Determination of Orbital Elements and Ephemerides using the Geocentric Laplace’s Method
This paper presents a methodology for Initial Orbit Determination (IOD) based on a modification of the Laplace’s geocentric method. The orbital elements for Near-Earth asteroids (1864) Daedalus, 2003 GW, 2019 JA8, a Hungaria-type asteroid (4690) Strasbourg, and the asteroids of the Main Belt (1738...
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| Format: | Article |
| Language: | English |
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The Korean Space Science Society
2020-09-01
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| Series: | Journal of Astronomy and Space Sciences |
| Subjects: | |
| Online Access: | http://koreascience.or.kr/article/JAKO202027265523619.page |
| _version_ | 1797329768289402880 |
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| author | Daniela Espitia Edwin A. Quintero Ivan D. Arellano-Ramírez |
| author_facet | Daniela Espitia Edwin A. Quintero Ivan D. Arellano-Ramírez |
| author_sort | Daniela Espitia |
| collection | DOAJ |
| description | This paper presents a methodology for Initial Orbit Determination (IOD) based on a modification of the Laplace’s geocentric
method. The orbital elements for Near-Earth asteroids (1864) Daedalus, 2003 GW, 2019 JA8, a Hungaria-type asteroid (4690)
Strasbourg, and the asteroids of the Main Belt (1738) Oosterhoff, (2717) Tellervo, (1568) Aisleen and (2235) Vittore were
calculated. Input data observations from the Minor Planet Center MPC database and Astronomical Observatory of the
Technological University of Pereira (OAUTP; MPC code W63) were used. These observations cover observation arcs of less
than 22 days. The orbital errors, in terms of shape and orientation for the estimated orbits of the asteroids, were calculated.
The shape error was less than 53 × 10–3 AU, except for the asteroid 2019 JA8. On the other hand, errors in orientation were less
than 0.1 rad, except for (4690) Strasbourg. Additionally, we estimated ephemerides for all bodies for up to two months. When
compared with actual ephemerides, the errors found allowed us to conclude that these bodies can be recovered in a field
of vision of 95’ × 72’ (OAUTP field). This shows that Laplace’s method, though simple, may still be useful in the IOD study,
especially for observatories that initiate programs of minor bodies observation. |
| first_indexed | 2024-03-08T07:10:15Z |
| format | Article |
| id | doaj.art-05b988f49cf9486ca687c08b44a073ba |
| institution | Directory Open Access Journal |
| issn | 2093-5587 2093-1409 |
| language | English |
| last_indexed | 2024-03-08T07:10:15Z |
| publishDate | 2020-09-01 |
| publisher | The Korean Space Science Society |
| record_format | Article |
| series | Journal of Astronomy and Space Sciences |
| spelling | doaj.art-05b988f49cf9486ca687c08b44a073ba2024-02-03T02:54:11ZengThe Korean Space Science SocietyJournal of Astronomy and Space Sciences2093-55872093-14092020-09-0137317118510.5140/JASS.2020.37.3.171Determination of Orbital Elements and Ephemerides using the Geocentric Laplace’s MethodDaniela Espitia0https://orcid.org/0000-0002-7730-3494Edwin A. Quintero1https://orcid.org/0000-0002-0974-4650Ivan D. Arellano-Ramírez2https://orcid.org/0000-0002-6337-7644Universidad Tecnológica de Pereira, Complejo Educativo La Julita, 660003 Pereira, ColombiaUniversidad Tecnológica de Pereira, Complejo Educativo La Julita, 660003 Pereira, ColombiaUniversidad Tecnológica de Pereira, Complejo Educativo La Julita, 660003 Pereira, ColombiaThis paper presents a methodology for Initial Orbit Determination (IOD) based on a modification of the Laplace’s geocentric method. The orbital elements for Near-Earth asteroids (1864) Daedalus, 2003 GW, 2019 JA8, a Hungaria-type asteroid (4690) Strasbourg, and the asteroids of the Main Belt (1738) Oosterhoff, (2717) Tellervo, (1568) Aisleen and (2235) Vittore were calculated. Input data observations from the Minor Planet Center MPC database and Astronomical Observatory of the Technological University of Pereira (OAUTP; MPC code W63) were used. These observations cover observation arcs of less than 22 days. The orbital errors, in terms of shape and orientation for the estimated orbits of the asteroids, were calculated. The shape error was less than 53 × 10–3 AU, except for the asteroid 2019 JA8. On the other hand, errors in orientation were less than 0.1 rad, except for (4690) Strasbourg. Additionally, we estimated ephemerides for all bodies for up to two months. When compared with actual ephemerides, the errors found allowed us to conclude that these bodies can be recovered in a field of vision of 95’ × 72’ (OAUTP field). This shows that Laplace’s method, though simple, may still be useful in the IOD study, especially for observatories that initiate programs of minor bodies observation.http://koreascience.or.kr/article/JAKO202027265523619.pageasteroidsastrometryephemeridesinitial orbit determinationlaplace method |
| spellingShingle | Daniela Espitia Edwin A. Quintero Ivan D. Arellano-Ramírez Determination of Orbital Elements and Ephemerides using the Geocentric Laplace’s Method Journal of Astronomy and Space Sciences asteroids astrometry ephemerides initial orbit determination laplace method |
| title | Determination of Orbital Elements and Ephemerides using the Geocentric Laplace’s Method |
| title_full | Determination of Orbital Elements and Ephemerides using the Geocentric Laplace’s Method |
| title_fullStr | Determination of Orbital Elements and Ephemerides using the Geocentric Laplace’s Method |
| title_full_unstemmed | Determination of Orbital Elements and Ephemerides using the Geocentric Laplace’s Method |
| title_short | Determination of Orbital Elements and Ephemerides using the Geocentric Laplace’s Method |
| title_sort | determination of orbital elements and ephemerides using the geocentric laplace s method |
| topic | asteroids astrometry ephemerides initial orbit determination laplace method |
| url | http://koreascience.or.kr/article/JAKO202027265523619.page |
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