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1. Identificação
Tipo de ReferênciaCapítulo de Livro (Book Section)
Sitemarte3.sid.inpe.br
Código do Detentorisadg {BR SPINPE} ibi 8JMKD3MGPCW/3DT298S
Identificador6qtX3pFwXQZ3r59YCT/H3NpV
Repositóriosid.inpe.br/iris@1905/2005/08.04.04.49   (acesso restrito)
Última Atualização2017:12.06.14.47.57 (UTC) marciana
Repositório de Metadadossid.inpe.br/iris@1905/2005/08.04.04.49.35
Última Atualização dos Metadados2021:02.11.18.29.47 (UTC) administrator
Chave SecundáriaINPE-8045-PRE/3861
Rótulo9027
Chave de CitaçãoSouzaNune:2002:MeThAp
TítuloForecasting space debris distribution: a mesure theory approach
FormatoISBN 85-17-00006-4
Ano2002
Data Secundária20021213
Data de Acesso05 maio 2024
Tipo SecundárioPRE LN
Número de Arquivos1
Tamanho2775 KiB
2. Contextualização
Autor1 Souza, Marcelo Lopes Oliveira e
2 Nunes, Danton
Grupo1 DMC-INPE-MCT-BR
EditorWinter, Othon Cabo
Prado, Antonio Fernando Bertachini de Almeida
Título do LivroInternational Astronautical Congress, 51 (IAF) Advances in space dynamics 3: applications in astronautics
Editora (Publisher)INPE
CidadeSão José dos Campos
Páginas12-27
Título da SérieAdvances in space dynamics 3: applications in astronautics
Histórico (UTC)2008-06-09 21:41:44 :: administrator -> jefferson ::
2012-08-02 17:55:12 :: jefferson -> administrator ::
2017-12-06 14:46:35 :: administrator -> marciana :: 2002
2017-12-06 14:47:57 :: marciana -> administrator :: 2002
2021-02-11 18:29:47 :: administrator -> :: 2002
3. Conteúdo e estrutura
É a matriz ou uma cópia?é a matriz
Estágio do Conteúdoconcluido
Transferível1
Palavras-ChaveENGENHARIA E TECNOLOGIA ESPACIAL
space debris
covariance
ResumoThe goal of this paper is to show how traditional covariance matrix propagation is not always fit for the purpose of forecasting either the distribution of space debris or (which turns out to be equivalent)the probability of finding a body drifting on a gravitational field with incomplete knowledge of its initial conditions. The main limitation of covariance matrix propagation comes front the fact that the debris density function is poorly described by the mo first moments alone, even if the initial density function is spherical. Given enough time, the chaotic nature of the motion under gravity stretches and bends the initial debris distribution into distorted and growing shapes (called by us "bananoids")that the two lowest moments can no longer model it. To illustrate this fact we analyze a very simple model composed of an almost massless body under the action of a central gravitational force to show that, even under such favourable conditions (no atmospheric effects, no non-gravitational forces, no random forces), covariance propagation fails miserably. To overcome the limitations of the traditional approach we turn to the differential equations of the motion and its topological and measure properties. The partial differential equation that describes the time history of the debris distribution is of the same mathematical nature of the Lagrangian or material derivative of the fluid mechanics. If we add random forces the motion becomes a diffusion process. Its distribution is thus governed by the well known Kolmogorov-Fokker-Planck partial differential equation. Covariance matrix propagation is indeed an approximate solution to the KFP equation. We propose that more elaborate approximations be used, cither including higher moments or moving to a new ser of base functions.
ÁreaETES
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Conteúdo da Pasta docacessar
Conteúdo da Pasta sourcenão têm arquivos
Conteúdo da Pasta agreementnão têm arquivos
4. Condições de acesso e uso
Arquivo Alvo8045.pdf
Grupo de Usuáriosadministrator
Visibilidadeshown
Permissão de Leituradeny from all and allow from 150.163
Permissão de Atualizaçãonão transferida
5. Fontes relacionadas
Unidades Imediatamente Superiores8JMKD3MGPCW/446AF4B
Acervo Hospedeirosid.inpe.br/banon/2001/04.03.15.36
6. Notas
Campos Vaziosaffiliation archivingpolicy archivist callnumber contenttype copyholder copyright creatorhistory descriptionlevel dissemination doi e-mailaddress edition electronicmailaddress isbn issn language lineage mark mirrorrepository nextedition notes numberofvolumes orcid parameterlist parentrepositories previousedition previouslowerunit progress project readergroup resumeid rightsholder schedulinginformation secondarymark serieseditor session shorttitle sponsor subject tertiarymark tertiarytype translator url versiontype volume


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