Supplementary material of paper: «Recovery of asteroids from observations of too-short arcs by triangulating their admissible regions»
1. NEO Asteroids:
Admissible regions of NEA asteroids with geocentric approach and using the logarithmic metric for the average times of observation. The red dot corresponds to the actual position of the asteroid obtained from the JPL-NASA HORIZONS Web-Interface service (https://ssd.jpl.nasa.gov/horizons.cgi):
Admissible region of NEA asteroids with topocentric correction using the exponential metric:
Admissible region of NEA asteroids with topocentric correction using logarithmic metric:
Triangulated admissible region for NEA asteroids using exponential metrics. The red dot indicates the actual position of the asteroid:
Triangulated admissible region for NEA asteroids using logarithmic metric. The red dot indicates the actual position of the asteroid:
Components of heliocentric position and velocity vectors for the observation time of NEA-type asteroids: 3122 Florence (a) – (c), 3200 Phaethon (d) – (f) and 2003 GW (g) – (i). Sampling obtained with the exponential metric:
Components of heliocentric position and velocity vectors for the observation time of NEA-type asteroids: 3122 Florence (a) – (c), 3200 Phaethon (d) – (f) and 2003 GW (g) – (i). Sampling obtained with the logarithmic metric:
Components of heliocentric position and velocity vectors for recovery time of NEA-type asteroids: 3122 Florence (a) – (c), 3200 Phaethon (d) – (f) and 2003 GW (g) – (i). Sampling obtained with the exponential metric:
Components of heliocentric position and velocity vectors for recovery time of NEA-type asteroids: 3122 Florence (a) – (c), 3200 Phaethon (d) – (f) and 2003 GW (g) – (i). Sampling obtained with the logarithmic metric:
Components of heliocentric position and velocity vectors for the observation time of NEA-type asteroids: 1864 Daedalus (a)-(c), 2003 BH84 (d)-(f) y 1977 QQ5 (g)-(i). Sampling obtained with the exponential metric:
Components of heliocentric position and velocity vectors for the observation time of NEA-type asteroids: 1864 Daedalus (a)-(c), 2003 BH84 (d)-(f) y 1977 QQ5 (g)-(i). Sampling obtained with the logarithmic metric:
Components of heliocentric position and velocity vectors for recovery time of NEA-type asteroids: 1864 Daedalus (a)-(c), 2003 BH84 (d)-(f) y 1977 QQ5 (g)-(i). Sampling obtained with the exponential metric:
Components of heliocentric position and velocity vectors for recovery time of NEA-type asteroids: 1864 Daedalus (a)-(c), 2003 BH84 (d)-(f) y 1977 QQ5 (g)-(i). Sampling obtained with the logarithmic metric:
Region of ephemeris for a final time tf, for asteroids NEA: 3122 Florence, 3200 Phaethon, 2003 GW, 1864 Daedalus, 2003 BH84 and 1977 QQ5. Recovery obtained with the exponential metric. The box with blue dotted lines corresponds to the field of vision given by the instrumental assembly of the OAUTP (W63):
Region of ephemeris for a final time tf, for asteroids NEA: 3122 Florence, 3200 Phaethon, 2003 GW, 1864 Daedalus, 2003 BH84 and 1977 QQ5. Recovery obtained with the logarithmic metric. The box with blue dotted lines corresponds to the field of vision given by the instrumental assembly of the OAUTP (W63):
2. MBA Asteroids:
Admissible regions of MBA asteroids with geocentric approach and using the logarithmic metric for the average times of observation. The red dot corresponds to the actual position of the asteroid obtained from the JPL-NASA HORIZONS Web-Interface service (https://ssd.jpl.nasa.gov/horizons.cgi):
Admissible region of MBA asteroids with topocentric correction using the exponential metric:
Admissible region of MBA asteroids with topocentric correction using logarithmic metric:
Triangulated admissible region for MBA asteroids using exponential metrics. The red dot indicates the actual position of the asteroid:
Triangulated admissible region for MBA asteroids using logarithmic metric. The red dot indicates the actual position of the asteroid:
Components of heliocentric position and velocity vectors for the observation time of MBA-type asteroids: 1738 Oosterhoff (a)-(c), 4690 Strasbourg (d)-(f) y 555 Norma (g)-(i). Sampling obtained with the exponential metric:
Components of heliocentric position and velocity vectors for the observation time of MBA-type asteroids: 1738 Oosterhoff (a)-(c), 4690 Strasbourg (d)-(f) y 555 Norma (g)-(i). Sampling obtained with the logarithmic metric:
Components of heliocentric position and velocity vectors for recovery time of MBA-type asteroids: 1738 Oosterhoff (a)-(c), 4690 Strasbourg (d)-(f) y 555 Norma (g)-(i). Sampling obtained with the exponential metric:
Components of heliocentric position and velocity vectors for recovery time of MBA-type asteroids: 1738 Oosterhoff (a)-(c), 4690 Strasbourg (d)-(f) y 555 Norma (g)-(i). Sampling obtained with the logarithmic metric:
Components of heliocentric position and velocity vectors for the observation time of MBA-type asteroids: 2006 SO375 (a)-(c), 2003 GE55 (d)-(f) y troyano 32811 Apisaon (g)-(i). Sampling obtained with the exponential metric:
Components of heliocentric position and velocity vectors for the observation time of MBA-type asteroids: 2006 SO375 (a)-(c), 2003 GE55 (d)-(f) y troyano 32811 Apisaon (g)-(i). Sampling obtained with the logarithmic metric:
Components of heliocentric position and velocity vectors for recovery time of MBA-type asteroids: 2006 SO375 (a)-(c), 2003 GE55 (d)-(f) y troyano 32811 Apisaon (g)-(i). Sampling obtained with the exponential metric:
Components of heliocentric position and velocity vectors for recovery time of MBA-type asteroids: 2006 SO375 (a)-(c), 2003 GE55 (d)-(f) y troyano 32811 Apisaon (g)-(i). Sampling obtained with the logarithmic metric:
Region of ephemeris for a final time tf, for asteroids MBA: 1738 Oosterhoff, 4690 Strasbourg y 555 Norma, 2006 SO375, 2003 GE55 y 32811 Apisaon. Recovery obtained with the exponential metric. The box with blue dotted lines corresponds to the field of vision given by the instrumental assembly of the OAUTP (W63):
Region of ephemeris for a final time tf, for asteroids MBA: 1738 Oosterhoff, 4690 Strasbourg y 555 Norma, 2006 SO375, 2003 GE55 y 32811 Apisaon. Recovery obtained with the logarithmic metric. The box with blue dotted lines corresponds to the field of vision given by the instrumental assembly of the OAUTP (W63):
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Daniela Espitia
Observatorio Astronómico (W63), Universidad Tecnológica de Pereira, Complejo Educativo La Julita, Risaralda, Colombia.
ORCID: https://orcid.org/0000-0002-7730-3494
E-mail: daesmo95@utp.edu.co
Edwin A. Quintero
Observatorio Astronómico (W63), Universidad Tecnológica de Pereira, Complejo Educativo La Julita, Risaralda, Colombia.
ORCID: https://orcid.org/0000-0002-0974-4650
E-mail: equintero@utp.edu.co