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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
The Korean Space Science Society
2011-03-01
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| 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 |
| Summary: | 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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| ISSN: | 2093-5587 2093-1409 |