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Admissible regions for too short arcs: nodal distances and elongations

Published online by Cambridge University Press:  01 August 2006

Stéphane Valk  and
Anne Lemaitre
Stéphane Valk
Affiliation:
Department of Mathematics, University of Namur, Belgium email: stephane.valk@fundp.ac.be, anne.lemaitre@fundp.ac.be
Anne Lemaitre
Affiliation:
Department of Mathematics, University of Namur, Belgium email: stephane.valk@fundp.ac.be, anne.lemaitre@fundp.ac.be
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Abstract

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This study is based on the definition of the admissible region introduced by Milani et al.(2004); in the search for potential Earth impactors, this theory allows to take into account the partial data of the TSA (Too Short Arcs) from which it is impossible to deduce a full orbit. Only a set of 4 variables (two angles and their instantaneous time derivatives), called an attributable, is known; a few suitable boundary conditions allow to restrict the motions to a specific bounded 2-dimensional region. In this work, a new inner boundary of this region is introduced, based on the geocentric hyperbolic motion of the immediate impactors; the nodal distances (crossings of the virtual asteroidal orbits with the Earth's orbit) are drawn for two different test attributables, associated with a determination of circular and linear orbits. This could reduce the search for impactors (by propagation of the orbits) to a one-dimensional set. A few comments about elongations and complementary curves complete this paper.

Keywords

orbit determinationspace debrisimpact riskMOID
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. 455 - 464
Copyright
Copyright © International Astronomical Union 2007

References

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