An open Monte Carlo based implementation of Gauss's method for initial orbit determination
Hundreds or thousands of Near-Earth Asteroids (NEAs) are discovered every year, so being able to determine their orbits to follow them successfully in the future is essential to warn of the danger they could present. Numerous methods have been developed to improve the precision and efficiency of ca...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universidad de Panamá
2025-01-01
|
| Series: | Tecnociencia |
| Subjects: | |
| Online Access: | https://www.revistas.up.ac.pa/index.php/tecnociencia/article/view/6633 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841560807974895616 |
|---|---|
| author | José B. Batista-Mendoza Eduardo Chung Adam’s Martínez-Soto Joaquín Fábrega-Polleri Carlos A. Fernández-Valdés |
| author_facet | José B. Batista-Mendoza Eduardo Chung Adam’s Martínez-Soto Joaquín Fábrega-Polleri Carlos A. Fernández-Valdés |
| author_sort | José B. Batista-Mendoza |
| collection | DOAJ |
| description |
Hundreds or thousands of Near-Earth Asteroids (NEAs) are discovered every year, so being able to determine their orbits to follow them successfully in the future is essential to warn of the danger they could present. Numerous methods have been developed to improve the precision and efficiency of calculations used in the Initial Orbit Determination (IOD), with Gauss’s method being the benchmark due to its intuitive formulation, comparable precision, and historical importance. Herein, we present the results of the development of a new
open access tool to simplify the process of IOD of celestial bodies, specifically, NEAs. This tool was based on a modern implementation, using code written in Python to calculate, propagate, and graph the orbits. The results obtained from the test data exhibited significant accuracy, with the maximum discrepancy not exceeding 1.2% compared to the Horizons System tool, and the average being 0.5%. Furthermore, we found that for the Monte Carlo simulations that the code uses, 5,000 iterations were more than enough to achieve the obtained accuracy.
|
| format | Article |
| id | doaj-art-cba2f52948ce478dbf1757dd5298da54 |
| institution | Kabale University |
| issn | 1609-8102 2415-0940 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Universidad de Panamá |
| record_format | Article |
| series | Tecnociencia |
| spelling | doaj-art-cba2f52948ce478dbf1757dd5298da542025-01-03T15:35:45ZengUniversidad de PanamáTecnociencia1609-81022415-09402025-01-0127110.48204/j.tecno.v27n1.a6633An open Monte Carlo based implementation of Gauss's method for initial orbit determinationJosé B. Batista-Mendoza 0Eduardo Chung 1Adam’s Martínez-Soto 2Joaquín Fábrega-Polleri 3Carlos A. Fernández-Valdés 4Universidad de Panamá, Facultad de Ciencias Naturales, Exactas y Tecnología, Escuela de Física, Panamá. Universidad de Panamá, Facultad de Ciencias Naturales, Exactas y Tecnología, Departamento de Física, Panamá. Universidad de Panamá, Facultad de Ciencias Naturales, Exactas y Tecnología, Departamento de Física, Panamá. Universidad Católica Santa María la Antigua, Facultad de Ingeniería y Tecnología, Escuela de Ingeniería Civil, Panamá. Universidad Latina de Panamá, Facultad de Ingeniería, Escuela de Electrónica, Sistemas y Mecatrónica, Panamá. Hundreds or thousands of Near-Earth Asteroids (NEAs) are discovered every year, so being able to determine their orbits to follow them successfully in the future is essential to warn of the danger they could present. Numerous methods have been developed to improve the precision and efficiency of calculations used in the Initial Orbit Determination (IOD), with Gauss’s method being the benchmark due to its intuitive formulation, comparable precision, and historical importance. Herein, we present the results of the development of a new open access tool to simplify the process of IOD of celestial bodies, specifically, NEAs. This tool was based on a modern implementation, using code written in Python to calculate, propagate, and graph the orbits. The results obtained from the test data exhibited significant accuracy, with the maximum discrepancy not exceeding 1.2% compared to the Horizons System tool, and the average being 0.5%. Furthermore, we found that for the Monte Carlo simulations that the code uses, 5,000 iterations were more than enough to achieve the obtained accuracy. https://www.revistas.up.ac.pa/index.php/tecnociencia/article/view/6633AsteroidsAstronomyCelestial MechanicsGauss’ MethodOrbit Determination |
| spellingShingle | José B. Batista-Mendoza Eduardo Chung Adam’s Martínez-Soto Joaquín Fábrega-Polleri Carlos A. Fernández-Valdés An open Monte Carlo based implementation of Gauss's method for initial orbit determination Tecnociencia Asteroids Astronomy Celestial Mechanics Gauss’ Method Orbit Determination |
| title | An open Monte Carlo based implementation of Gauss's method for initial orbit determination |
| title_full | An open Monte Carlo based implementation of Gauss's method for initial orbit determination |
| title_fullStr | An open Monte Carlo based implementation of Gauss's method for initial orbit determination |
| title_full_unstemmed | An open Monte Carlo based implementation of Gauss's method for initial orbit determination |
| title_short | An open Monte Carlo based implementation of Gauss's method for initial orbit determination |
| title_sort | open monte carlo based implementation of gauss s method for initial orbit determination |
| topic | Asteroids Astronomy Celestial Mechanics Gauss’ Method Orbit Determination |
| url | https://www.revistas.up.ac.pa/index.php/tecnociencia/article/view/6633 |
| work_keys_str_mv | AT josebbatistamendoza anopenmontecarlobasedimplementationofgausssmethodforinitialorbitdetermination AT eduardochung anopenmontecarlobasedimplementationofgausssmethodforinitialorbitdetermination AT adamsmartinezsoto anopenmontecarlobasedimplementationofgausssmethodforinitialorbitdetermination AT joaquinfabregapolleri anopenmontecarlobasedimplementationofgausssmethodforinitialorbitdetermination AT carlosafernandezvaldes anopenmontecarlobasedimplementationofgausssmethodforinitialorbitdetermination AT josebbatistamendoza openmontecarlobasedimplementationofgausssmethodforinitialorbitdetermination AT eduardochung openmontecarlobasedimplementationofgausssmethodforinitialorbitdetermination AT adamsmartinezsoto openmontecarlobasedimplementationofgausssmethodforinitialorbitdetermination AT joaquinfabregapolleri openmontecarlobasedimplementationofgausssmethodforinitialorbitdetermination AT carlosafernandezvaldes openmontecarlobasedimplementationofgausssmethodforinitialorbitdetermination |