| 1. Identity statement | |
| Reference Type | Conference Paper (Conference Proceedings) |
| Site | plutao.sid.inpe.br |
| Holder Code | isadg {BR SPINPE} ibi 8JMKD3MGPCW/3DT298S |
| Identifier | 8JMKD3MGP3W/3FCL3AN |
| Repository | sid.inpe.br/plutao/2013/12.12.15.12.29 |
| Last Update | 2020:09.28.13.15.27 (UTC) marcelo.pazos@inpe.br |
| Metadata Repository | sid.inpe.br/plutao/2013/12.12.15.12.30 |
| Metadata Last Update | 2021:02.11.18.16.23 (UTC) administrator |
| Label | lattes: 1786255724025154 2 ZanardiKugaSilv:2013:UsClSu |
| Citation Key | ZanardiKugaSilv:2013:UsClSu |
| Title | Using Clenshaw summation for recursive computation of high order and degree geopotential for space applications  |
| Format | DVD |
| Year | 2013 |
| Access Date | 2024, May 18 |
| Secondary Type | PRE CI |
| Number of Files | 1 |
| Size | 149 KiB |
| 2. Context | |
| Author | 1 Zanardi, Maria Cecilia França de Paula Santos 2 Kuga, Helio Koiti 3 Silveira, Natassia Ramos da |
| Resume Identifier | 1 2 8JMKD3MGP5W/3C9JHC9 |
| Group | 1 2 DMC-ETE-INPE-MCTI-GOV-BR |
| Affiliation | 1 Universidade Estadual Paulista (UNESP) 2 Instituto Nacional de Pesquisas Espaciais (INPE) 3 Universidade Estadual Paulista (UNESP) |
| Author e-Mail Address | 1 cecilia.zanardi@pq.cnpq.br 2 helio.kuga@inpe.br 3 nati_silveira@yahoo.com.br |
| e-Mail Address | helio.kuga@inpe.br |
| Conference Name | International Conference on Vibration Problems, 11 (ICOVP). |
| Conference Location | Lisbon |
| Date | 2013 |
| Publisher | ICOVP |
| Pages | 1-10 |
| Book Title | Proceedings |
| Tertiary Type | Paper |
| History (UTC) | 2013-12-12 15:12:30 :: lattes -> administrator :: 2018-06-04 23:39:13 :: administrator -> marcelo.pazos@inpe.br :: 2013 2020-09-28 13:15:28 :: marcelo.pazos@inpe.br -> administrator :: 2013 2021-02-11 18:16:23 :: administrator -> marcelo.pazos@inpe.br :: 2013 |
| 3. Content and structure | |
| Is the master or a copy? | is the master |
| Content Stage | completed |
| Transferable | 1 |
| Content Type | External Contribution |
| Version Type | publisher |
| Keywords | artificial satellite geopotential Legendre functions recursive calculation Clenshaw summation |
| Abstract | An artificial satellite subject to the attraction of the Earth is disturbed due to non-spherical distribution and nonsymmetrical Earth mass. This uneven distribution of mass is expressed by the so-called spherical harmonic coefficients of the Earth potential. For a faster computation, the acceleration derived from the potential is obtained by a series expansion in terms of these harmonics, the fully normalized Legendre polynomials and their derivatives, and several recursions associated with the longitude, geocentric latitude and altitude of the center of mass of the satellite. This paper analyzes the detailed aspects of disturbances in artificial satellites, related with the modeling of the Earth's gravitational potential as well as numerical implementation of a recursive algorithm to calculate the acceleration of the geopotential based on the Clenshaw summation. In general, one uses recursive equations of high degree and order to calculate the Legendre polynomials in order to obtain faster processing and numerical accuracy. However, the recursions can yield numerical errors at each step of the recursion so that for higher orders and degrees of harmonics, the accumulated error may be quite pronounced. The computational implementation of the algorithm is carried out in a PC computer. With the implementation of this algorithm it is possible to calculate the geopotential acceleration for different orbits and different situations. Such approach aims at mitigating the numerical problems arising from usage of extended series expansion when computing recursively the Legendre polynomials. Once the favorable numerical properties are proven, the algorithm can be used in the solution of practical problems of orbital space mechanics and for the Brazilian Space Mission. |
| Area | ETES |
| Arrangement | urlib.net > BDMCI > Fonds > Produção anterior à 2021 > DIDMC > Using Clenshaw summation... |
| doc Directory Content | access |
| source Directory Content | there are no files |
| agreement Directory Content | there are no files |
| 4. Conditions of access and use | |
| data URL | http://urlib.net/ibi/8JMKD3MGP3W/3FCL3AN |
| zipped data URL | http://urlib.net/zip/8JMKD3MGP3W/3FCL3AN |
| Language | en |
| Target File | zanardi_using.pdf |
| User Group | lattes marcelo.pazos@inpe.br |
| Visibility | shown |
| Read Permission | allow from all |
| Update Permission | not transferred |
| 5. Allied materials | |
| Mirror Repository | iconet.com.br/banon/2006/11.26.21.31 |
| Next Higher Units | 8JMKD3MGPCW/446AF4B |
| Host Collection | dpi.inpe.br/plutao@80/2008/08.19.15.01 |
| 6. Notes | |
| Notes | Setores de Atividade: Pesquisa e desenvolvimento científico. |
| Empty Fields | archivingpolicy archivist callnumber copyholder copyright creatorhistory descriptionlevel dissemination doi edition editor isbn issn lineage mark nextedition numberofvolumes orcid organization parameterlist parentrepositories previousedition previouslowerunit progress project publisheraddress readergroup rightsholder schedulinginformation secondarydate secondarykey secondarymark serieseditor session shorttitle sponsor subject tertiarymark type url volume |
| 7. Description control | |
| e-Mail (login) | marcelo.pazos@inpe.br |
| update | |