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1. Identity statement
Reference TypeJournal Article
Sitemtc-m21d.sid.inpe.br
Holder Codeisadg {BR SPINPE} ibi 8JMKD3MGPCW/3DT298S
Identifier8JMKD3MGP3W34T/45QETG2
Repositorysid.inpe.br/mtc-m21d/2021/11.16.13.30
Last Update2021:11.16.13.30.50 (UTC) simone
Metadata Repositorysid.inpe.br/mtc-m21d/2021/11.16.13.30.50
Metadata Last Update2022:04.03.23.14.05 (UTC) administrator
DOI10.1007/s40430-021-03229-5
ISSN1678-5878
Citation KeyFernandesCarv:2021:EfMaZo
TitleEffects of the main zonal harmonics on optimal low-thrust limited-power transfers
Year2021
MonthDec.
Access Date2024, May 09
Type of Workjournal article
Secondary TypePRE PN
Number of Files1
Size2962 KiB
2. Context
Author1 Fernandes, Sandro da Silva
2 Carvalho, Francisco das Chagas
ORCID1 0000-0003-4198-6374
2 0000-0003-0113-9445
Group1
2 CORCR-CGIP-INPE-MCTI-GOV-BR
Affiliation1 Instituto Tecnológico de Aeronáutica (ITA)
2 Instituto Nacional de Pesquisas Espaciais (INPE)
Author e-Mail Address1 sandro@ita.br
2 fchagas.carvalho@gmail.com
JournalJournal of the Brazilian Society of Mechanical Sciences and Engineering
Volume43
Number12
Pagese523
Secondary MarkB1_INTERDISCIPLINAR B1_ENGENHARIAS_III B1_ENGENHARIAS_I B1_CIÊNCIAS_AMBIENTAIS B2_MATERIAIS B2_GEOCIÊNCIAS B2_ENGENHARIAS_IV B2_ENGENHARIAS_II B2_ARQUITETURA_E_URBANISMO B3_SAÚDE_COLETIVA B3_ODONTOLOGIA B3_CIÊNCIA_DE_ALIMENTOS B5_MATEMÁTICA_/_PROBABILIDADE_E_ESTATÍSTICA B5_CIÊNCIAS_BIOLÓGICAS_I C_CIÊNCIA_DA_COMPUTAÇÃO C_ASTRONOMIA_/_FÍSICA
History (UTC)2021-11-16 13:30:50 :: simone -> administrator ::
2021-11-16 13:30:51 :: administrator -> simone :: 2021
2021-11-16 13:31:36 :: simone -> administrator :: 2021
2022-04-03 23:14:05 :: administrator -> simone :: 2021
3. Content and structure
Is the master or a copy?is the master
Content Stagecompleted
Transferable1
Content TypeExternal Contribution
Version Typepublisher
KeywordsLow-thrust trajectories
Zonal harmonics of gravitational field
Transfers between arbitrary orbits
AbstractThis work considers the development of a numerical-analytical procedure for computing optimal time-fixed low-thrust limited-power transfers between arbitrary orbits. It is assumed that Earth's gravitational field is described by the main three zonal harmonics J(2), J(3) and J(4). The optimization problem is formulated as a Mayer problem of optimal control with the state variables defined by the Cartesian elements-components of the position vector and the velocity vector-and a consumption variable that describes the fuel spent during the maneuver. Pontryagin Maximum Principle is applied to determine the optimal thrust acceleration. A set of classical orbital elements is introduced as a new set of state variables by means of an intrinsic canonical transformation defined by the general solution of the canonical system described by the undisturbed part of the maximum Hamiltonian. The proposed procedure involves the development of a two-stage algorithm to solve the two-point boundary value problem that defines the transfer problem. In the first stage of the algorithm, a neighboring extremals method is applied to solve the "mean" two-point boundary value problem of going from an initial orbit to a final orbit at a prescribed final time. This boundary value problem is described by the mean canonical system that governs the secular behavior of the optimal trajectories. The maximum Hamiltonian function that governs the mean canonical system is computed by applying the classic concept of "mean Hamiltonian". In the second stage, the well-known Newton-Raphson method is applied to adjust the initial values of adjoint variables when periodic terms of the first order are included. These periodic terms are recovered by computing the Poisson brackets in the transformation equations, which are defined between the original set of canonical variables and the new set of average canonical variables, as described in Hori method. Numerical results show the main effects on the optimal trajectories due to the zonal harmonics considered in this study.
AreaETES
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4. Conditions of access and use
data URLhttp://urlib.net/ibi/8JMKD3MGP3W34T/45QETG2
zipped data URLhttp://urlib.net/zip/8JMKD3MGP3W34T/45QETG2
Languageen
Target Filefernandes_effects.pdf
User Groupsimone
Reader Groupadministrator
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Visibilityshown
Archiving Policyallowpublisher allowfinaldraft
Update Permissionnot transferred
5. Allied materials
Next Higher Units8JMKD3MGPCW/46KUES5
Citing Item Listsid.inpe.br/bibdigital/2022/04.03.23.11 1
DisseminationWEBSCI; PORTALCAPES.
Host Collectionurlib.net/www/2021/06.04.03.40
6. Notes
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