The Comparison of the Classical Keplerian Orbit Elements, Non-Singular Orbital Elements (Equinoctial Elements), and the Cartesian State Variables in Lagrange Planetary Equations with J2 Perturbation: Part I

Two semi-analytic solutions for a perturbed two-body problem known as Lagrange planetary equations (LPE) were compared to a numerical integration of the equation of motion with same perturbation force. To avoid the critical conditions inherited from the configuration of LPE, non-singular orbital e...

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Main Authors: Jung Hyun Jo, In Kwan Park, Nammi Choe, Mansoo Choi
Format: Article
Language:English
Published: The Korean Space Science Society 2011-03-01
Series:Journal of Astronomy and Space Sciences
Subjects:
Online Access:http://ocean.kisti.re.kr/downfile/volume/kosss/OJOOBS/2011/v28n1/OJOOBS_2011_v28n1_37.pdf
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author Jung Hyun Jo
In Kwan Park
Nammi Choe
Mansoo Choi
author_facet Jung Hyun Jo
In Kwan Park
Nammi Choe
Mansoo Choi
author_sort Jung Hyun Jo
collection DOAJ
description Two semi-analytic solutions for a perturbed two-body problem known as Lagrange planetary equations (LPE) were compared to a numerical integration of the equation of motion with same perturbation force. To avoid the critical conditions inherited from the configuration of LPE, non-singular orbital elements (EOE) had been introduced. In this study, two types of orbital elements, classical Keplerian orbital elements (COE) and EOE were used for the solution of the LPE. The effectiveness of EOE and the discrepancy between EOE and COE were investigated by using several near critical conditions. The near one revolution, one day, and seven days evolutions of each orbital element described in LPE with COE and EOE were analyzed by comparing it with the directly converted orbital elements from the numerically integrated state vector in Cartesian coordinate. As a result, LPE with EOE has an advantage in long term calculation over LPE with COE in case of relatively small eccentricity.
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spelling doaj.art-5f041e19eace4059939dd125023205492024-01-02T03:38:40ZengThe Korean Space Science SocietyJournal of Astronomy and Space Sciences2093-55872093-14092011-03-01281375410.5140/JASS.2011.28.1.037The Comparison of the Classical Keplerian Orbit Elements, Non-Singular Orbital Elements (Equinoctial Elements), and the Cartesian State Variables in Lagrange Planetary Equations with J2 Perturbation: Part IJung Hyun Jo0In Kwan Park1Nammi Choe2Mansoo Choi3Korea Astronomy and Space Science Institute, Daejeon 305-348, KoreaKorea Astronomy and Space Science Institute, Daejeon 305-348, KoreaKorea Aerospace Research Institute, Daejeon 305-333, KoreaKorea Astronomy and Space Science Institute, Daejeon 305-348, KoreaTwo semi-analytic solutions for a perturbed two-body problem known as Lagrange planetary equations (LPE) were compared to a numerical integration of the equation of motion with same perturbation force. To avoid the critical conditions inherited from the configuration of LPE, non-singular orbital elements (EOE) had been introduced. In this study, two types of orbital elements, classical Keplerian orbital elements (COE) and EOE were used for the solution of the LPE. The effectiveness of EOE and the discrepancy between EOE and COE were investigated by using several near critical conditions. The near one revolution, one day, and seven days evolutions of each orbital element described in LPE with COE and EOE were analyzed by comparing it with the directly converted orbital elements from the numerically integrated state vector in Cartesian coordinate. As a result, LPE with EOE has an advantage in long term calculation over LPE with COE in case of relatively small eccentricity.http://ocean.kisti.re.kr/downfile/volume/kosss/OJOOBS/2011/v28n1/OJOOBS_2011_v28n1_37.pdfLagrange planetary equationequinoctial elementsJ2 perturbation
spellingShingle Jung Hyun Jo
In Kwan Park
Nammi Choe
Mansoo Choi
The Comparison of the Classical Keplerian Orbit Elements, Non-Singular Orbital Elements (Equinoctial Elements), and the Cartesian State Variables in Lagrange Planetary Equations with J2 Perturbation: Part I
Journal of Astronomy and Space Sciences
Lagrange planetary equation
equinoctial elements
J2 perturbation
title The Comparison of the Classical Keplerian Orbit Elements, Non-Singular Orbital Elements (Equinoctial Elements), and the Cartesian State Variables in Lagrange Planetary Equations with J2 Perturbation: Part I
title_full The Comparison of the Classical Keplerian Orbit Elements, Non-Singular Orbital Elements (Equinoctial Elements), and the Cartesian State Variables in Lagrange Planetary Equations with J2 Perturbation: Part I
title_fullStr The Comparison of the Classical Keplerian Orbit Elements, Non-Singular Orbital Elements (Equinoctial Elements), and the Cartesian State Variables in Lagrange Planetary Equations with J2 Perturbation: Part I
title_full_unstemmed The Comparison of the Classical Keplerian Orbit Elements, Non-Singular Orbital Elements (Equinoctial Elements), and the Cartesian State Variables in Lagrange Planetary Equations with J2 Perturbation: Part I
title_short The Comparison of the Classical Keplerian Orbit Elements, Non-Singular Orbital Elements (Equinoctial Elements), and the Cartesian State Variables in Lagrange Planetary Equations with J2 Perturbation: Part I
title_sort comparison of the classical keplerian orbit elements non singular orbital elements equinoctial elements and the cartesian state variables in lagrange planetary equations with j2 perturbation part i
topic Lagrange planetary equation
equinoctial elements
J2 perturbation
url http://ocean.kisti.re.kr/downfile/volume/kosss/OJOOBS/2011/v28n1/OJOOBS_2011_v28n1_37.pdf
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