A NUMERICAL-ANALYTICAL APPROACH BASED ON CANONICAL TRANSFORMATIONS FOR COMPUTING OPTIMAL LOW-THRUST TRANSFERS
| Autor: | Fernandes, Sandro da Silva, Carvalho, Francisco das Chagas, Romão, João Victor Bateli [UNIFESP] |
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| Jazyk: | angličtina |
| Rok vydání: | 2018 |
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| Zdroj: | Repositório Institucional da UNIFESP Universidade Federal de São Paulo (UNIFESP) instacron:UNIFESP |
| Popis: | CNPq FAPESP A numerical-analytical procedure based on infinitesimal canonical transformations is developed for computing optimal time-fixed low-thrust limited power transfers (no rendezvous) between coplanar orbits with small eccentricities in an inverse-square force field. The optimization problem is formulated as a Mayer problem with a set of non-singular orbital elements as state variables. Second order terms in eccentricity are considered in the development of the maximum Hamiltonian describing the optimal trajectories. The two-point boundary value problem of going from an initial orbit to a final orbit is solved by means of a two-stage Newton-Raphson algorithm which uses an infinitesimal canonical transformation. Numerical results are presented for some transfers between circular orbits with moderate radius ratio, including a preliminary analysis of Earth-Mars and Earth-Venus missions. Inst Tecnol Aeronaut, Dept Matemat, Sao Jose Dos Campos, Brazil Univ Fed Sao Paulo, Inst Ciencia & Tecnol, Sao Paulo, Brazil Univ Fed Sao Paulo, Inst Ciencia & Tecnol, Sao Paulo, Brazil CNPq: 304913/2013-8 FAPESP: 2012/21023-6 Web of Science |
| Databáze: | OpenAIRE |
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