1. Identity statement | |
Reference Type | Journal Article |
Site | mtc-m21d.sid.inpe.br |
Holder Code | isadg {BR SPINPE} ibi 8JMKD3MGPCW/3DT298S |
Identifier | 8JMKD3MGP3W34T/45QETG2 |
Repository | sid.inpe.br/mtc-m21d/2021/11.16.13.30 |
Last Update | 2021:11.16.13.30.50 (UTC) simone |
Metadata Repository | sid.inpe.br/mtc-m21d/2021/11.16.13.30.50 |
Metadata Last Update | 2022:04.03.23.14.05 (UTC) administrator |
DOI | 10.1007/s40430-021-03229-5 |
ISSN | 1678-5878 |
Citation Key | FernandesCarv:2021:EfMaZo |
Title | Effects of the main zonal harmonics on optimal low-thrust limited-power transfers |
Year | 2021 |
Month | Dec. |
Access Date | 2024, May 09 |
Type of Work | journal article |
Secondary Type | PRE PN |
Number of Files | 1 |
Size | 2962 KiB |
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2. Context | |
Author | 1 Fernandes, Sandro da Silva 2 Carvalho, Francisco das Chagas |
ORCID | 1 0000-0003-4198-6374 2 0000-0003-0113-9445 |
Group | 1 2 CORCR-CGIP-INPE-MCTI-GOV-BR |
Affiliation | 1 Instituto Tecnológico de Aeronáutica (ITA) 2 Instituto Nacional de Pesquisas Espaciais (INPE) |
Author e-Mail Address | 1 sandro@ita.br 2 fchagas.carvalho@gmail.com |
Journal | Journal of the Brazilian Society of Mechanical Sciences and Engineering |
Volume | 43 |
Number | 12 |
Pages | e523 |
Secondary Mark | B1_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 |
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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 | Low-thrust trajectories Zonal harmonics of gravitational field Transfers between arbitrary orbits |
Abstract | This 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. |
Area | ETES |
Arrangement | urlib.net > BDMCI > Fonds > Produção a partir de 2021 > CGIP > Effects of the... |
doc Directory Content | access |
source Directory Content | there are no files |
agreement Directory Content | |
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4. Conditions of access and use | |
data URL | http://urlib.net/ibi/8JMKD3MGP3W34T/45QETG2 |
zipped data URL | http://urlib.net/zip/8JMKD3MGP3W34T/45QETG2 |
Language | en |
Target File | fernandes_effects.pdf |
User Group | simone |
Reader Group | administrator simone |
Visibility | shown |
Archiving Policy | allowpublisher allowfinaldraft |
Update Permission | not transferred |
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5. Allied materials | |
Next Higher Units | 8JMKD3MGPCW/46KUES5 |
Citing Item List | sid.inpe.br/bibdigital/2022/04.03.23.11 1 |
Dissemination | WEBSCI; PORTALCAPES. |
Host Collection | urlib.net/www/2021/06.04.03.40 |
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6. Notes | |
Empty Fields | alternatejournal archivist callnumber copyholder copyright creatorhistory descriptionlevel e-mailaddress format isbn label lineage mark mirrorrepository nextedition notes parameterlist parentrepositories previousedition previouslowerunit progress project readpermission resumeid rightsholder schedulinginformation secondarydate secondarykey session shorttitle sponsor subject tertiarymark tertiarytype url |
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7. Description control | |
e-Mail (login) | simone |
update | |
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