Αποθηκεύτηκε σε:
| Κύριοι συγγραφείς: | , , , |
|---|---|
| Μορφή: | Preprint |
| Έκδοση: |
2015
|
| Θέματα: | |
| Διαθέσιμο Online: | https://arxiv.org/abs/1508.02243 |
| Ετικέτες: |
Προσθήκη ετικέτας
Δεν υπάρχουν, Καταχωρήστε ετικέτα πρώτοι!
|
| _version_ | 1866909249833009152 |
|---|---|
| author | Avendano, Martin Martín-Molina, Verónica Martín-Morales, Jorge Ortigas-Galindo, Jorge |
| author_facet | Avendano, Martin Martín-Molina, Verónica Martín-Morales, Jorge Ortigas-Galindo, Jorge |
| contents | We present a purely algebraic formulation (i.e. polynomial equations only) of the minimum-cost multi-impulse orbit transfer problem without time constraints, while keeping all the variables with a precise physical meaning. We apply general algebraic techniques to solve these equations (resultants, Gröbner bases, etc.) in several situations of practical interest of different degrees of generality. For instance, we provide a proof of the optimality of the Hohmann transfer for the minimum fuel 2-impulse circular to circular orbit transfer problem, and we provide a general formula for the optimal 2-impulse in-plane transfer between two rotated elliptical orbits under a mild symmetry assumption on the two points where the impulses are applied (which we conjecture that can be removed). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1508_02243 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | An algebraic approach to the minimum-cost multi-impulse orbit transfer problem Avendano, Martin Martín-Molina, Verónica Martín-Morales, Jorge Ortigas-Galindo, Jorge Mathematical Physics We present a purely algebraic formulation (i.e. polynomial equations only) of the minimum-cost multi-impulse orbit transfer problem without time constraints, while keeping all the variables with a precise physical meaning. We apply general algebraic techniques to solve these equations (resultants, Gröbner bases, etc.) in several situations of practical interest of different degrees of generality. For instance, we provide a proof of the optimality of the Hohmann transfer for the minimum fuel 2-impulse circular to circular orbit transfer problem, and we provide a general formula for the optimal 2-impulse in-plane transfer between two rotated elliptical orbits under a mild symmetry assumption on the two points where the impulses are applied (which we conjecture that can be removed). |
| title | An algebraic approach to the minimum-cost multi-impulse orbit transfer problem |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/1508.02243 |