Mission Planning for Astronomical Satellite Based on Genetic Algorithm under Tiling Coverage Strategy
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摘要: 天文卫星机遇目标任务规划是一个复杂的多目标优化问题。针对Tiling覆盖策略的机遇目标任务规划要求及其约束条件进行抽象，建立任务规划问题模型，在规划模型基础上设计基于遗传算法的多目标优化任务规划算法TPA，并通过实例数据验证了不同参数条件下的求解。在解决Tiling覆盖策略的天文卫星机遇目标多目标任务规划问题时，所提方法能够在保证算法收敛性的同时兼顾优先级和规划路径，满足规划需求。
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关键词:
- 任务规划 /
- 机遇目标 /
- Tiling覆盖策略 /
- 多目标优化
Abstract: Astronomical observation is an important means for space scientific research. ToO (Target of Opportunity), such as GW (Gravitational Wave) and GRB (Gamma Ray Burst), are significant phenomena in astronomical observation. The planning of ToO observation is an important task. Astronomy satellite planning is a complex multi-objective optimization problem. In this paper, the mission planning requirements and constraints under tiling coverage strategy are abstracted, and the ToO planning model under tiling coverage strategy is established. Based on the model, a multi-objective optimization planning algorithm TPA (ToO Planning Algorithm) based on GA (Genetic Algorithm) is designed. An example is given to illustrate the solution under different parameters, where the simulation input data is provided by JAUBERT Jean of SVOM team. The simulation result shows that the TPA can effectively solve the multi-objective task planning problem of astronomical satellites ToO under coverage strategy. -
表 1 数学模型中的变量定义
Table 1. Parameters definition
参数 含义 ${{S}}$ 卫星资源集合 ${{Z}}$ 观测天区 $[{{{T}}_{{{\rm{s}}}}},{{{T}}_{{{\rm{e}}}}}]$ ${{{T}}_{{{\rm{s}}}}}$表示规划起始时间，${{{T}}_{{{\rm{e}}}}}$表示规划结束时间 ${{T}}$ 观测任务目标Tile集合 ${{W}}$ 可视时间窗口集合 ${{R}}$ ${{R}}$为规划方案 
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表 2 输入数据Tile
Table 2. Input data of Tile
Tile 编号 赤经/ (deg) 赤纬/ (deg) 观测时长/min 优先级 1 46.4754098361 –44.2015298511 10 1.91000161867 2 45.75 –44.9938801505 10 1.82690866131 3 47.1774193548 –43.4068584859 10 1.80932834628 4 46.5254237288 –45.7839671618 10 1.70176233296 ··· ··· ··· ··· ··· 228 44.296875 –9.59406822686 10 0.0507893812028 229 43.59375 –8.98929934516 10 0.0501842856465 230 45.0 –7.78271438539 10 0.0501176647958
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表 3 时间窗口的输入数据
Table 3. Input data of time windows
Tile 编号 开始时间 结束时间 持续时间 1 23155989 23157698 1709 1 23161132 23163529 2397 1 23166965 23169360 2395 1 23172798 23175191 2393 ··· ··· ··· ··· 230 23230989 23233709 2720 230 23236814 23239534 2720 230 23242639 23243347 708
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表 4 规划结果中Tile优先级
Table 4. Tile’s priority in planning results
规划结果中前n
Tile占比/(%)优先级降序前 n Tile在规划
结果中前n Tile 的占比/(%)20 88.24 50 95.24 80 94.03 100 92.86
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