Abstract
A double-homotopy technique is proposed for the fuel optimization problem of power-limited trajectories with consideration of both variable-specific-impulse and dual-specific-impulse. The thruster input power is smoothed using a sigmoid function. Consequently, the derivative of the thruster input power relative to the position vector becomes continuous. In order to deal with the discontinuous specific impulse of the dual-specific-impulse thruster, the logarithmic homotopy technique is applied to connect the dual-specific-impulse trajectory with the variable-specific-impulse trajectory. Therefore, the optimal dual-specific-impulse trajectory can be solved starting from a variable-specific-impulse trajectory. Missions exploiting the variable-specific-impulse thruster are compared to missions exploiting the dual-specific-impulse thruster. The numerical simulations validate the accuracy and effectiveness of the double-homotopy technique for solving power-limited fuel-optimal trajectories.
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NEODy-S2, sponsored by ESA. Connect: https://newton.spacedys.com/neody.
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This research was supported by the National Natural Science Foundation of China (No. 11872034).
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Li, T., Wang, Z. & Zhang, Y. Double-homotopy technique for fuel optimization of power-limited interplanetary trajectories. Astrophys Space Sci 364, 144 (2019). https://doi.org/10.1007/s10509-019-3637-6
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DOI: https://doi.org/10.1007/s10509-019-3637-6