Evaluating High-Degree-and-Order Gravitational Harmonics and its Application to the State Predictions of a Lunar Orbiting Satellite
In this work, an efficient method with which to evaluate the high-degree-and-order gravitational harmonics of the nonsphericity of a central body is described and applied to state predictions of a lunar orbiter. Unlike the work of Song et al. (2010), which used a conventional computation method to...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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The Korean Space Science Society
2015-09-01
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| Series: | Journal of Astronomy and Space Sciences |
| Subjects: | |
| Online Access: | http://ocean.kisti.re.kr/downfile/volume/kosss/OJOOBS/2015/v32n3/OJOOBS_2015_v32n3_247.pdf |
| _version_ | 1797331330131820544 |
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| author | Young-Joo Song Bang-Yeop Kim |
| author_facet | Young-Joo Song Bang-Yeop Kim |
| author_sort | Young-Joo Song |
| collection | DOAJ |
| description | In this work, an efficient method with which to evaluate the high-degree-and-order gravitational harmonics of the nonsphericity
of a central body is described and applied to state predictions of a lunar orbiter. Unlike the work of Song et al.
(2010), which used a conventional computation method to process gravitational harmonic coefficients, the current work
adapted a well-known recursion formula that directly uses fully normalized associated Legendre functions to compute the
acceleration due to the non-sphericity of the moon. With the formulated algorithms, the states of a lunar orbiting satellite
are predicted and its performance is validated in comparisons with solutions obtained from STK/Astrogator. The predicted
differences in the orbital states between STK/Astrogator and the current work all remain at a position of less than 1 m
with velocity accuracy levels of less than 1 mm/s, even with different orbital inclinations. The effectiveness of the current
algorithm, in terms of both the computation time and the degree of accuracy degradation, is also shown in comparisons
with results obtained from earlier work. It is expected that the proposed algorithm can be used as a foundation for the
development of an operational flight dynamics subsystem for future lunar exploration missions by Korea. It can also be
used to analyze missions which require very close operations to the moon. |
| first_indexed | 2024-03-08T07:32:55Z |
| format | Article |
| id | doaj.art-2877eb5564ef4889ac2e3524afba96c2 |
| institution | Directory Open Access Journal |
| issn | 2093-5587 2093-1409 |
| language | English |
| last_indexed | 2024-03-08T07:32:55Z |
| publishDate | 2015-09-01 |
| publisher | The Korean Space Science Society |
| record_format | Article |
| series | Journal of Astronomy and Space Sciences |
| spelling | doaj.art-2877eb5564ef4889ac2e3524afba96c22024-02-02T19:41:47ZengThe Korean Space Science SocietyJournal of Astronomy and Space Sciences2093-55872093-14092015-09-0132324725610.5140/JASS.2015.32.3.247Evaluating High-Degree-and-Order Gravitational Harmonics and its Application to the State Predictions of a Lunar Orbiting SatelliteYoung-Joo Song0Bang-Yeop Kim1Korea Aerospace Research Institute, Daejeon 34133, KoreaKorea Aerospace Research Institute, Daejeon 34133, KoreaIn this work, an efficient method with which to evaluate the high-degree-and-order gravitational harmonics of the nonsphericity of a central body is described and applied to state predictions of a lunar orbiter. Unlike the work of Song et al. (2010), which used a conventional computation method to process gravitational harmonic coefficients, the current work adapted a well-known recursion formula that directly uses fully normalized associated Legendre functions to compute the acceleration due to the non-sphericity of the moon. With the formulated algorithms, the states of a lunar orbiting satellite are predicted and its performance is validated in comparisons with solutions obtained from STK/Astrogator. The predicted differences in the orbital states between STK/Astrogator and the current work all remain at a position of less than 1 m with velocity accuracy levels of less than 1 mm/s, even with different orbital inclinations. The effectiveness of the current algorithm, in terms of both the computation time and the degree of accuracy degradation, is also shown in comparisons with results obtained from earlier work. It is expected that the proposed algorithm can be used as a foundation for the development of an operational flight dynamics subsystem for future lunar exploration missions by Korea. It can also be used to analyze missions which require very close operations to the moon.http://ocean.kisti.re.kr/downfile/volume/kosss/OJOOBS/2015/v32n3/OJOOBS_2015_v32n3_247.pdfhigh-degree-and-order spherical harmonicsfully normalized associated legendre functionlunar orbiter state predictionKorea's lunar exploration |
| spellingShingle | Young-Joo Song Bang-Yeop Kim Evaluating High-Degree-and-Order Gravitational Harmonics and its Application to the State Predictions of a Lunar Orbiting Satellite Journal of Astronomy and Space Sciences high-degree-and-order spherical harmonics fully normalized associated legendre function lunar orbiter state prediction Korea's lunar exploration |
| title | Evaluating High-Degree-and-Order Gravitational Harmonics and its Application to the State Predictions of a Lunar Orbiting Satellite |
| title_full | Evaluating High-Degree-and-Order Gravitational Harmonics and its Application to the State Predictions of a Lunar Orbiting Satellite |
| title_fullStr | Evaluating High-Degree-and-Order Gravitational Harmonics and its Application to the State Predictions of a Lunar Orbiting Satellite |
| title_full_unstemmed | Evaluating High-Degree-and-Order Gravitational Harmonics and its Application to the State Predictions of a Lunar Orbiting Satellite |
| title_short | Evaluating High-Degree-and-Order Gravitational Harmonics and its Application to the State Predictions of a Lunar Orbiting Satellite |
| title_sort | evaluating high degree and order gravitational harmonics and its application to the state predictions of a lunar orbiting satellite |
| topic | high-degree-and-order spherical harmonics fully normalized associated legendre function lunar orbiter state prediction Korea's lunar exploration |
| url | http://ocean.kisti.re.kr/downfile/volume/kosss/OJOOBS/2015/v32n3/OJOOBS_2015_v32n3_247.pdf |
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