Optimal low-thrust transfers between coplanar orbits with small eccentricities
| Autor: | Rodolpho Vilhena de Moraes, Francisco das Chagas Carvalho, Sandro da Silva Fernandes |
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| Rok vydání: | 2015 |
| Předmět: |
Orbital elements
020301 aerospace & aeronautics 0209 industrial biotechnology Applied Mathematics Infinitesimal Conjugate points Rendezvous Separation of variables Thrust Canonical transformation 02 engineering and technology Computational Mathematics symbols.namesake 020901 industrial engineering & automation Classical mechanics 0203 mechanical engineering symbols Hamiltonian (quantum mechanics) Mathematics |
| Zdroj: | Computational and Applied Mathematics. 35:803-816 |
| ISSN: | 1807-0302 0101-8205 |
| DOI: | 10.1007/s40314-015-0249-9 |
| Popis: | In this paper, a first-order analytical solution, which includes the short periodic terms, for the problem of optimal time-fixed low-thrust limited-power transfers (no rendezvous), in an inverse-square force field, between coplanar orbits with small eccentricities is obtained through canonical transformation theory. Short periodic terms are eliminated from the maximum Hamiltonian, expressed in non-singular orbital elements, through an infinitesimal canonical transformation built through the Hori method. Closed-form analytical solutions are obtained for the average canonical system by solving the Hamilton–Jacobi equation through the separation of variables technique. For long duration maneuvers, the existence of conjugate points is investigated through the Jacobi condition. |
| Databáze: | OpenAIRE |
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