利用中国探月甚长基线干涉测量(very long baseline interferometry,VLBI)观测数据改进月球物理天平动参数的预测精度,对于着陆器和巡视器的精密定位具有重要意义。利用VLBI单点定位模型解算得到“嫦娥三号”(Chang’E-3,CE-3)着陆器的...利用中国探月甚长基线干涉测量(very long baseline interferometry,VLBI)观测数据改进月球物理天平动参数的预测精度,对于着陆器和巡视器的精密定位具有重要意义。利用VLBI单点定位模型解算得到“嫦娥三号”(Chang’E-3,CE-3)着陆器的坐标和物理天平动,分别采用循环神经网络(recursive neural network,RNN)和长短期记忆(long-short term memory,LSTM)网络进行物理天平动的预测。选取月球着陆器的坐标和VLBI观测量作为输入量,将3个欧拉角Ω,i,μ作为输出量,将11323个样本用于训练,2315个样本用于测试,2315个样本用于验证,1000个样本用作与预测结果进行对比。结果显示,验证集的数据经过1000次训练和9次迭代训练后的梯度约为6.2×10^(-5)(″)/s,证明了LSTM网络与RNN的可靠性。LSTM网络和RNN的3个欧拉角的预测精度分别达到了97.8%、99.7%、97.2%和95.2%、98.5%、95.8%,LSTM网络的预测精度更高。与DE421星历对欧拉角的预测结果进行比较,结果证明了LSTM网络预测精度更高。展开更多
This study briefly describes the targets and problems of the future Japanese project In situ Lunar Orientation Measurement(ILOM),which is planned for the year 2017.One of the important parts of the project is to place...This study briefly describes the targets and problems of the future Japanese project In situ Lunar Orientation Measurement(ILOM),which is planned for the year 2017.One of the important parts of the project is to place a small optical telescope on the Lunar surface with the purpose to detect the Lunar physical libration with unprecedented accuracy 0.001 arcsec.At the present stage of research the computer simulation of future observations is going on,aiming to determine the moments of transition of a star through the first meridian and the polar distance of the star.Rotation of the Moon is being calculated under the analytical theory developed in the frame of a theme of the grant.A list of stars brighter than 12 m,whose coordinates are close to the Lunar precession pole motion,was constructed on the basis of several star catalogues.On average,for each moment of observation in the field of view of the telescope(1°) there are approximately 20-25 stars.Analyses of simulated stellar tracks observable from the Lunar surface(in a polar zone) reveal the significant difference from daily parallels of stars in comparison with the Earth.During one Lunar "day" equal 237 terrestrial days,a star moves on a spiral.However,depending on a longitude of a star,these spirals can be untwisted or twisted.In the latter case a star can describe a loop in the sky of the Moon during the period of supervision.Such an unusual astrometric phenomenon combined with the slow rotation of the Moon is compared with the Earth and the fast precession motion of the Lunar pole(in comparison with the precession motion of a terrestrial pole).展开更多
文摘利用中国探月甚长基线干涉测量(very long baseline interferometry,VLBI)观测数据改进月球物理天平动参数的预测精度,对于着陆器和巡视器的精密定位具有重要意义。利用VLBI单点定位模型解算得到“嫦娥三号”(Chang’E-3,CE-3)着陆器的坐标和物理天平动,分别采用循环神经网络(recursive neural network,RNN)和长短期记忆(long-short term memory,LSTM)网络进行物理天平动的预测。选取月球着陆器的坐标和VLBI观测量作为输入量,将3个欧拉角Ω,i,μ作为输出量,将11323个样本用于训练,2315个样本用于测试,2315个样本用于验证,1000个样本用作与预测结果进行对比。结果显示,验证集的数据经过1000次训练和9次迭代训练后的梯度约为6.2×10^(-5)(″)/s,证明了LSTM网络与RNN的可靠性。LSTM网络和RNN的3个欧拉角的预测精度分别达到了97.8%、99.7%、97.2%和95.2%、98.5%、95.8%,LSTM网络的预测精度更高。与DE421星历对欧拉角的预测结果进行比较,结果证明了LSTM网络预测精度更高。
基金supported by the Russian-Japanese Grant RFFI-JSPS 09-02-92113-ЯΦ_a (2009-2010)the National Natural Science Foundation of China (Grant Nos.11010144 and 10973031)the Chinese National High-Tech Projects (Grant No.2010AA122206)
文摘This study briefly describes the targets and problems of the future Japanese project In situ Lunar Orientation Measurement(ILOM),which is planned for the year 2017.One of the important parts of the project is to place a small optical telescope on the Lunar surface with the purpose to detect the Lunar physical libration with unprecedented accuracy 0.001 arcsec.At the present stage of research the computer simulation of future observations is going on,aiming to determine the moments of transition of a star through the first meridian and the polar distance of the star.Rotation of the Moon is being calculated under the analytical theory developed in the frame of a theme of the grant.A list of stars brighter than 12 m,whose coordinates are close to the Lunar precession pole motion,was constructed on the basis of several star catalogues.On average,for each moment of observation in the field of view of the telescope(1°) there are approximately 20-25 stars.Analyses of simulated stellar tracks observable from the Lunar surface(in a polar zone) reveal the significant difference from daily parallels of stars in comparison with the Earth.During one Lunar "day" equal 237 terrestrial days,a star moves on a spiral.However,depending on a longitude of a star,these spirals can be untwisted or twisted.In the latter case a star can describe a loop in the sky of the Moon during the period of supervision.Such an unusual astrometric phenomenon combined with the slow rotation of the Moon is compared with the Earth and the fast precession motion of the Lunar pole(in comparison with the precession motion of a terrestrial pole).
