGoogle Scholar
Kristensen, L. K. 2005, N-Observations and Radar Orbits (Submitted)Google Scholar
Kubica, J. 2002, Efficient discovery of spatial associations and structure, Robotic Institute, Carnegie Mellon univ., Pittsbúrgh, PennsylvaniaGoogle Scholar
Marsden, B. G. 1992, The recovery of asteroids after two observations. in: Proceedings Asteroids, Comets and Meteors, Houston, Texas, p. 395Google Scholar
Milani, A. & Knezević, Z. 2005, Orbit determination with very short arcs Celest. Mech. Dyn. Astron. 92, 1CrossRefGoogle Scholar
Neutsch, W. 1981, A simple method of orbit determination, Astron. Astrophys. 102, 59Google Scholar
Thiele, T. N. 1889, Almindelig Iagttagelseslre. (Reitzel, Copenhagen) (In Danish, English translation in E. L. Lauritzen: Thiele – Pioneer in Statistics. Oxford Univ. Press, 2002)Google Scholar
Thiele, T. N. 1883, Astron. Nachr. 107, 291, 357Google Scholar
Thiele, T. N. 1903, Theory of Observations, Charles & Edwin Layton, LondonGoogle Scholar
Watson, J. C. 1868, Theoretical Astronomy, J. B. Lippincott and Co., reprinted by Dover Publ. New York 1964Google Scholar