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The new orbit parameterization consists of the conventional two parameters plus three additional parameters, a constant and two periodic terms (a cosine and a sine term), in the Xdirection to model the effects of the solar radiation pressure.


Some problems in modeling the effect of solar radiation pressure on GLONASS satellites are demonstrated.


The influence of different solar radiation pressure parameterizations on the GLONASS orbits is studied using different parameter subsets of the extended CODE orbit model.


Analytical solar radiation pressure modelling for GLONASS using a pixel array


A new method for calculating analytical solar radiation pressure models for GNSS spacecraft has been developed.

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 For orbit improvement, a extended Kalman filter has been suggested in this paper. Processing in real time a few passes of laser ranging observation data from only one tracking station, the satellite position in current future could be precisely predicted. The dynamical model included the effects of the earth nonspherical shape, atmospheric drag, solar radiation pressure as well as lunar and solar perturbations. In computing these kinds of perturbations, the earth gravitational potential was developed up to... For orbit improvement, a extended Kalman filter has been suggested in this paper. Processing in real time a few passes of laser ranging observation data from only one tracking station, the satellite position in current future could be precisely predicted. The dynamical model included the effects of the earth nonspherical shape, atmospheric drag, solar radiation pressure as well as lunar and solar perturbations. In computing these kinds of perturbations, the earth gravitational potential was developed up to llth degree and 11th order for all of zonal, sectorial and tesseral harmonic terms; exponential model was adopted for the distribution of atmospheric density; the earth shadow was assumed in cylindrical shape; the rotating Kepler's elliptical orbits were adopted in computing the geocentric coordinates of the moon and the sun. For the estimation of satellite state, the extended sequential estimation algorithm was applied. The numerical method was used to integrate state vector and error covariance matrix. As the tests, two examples using simulated and real laser ranging data of LAGEOS satellite respectively were presented. The applications demonstrate that the rather accurate satellite position of subsequent passes required for laser pointing could be predicted, by using the extended sequential filter structured in here and processing a few passes, a relatively small number of range observation data, even though these data were from only one station. Whatever, more passes were processed, more accuracy could be reached. The computer program constructed according to this method is able to run on a minicomputer, such as PDP 11/60, while at the same time, it maintains the required accuracy for orbit prediction. So the extended Kalman filter is a convenient and useful means for those tracking stations, where no large computers are available.  本文借用推广的卡尔曼(Kalman)滤波法实时处理几圈单站的激光测距资料来改进卫星的轨道,以达到精密预报此后近期内卫星位置的目的。在建立动力学模型中,计及了地球扁球形的摄动、大气阻力、太阳辐射压的效应以及日月引力摄动。在计算这些摄动过程中,地球重力位对带谐、扇谐和田谐项都展开到了第11次和第11阶;大气密度分布采用简化的“指数模型”;地影假定呈圆柱形;并以旋转的开普勒轨道求日月的地心坐标。在卫星的状态估计过程中应用推广的序列估计算法,借助数值积分方法积分状态向量和协方差矩阵。利用激光卫星LAGEOS的测距模拟资料和真实数据分别对本方法进行了检验。结果表明:应用本方法即使处理单站的少数几圈的观测数据,可相当精确地预报卫星在此后几圈的位置。如果处理更多圈数的数据,则卫星的预报可以达到更高的精度。并且由于按照本方法建立起来的计算程序可以在小型电子计算机,例如PDP11/60上实施,同时保持应有的精度,因此它颇具有实用的价值。  A 300day time span of continuous Starlette laser observations over the world (from the beginning of October, 1976 to the end of July, 1977) has been selected for the analysis of the ocean tidal perturbations on the orbit of Starlette satellite. 