Optimal Low-Thrust Orbit Transfers Made Easy: A Direct Approach
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866916386894249984 |
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| author | Leomanni, Mirko Bianchini, Gianni Garulli, Andrea Quartullo, Renato |
| author_facet | Leomanni, Mirko Bianchini, Gianni Garulli, Andrea Quartullo, Renato |
| contents | The optimization of low-thrust, multi-revolution orbit transfer trajectories is often regarded as a difficult problem in modern astrodynamics. In this paper, a flexible and computationally efficient approach is presented for the optimization of low-thrust orbit transfers under eclipse constraints. The proposed approach leverages a new dynamic model of the orbital motion and a Lyapunov-based initial guess generation scheme that is very easy to tune. A multi-objective, single-phase formulation of the optimal control problem is devised, which provides a convenient way to trade off fuel consumption and time of flight. A distinctive feature of such a formulation is that it requires no prior information about the structure of the optimal solution. Simulation results for two benchmark orbit transfer scenarios indicate that minimum-time, minimum-fuel and mixed time/fuel-optimal instances of the control problem can be readily solved via direct collocation, while incurring a significantly lower computational demand with respect to existing techniques. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_08160 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Optimal Low-Thrust Orbit Transfers Made Easy: A Direct Approach Leomanni, Mirko Bianchini, Gianni Garulli, Andrea Quartullo, Renato Optimization and Control Systems and Control The optimization of low-thrust, multi-revolution orbit transfer trajectories is often regarded as a difficult problem in modern astrodynamics. In this paper, a flexible and computationally efficient approach is presented for the optimization of low-thrust orbit transfers under eclipse constraints. The proposed approach leverages a new dynamic model of the orbital motion and a Lyapunov-based initial guess generation scheme that is very easy to tune. A multi-objective, single-phase formulation of the optimal control problem is devised, which provides a convenient way to trade off fuel consumption and time of flight. A distinctive feature of such a formulation is that it requires no prior information about the structure of the optimal solution. Simulation results for two benchmark orbit transfer scenarios indicate that minimum-time, minimum-fuel and mixed time/fuel-optimal instances of the control problem can be readily solved via direct collocation, while incurring a significantly lower computational demand with respect to existing techniques. |
| title | Optimal Low-Thrust Orbit Transfers Made Easy: A Direct Approach |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2101.08160 |