Asteroid detection low thrust transfer trajectory optimization method based on successive convex programming

Abstract

The invention discloses an asteroid detection low thrust transfer trajectory optimization method based on successive convex programming, and belongs to the technical field of aerospace. The implementation method comprises the following steps of: establishing an improved spring equinox kinetic model for low thrust transfer of an asteroid probe; according to the dynamic characteristics of low thrusttransfer, giving constraints and optimization performance indexes of a low thrust trajectory optimization problem; giving a specific form of a low thrust interstellar transfer trajectory optimizationproblem; performing convexification of the problem of non-linear low thrust transfer through dynamic linearization and non-linear equality constraint relaxation; converting the continuous optimal control problem after the convexity into a convex optimization problem through numerical integration; and taking a convex sub-problem as an inner link of each step of iteration, and quickly performing solving to obtain an optimal asteroid detection low thrust transfer trajectory in a limited step number by using a successive approximation strategy, so that the online optimization of the low thrust trajectory can be achieved on the premise of ensuring the optimality and precision of the low thrust trajectory. The asteroid detection low thrust transfer trajectory optimization method is strong in robustness, high in repeatability and high in flexibility.

Description

technical field [0001] The invention relates to a small-thrust transfer trajectory optimization method for asteroid detection based on successive convex programming, in particular to a transfer trajectory optimization method suitable for interstellar transfer missions of asteroid probes, and belongs to the field of aerospace technology. Background technique [0002] Asteroid detection is a hot spot for human deep space activities. Since asteroids contain the original information of the universe, the detection of asteroids can greatly improve human understanding of the origin and evolution of the universe. In the asteroid exploration mission, due to the long flight distance, the probe needs to carry more fuel to ensure that the probe can reach the target asteroid and carry out subsequent missions. However, limited by the launch capability of the existing launch vehicle, the asteroid probe The total weight is severely limited, and sufficient fuel reserves will inevitably reduc...

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Problems solved by technology

[0005] Prior technology [2] (see: Wang Z, Grant M J. Minimum-fuel low-thrust transfers for spacecraft: a convex approach [J]. IEEE Transactions on Aerospace and Electronic Systems, 2018, 54(5): 2274-2290. ) gave a small thrust transfer trajectory optimization method based on convex optimization. Although this method has high computational efficiency, it is difficult to give the initial value of the solution, and it is difficult to determine the optimality of the results obtained by the method

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