MODELING GRAVITATIONAL TRAJECTORIES AROUND BIG MACROSCOPIC OBJECTS BY MEANS OF NESTED FUNCTIONS IN THE FORM OF PARAMETRIC EQUATIONS

This paper will expound how to obtain a parametric equation that make possible to model orbital trajectories of objects around large macroscopic bodies, in special black holes, without the use of tensor calculus. The mathematical model allows the characterization of trajectories of pairs of black ho...

Full description

Bibliographic Details
Main Author: José D. Ávila
Format: Article
Language:English
Published: Universidad Nacional de Colombia 2016-01-01
Series:Momento
Subjects:
Online Access:https://revistas.unal.edu.co/index.php/momento/article/view/58891
_version_ 1818424991734038528
author José D. Ávila
author_facet José D. Ávila
author_sort José D. Ávila
collection DOAJ
description This paper will expound how to obtain a parametric equation that make possible to model orbital trajectories of objects around large macroscopic bodies, in special black holes, without the use of tensor calculus. The mathematical model allows the characterization of trajectories of pairs of black holes using parameters whose values depend mainly on whole numbers, in a way very similar to how some quantum numbers determine quantum states of the hydrogen atom, enabling a simple taxonomic system for them.
first_indexed 2024-12-14T14:06:50Z
format Article
id doaj.art-c6352f49aeda42bebbc569cd5fd75a14
institution Directory Open Access Journal
issn 0121-4470
2500-8013
language English
last_indexed 2024-12-14T14:06:50Z
publishDate 2016-01-01
publisher Universidad Nacional de Colombia
record_format Article
series Momento
spelling doaj.art-c6352f49aeda42bebbc569cd5fd75a142022-12-21T22:58:30ZengUniversidad Nacional de ColombiaMomento0121-44702500-80132016-01-01052435610.15446/mo.n52.5889143432MODELING GRAVITATIONAL TRAJECTORIES AROUND BIG MACROSCOPIC OBJECTS BY MEANS OF NESTED FUNCTIONS IN THE FORM OF PARAMETRIC EQUATIONSJosé D. Ávila0Ingeniería Química, Universidad Nacional de Colombia, Sede Bogotá.This paper will expound how to obtain a parametric equation that make possible to model orbital trajectories of objects around large macroscopic bodies, in special black holes, without the use of tensor calculus. The mathematical model allows the characterization of trajectories of pairs of black holes using parameters whose values depend mainly on whole numbers, in a way very similar to how some quantum numbers determine quantum states of the hydrogen atom, enabling a simple taxonomic system for them.https://revistas.unal.edu.co/index.php/momento/article/view/58891Ecuaciones paramétricastransformacióngravedadórbitaprecesiónfrecuencia orbitalagujero negro.
spellingShingle José D. Ávila
MODELING GRAVITATIONAL TRAJECTORIES AROUND BIG MACROSCOPIC OBJECTS BY MEANS OF NESTED FUNCTIONS IN THE FORM OF PARAMETRIC EQUATIONS
Momento
Ecuaciones paramétricas
transformación
gravedad
órbita
precesión
frecuencia orbital
agujero negro.
title MODELING GRAVITATIONAL TRAJECTORIES AROUND BIG MACROSCOPIC OBJECTS BY MEANS OF NESTED FUNCTIONS IN THE FORM OF PARAMETRIC EQUATIONS
title_full MODELING GRAVITATIONAL TRAJECTORIES AROUND BIG MACROSCOPIC OBJECTS BY MEANS OF NESTED FUNCTIONS IN THE FORM OF PARAMETRIC EQUATIONS
title_fullStr MODELING GRAVITATIONAL TRAJECTORIES AROUND BIG MACROSCOPIC OBJECTS BY MEANS OF NESTED FUNCTIONS IN THE FORM OF PARAMETRIC EQUATIONS
title_full_unstemmed MODELING GRAVITATIONAL TRAJECTORIES AROUND BIG MACROSCOPIC OBJECTS BY MEANS OF NESTED FUNCTIONS IN THE FORM OF PARAMETRIC EQUATIONS
title_short MODELING GRAVITATIONAL TRAJECTORIES AROUND BIG MACROSCOPIC OBJECTS BY MEANS OF NESTED FUNCTIONS IN THE FORM OF PARAMETRIC EQUATIONS
title_sort modeling gravitational trajectories around big macroscopic objects by means of nested functions in the form of parametric equations
topic Ecuaciones paramétricas
transformación
gravedad
órbita
precesión
frecuencia orbital
agujero negro.
url https://revistas.unal.edu.co/index.php/momento/article/view/58891
work_keys_str_mv AT josedavila modelinggravitationaltrajectoriesaroundbigmacroscopicobjectsbymeansofnestedfunctionsintheformofparametricequations