Abstract
The data set collected during the night of the discovery of a minor body
constitutes a too-short arc (TSA), resulting in failure of the differential correction
procedure. This makes it necessary to recover the object during subsequent nights to
gather more observations that will allow a preliminary orbit to be calculated. In this
work, we present a recovery technique based on sampling the admissible region (AdRe) by
the constrained Delaunay triangulation. We construct the AdRe in its topocentric and
geocentric variants, using logarithmic and exponential metrics, for the following
near-Earth-asteroids: (3122) Florence, (3200) Phaethon, 2003 GW, (1864) Daedalus, 2003
BH84 and 1977 QQ5; and the main-belt asteroids: (1738) Oosterhoff, (4690) Strasbourg,
(555) Norma, 2006 SO375, 2003 GE55 and (32811) Apisaon. Using our sampling technique, we
established the ephemeris region for these objects, using intervals of observation from
25 minutes up to 2 hours, with propagation times from 1 up to 47 days. All these objects
were recoverable in a field of vision of 95’ × 72’, except for (3122) Florence and
(3200) Phaethon, since they were observed during their closest approach to the Earth. In
the case of 2006 SO375, we performed an additional test with only two observations
separated by 2 minutes, achieving a recovery of up to 28 days after its discovery, which
demonstrates the potential of our technique.
Publisher
The Korean Space Science Society
Subject
General Earth and Planetary Sciences,General Physics and Astronomy
Reference22 articles.
1. Bern N, Eppstein D, Mesh generation and optimal triangulation,
in Computing in Euclidean Geometry, eds. Du D, Hwang F (World Scientific, Singapore,
1995), 47-123. 10.1142/9789812831699_0003
2. Boulet DL, Methods of Orbit Determination for the Microcomputer
(Willmann-Bell, Richmond, NA, 1991).
3. Danby DMA, Fundamentals of Celestial Mechanics (Macmillan,
London, 1962).
4. Delaunay B, Sur la sphere vide, Izv. Akad. Nauk SSSR, Otdelenie
Matematicheskii i Estestvennyka Nauk 7, 6, 793-800 (1934).
5. DeMars KJ, Jah MK, Schumacher PW, Initial orbit determination
using short-arc angle and angle rate data, IEEE Trans. Aerosp. Electron. Syst. 48,
2628-2637 (2012). 10.1109/TAES.2012.6237613