# Multi-Satellite Observation-Relay Transmission-Downloading Coupling Scheduling Method
## 4 Simulation Results
In this article, \(W_{Warning}=20\times 1000+40\times 500=4\times 10^{4}\). \(\Delta t_{DWarning}\) is the warning value of the available time for data downloading. It can be determined according to the downloading time required for the target observation data. When the available data transmission time to the ground is less than this value, the satellite cannot carry out more observations, and the search process can easily fall into the local optimal state. In this article, \(\Delta t_{DWarning}=20\times 1000/500=40\). The \(\Delta t_{AttitudeMission}\) is the attitude maneuver time estimated value of a single target observation. It is set according to the average value of the attitude maneuver time of a single target observation. According to the attitude maneuver ability of the satellite in this article, it was set to 20. \(c_{SolarConv}\) is the conversion coefficient of solar array charging power efficiency reduction caused by satellite orbit motion and attitude maneuver. According to the satellite orbit and attitude maneuver parameters in this paper, it was set to 0.5. \(\xi_{W}\) is the electric reward weight of local search improvement. This parameter helps the electricity-benefit solution rank higher among solutions. The parameter is set based on the profit of a single target observation in the scenario. Considering the extra electric energy consumption of inter-satellite data transmission, this parameter can be appropriately increased. \(\xi_{W}\) was set to 1 in this article. \(\xi_{D}\) is the data transmission reward weight of local search improvement. This parameter helps the data transmission-benefit solution rank higher among solutions. The parameter is set based on the profit of a single target observation in the scenario. \(\xi_{D}\) was set to 0.6 in this article. The values of \(\psi_{E}\), \(\psi_{D}\) and \(\psi_{M}\) are determined by the influence of different parameter values on the scheduling results under typical conditions. Since the choice of data transmission path planning strategy is selected by the comparison of \(c_{D}\) and \(c_{E}\), the parameter value of \(\psi_{E}\), \(\psi_{D}\) and \(\psi_{M}\) can be determined by the adjustment of \(\psi_{D}\) and \(\psi_{M}\) while keeping \(\psi_{E}\) unchanged. In this article, \(\psi_{E}\) was set to 1. When the value of \(\psi_{D}\) were 1, 2, 3, under the typical condition of scenario 1, the optimal objective function values were the same value as 71.78. Under the typical condition of scenario 2, the optimal objective function values are the same value as 64.56. When the values of \(\psi_{M}\) were 1, 2, 3, under the typical condition of scenario 1, the optimal solution objection function values are 70.8, 71.8, and 71.8. Under the typical condition of scenario 2, the scheduling result and the iterations to reach the optimal solution have the same value of 64.56. Therefore, the value change of \(\psi_{D}\) in this article has little effect on the scheduling results. \(\psi_{D}\) was set to 1 and \(\psi_{M}\) was set to 2. In summary, the method parameters set in the article were \(\xi_{W}=1\), \(\xi_{D}=0.6\), \(W_{Warning}=4\times 10^{4}\), \(\Delta t_{DWarning}=40\), \(\psi_{E}=1\), \(\psi_{D}=1\), \(\psi_{M}=2\), \(\Delta t_{AttitudeMissimk}=20\), \(c_{SolarConv}=0.5\). The scheduling period was 15,000 s. The calculation program was executed on a computer with an Intel Core [EMAIL_ADDRESS] GHz CPU. The maximum number of iterations was set at 200. The satellite parameters used in the simulation were configured based on the reference [58], as given in Tables 3 and 6.