1. Perturbations due to the gravitational field of the earth, atmospheric drag, lunisolar gravitations, solar radiation pressure and solid earth tides were modeled, then the resulting inclination residuals were analyzed for ocean tidal effects, by using maximum entropy... A 300day time span of continuous Starlette laser observations over the world (from the beginning of October, 1976 to the end of July, 1977) has been selected for the analysis of the ocean tidal perturbations on the orbit of Starlette satellite. 1. Perturbations due to the gravitational field of the earth, atmospheric drag, lunisolar gravitations, solar radiation pressure and solid earth tides were modeled, then the resulting inclination residuals were analyzed for ocean tidal effects, by using maximum entropy power spectral and periodogram analyses. It was shown clearly the longperiod (longer than 20 days) perturbations caused by four ocean tidal constituents K_1, P_1, K_2 and S_2. 2. Ocean tidal effects on the Starlette position have been estimated via simulation. The simulated data (or a reference trajectory) was generated by numerical integration based on the force model which included ocean tidal perturbations, in addition to the perturbations mentioned as above. And another trajectory was generated with ocean tidal perturbations neglected in the force model to "best fit" these simulated data. The satellite positions with respect to these two trajectories (one including ocean tidal effects and other one excluding ocean tidal effects) were then compared for a 5day period to get the difference between them. The conclusions obtained are as follows: The ocean tidal constituents K_1, P_1, K_2 and S_2 produce significant longperiod perturbations in the inclination of Starlette satellite. So, it is able to estimate effectively their spherical harmonic parameters (i.e. harmonic coefficients and phase angles) from their contributions to the perturbations in the inclination of Starlette satellite. And since the ocean tidal effects on the Starlette positions can reach to more than 1m. in 5day arc, they must be considered, when the Starlette orbit determination with decimeter accuracy or the study of smaller effects (e.g. polar motion) is required.  本文选择1976年10月到1977年7月期间,全球对卫星STARLETTE激光测距的连续300天的观测资料,分析了海潮对该卫星轨道的摄动。1.在力学模型计及地球形状、大气阻力、日月引力、太阳辐射压和固体潮的摄动情形下,应用最大熵功率谱和周期图解法分析了所得STARLETTE的轨道倾角的残差。从中可明显地看出,海潮的4个主要分潮波K_1、P_1、K_2和S_2所产生的长周期(长于20天)摄动。2.以计及上述所有摄动并还包括海潮摄动在内的力学模型为基础产生模拟资料(即参考轨迹),然后应用计及上述所有摄动但海潮摄动却除外的力学模型数值积分所得的轨迹去拟合这些模拟资料的方法,估计了海潮对STARLETTE在5天弧段内的位置影响的数量级。  In this paper, a new modeling of solar radiation pressure proposed by Vokrouhlicky et al.is introduced and reviewed. Based on radiation transfer theory, this modeling reduces the calculation of solar radiation pressure to the determination of radiative intensity and the evaluationof radiation flux integral. It can treat the case when a satellite is out of Earth's shadow andthe case when a satellite is in the shadow (both penumbra and umbra) with equal pricision, andEarth's albedo effect can also be treated by... In this paper, a new modeling of solar radiation pressure proposed by Vokrouhlicky et al.is introduced and reviewed. Based on radiation transfer theory, this modeling reduces the calculation of solar radiation pressure to the determination of radiative intensity and the evaluationof radiation flux integral. It can treat the case when a satellite is out of Earth's shadow andthe case when a satellite is in the shadow (both penumbra and umbra) with equal pricision, andEarth's albedo effect can also be treated by this modeling. Some of the results obtained from thismodeling are summarized and reviewed.  介绍了一种新的建立太阳辐射压摄动模型的方法，即Vokrouhlicky等人提出的方法．该方法以辐射转移方程为基本数学工具，并运用相应的物理概念，通过对太阳辐射场强和辐射流量的计算来求出太阳辐射压摄动．此方法既适用于卫星处于地球半影区内和地球阴影之外的情形，也适用于地球反照辐射压的计算．还介绍了该方法的一些计算结果，并简单评述了其不足之处．   << 更多相关文摘 
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