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开普勒方程

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In the field of spaceborne remote sensing, a geometric collinearity equation of pushbroom sensor with the Kepler parameters of the satellite orbit and the attitudes of sensor has been developed. Testing the sensor model on a SPOT-5 imagery, the planimetric accuracy of object positioning is 83.392m on the ground. According to the orbital dynamical model and the kinematics model of satellite attitude, an algorithm of extrapolative location is developed. Testing the algorithm on CBERS-2 high resolution satellite imageries of central China, when the depth of extrapolation is 300km, the planimetric precision is 53.555m including the measurement errors as well as the modeling error over than the 568m which is the planimetric precision of systematic rectification.

航天遥感方面,利用6个卫星轨道开普勒参数和3个传感器姿态建立了推扫式卫星遥感影像的严格构像方程,经对一景SPOT-5影像实施无地面控制对地目标定位获得了83.392m的平面精度;根据遥感卫星的运动规律,提出了卫星轨道参数、传感器姿态和扫描侧视角的外推算法,用于资源二号卫星影像的外推对地目标定位,当外推深度达300km时,目标定位精度不低于50m。

The light emitted from a Keplerian ring around the objects with strong gravitational field should be affected by Doppler shift, gravitational redshift and deflection of light. The line profiles for a faraway observer are dominated by these effects. In this paper the precise solutions of line profiles for the Keplerian rings in the Schwarz-schild case have been obtained by means of the kinetic equation for photons.

对于一个围绕强引力场物体作开普勒运动的环状发光物,它所发射的光线要受多普勒频移,引力红移和光线偏折等效应的作用,这种作用决定了远处观察者所看到的谱线轮廓,本文利用光子输运方程方法,求出在Schwarzschild度规中的开普勒环所发射的谱线的轮廓的精确解。

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Lao Qiu is the Chairman of China Qiuyang Translation Group and the head master of the Confucius School. He has committed himself to the research and promotion of the classics of China.

老秋先生为中国秋阳翻译集团的董事长和孔子商学院的院长,致力于国学的研究和推广。