伽利略卫星的等势面和正常重力场

给出了轨道面接近赤道面的轨旋同步卫星的正常重力场在等势面上分布的展开式，并讨论了潮汐对其正常重力场的影响，利用这一方法，讨论了伽利略卫星正常重力场及其在等势面上的分布，以及木星的潮汐对伽利略卫星的正常重力场的影响，计算表明，潮汐对伽利略卫星的正常重力场影响不大，其径向的影响grt大约是10^-3-10^-5m/s^2的量级，与重力场在经度和纬度方向的分量接近，通过估算，月球的重力场所受到的潮汐影响要比绝大多数伽利略卫星受到的潮汐影响小。     

地球定向参数预报误差及其对北斗三号卫星定轨精度的影响

地球定向参数(Earth orientation parameters, EOP)是地球参考系到地心天球参考系之间转换的桥梁,是卫星精密定轨过程中不可缺少的重要参数。以国际地球自转服务(International Earth Rotation Service, IERS)和中国科学院上海天文台(Shanghai Astronomical Observatory,SHAO)提供的EOP参数为例,分析了北斗三号仅区域网观测模式和星地星间联合观测模式下的定轨精度与EOP预报误差间的关系。研究表明,对于IERS提供的产品,其预报误差对仅区域站定轨模式的定轨精度影响较小,但是其10 d内的预报误差对星地星间联合定轨模式定轨精度的影响可达到分米级。对于SHAO提供的产品,两种定轨模式的定轨精度均随着EOP预报天数的增大而逐渐衰减。除此之外,不同产品的星地星间联合定轨模式下定轨精度均小于仅区域网监测下的定轨模式下的定轨精度,表明星间链路的加入可以降低卫星定轨对EOP预报误差的依赖。该研究对区域观测条件下的卫星精密定轨工程实现具有重要意义。     

卫星轨道理论的深入研究及其在定轨、预报和参数测定中的应用

自从1957年第1颗人造地球卫星Sputnik升空以来,人类进入空间时代已过半个世纪,这50多年中卫星技术日趋成熟.这篇论文根据作者在博士研究生阶段参加的3项课题撰写而成.这3项课题涉及了人造地球卫星轨道理论及应用的几个主要方面,具有一定的代表性,也能够展示目前卫星轨道研究的主要内容、手段以及在应用领域中的重要作用.     

Internal Structure Models and Dynamical Parameters of the Galilean Satellites

Radio Doppler data generated by the Deep Space Network (DSN) from the recent encounters of the Galileo spacecraft with the Galilean satellites have been used to determine the mass (GM) and unnormalized quadruple gravity coefficients in the external gravitational fields of the Galilean satellites. Therefore, a series of internal structure models, which satisfy the given constraints for the mean density and the mean moment of inertia, can be presented by solving Emden equations. And some dynamical parameters can also be calculated based on the density distributions given by internal structure models.     

潮汐能量耗散与地月系统演化

对地月系统而言, 在很大程度上角动量守恒是正确的. 地月距离的变化主要是受到月球引起的潮汐能量耗散的影响. 根据月球的平均运动和它的长期加速度, 就可以计算出月潮能量耗散的数值. 海洋是潮汐能量耗散的主要区域. 由于潮汐的高度正比于月球对潮汐隆起的万有引力, 由此可导出总的月球潮汐摩擦力正比于月球平均运动的平方. 如果采用月球平均加速度数值-20.72$''\cdot$cy^-2, 就可以推算出35亿年来地月之间的距离以及回归年日数和朔望月日数的演化. 此理论结果与古生物钟的数据进行比对, 两者符合较好.     

Rotation of Synchronous Satellites Application to the Galilean Satellites

An analytical theory of the rotation of a synchronous satellite is developed for the application to the rotation of the Galilean satellites. The theory is developed in the framework of Hamiltonian mechanics, using Andoyer variables. Special attention is given to the frequencies of libration as functions of the moments of inertia of the satellite. This revised version was published online in July 2006 with corrections to the Cover Date.     

The Q Values of the Galilean Satellites and their Tidal Contributions to the Deceleration of Jupiter''''s Rotation

The relationship between the k2/Q of the Galilean satellites and the k2J/QJ of Jupiter is derived from energy and momentum considerations. Calculations suggest that the Galilean satellites can be divided into two classes according to their Q values: Io and Ganymede have values between 10 and 50, while Europa and Callisto have values ranging from 200 to 700. The tidal contributions of the Galilean satellites to Jupiter's rotation are estimated. The main deceleration of Jupiter, which is about 99.04% of the total, comes from Io.     

Moments of inertia and the Chandlerian period for two-and three-layer models of the Galilean satellite Io

We consider two-layer (Fe-FeS core+silicate mantle) and three-layer (Fe-FeS core+silicate mantle+crust) models of the Galilean satellite Io. Two parameters are known from observations for the equilibrium figure of the satellite, the mean density ρ₀ and the Love number k₂. Previously, the Radau-Darwin formula was used to determine the mean moment of inertia. Using formulas of the Figure Theory, we calculated the principal moments of inertia A, B, and C and the mean moment of inertia I for the two-and three-layer models of Io using ρ₀ and k₂ as the boundary conditions. We concluded that when modeling the internal structure of Io, it is better to use the observed value of k₂ than the moment of inertia I derived from k₂ using the Radau-Darwin formula. For the models under consideration, we calculated the Chandlerian wobble periods of Io. For the three-layer model, this period is approximately 460 days.     

New evidence of precision premium for Galilean satellites from CCD imaging

After a CCD image of the four Galilean satellites of Jupiter is obtained by a long focal length telescope, we can compare the theoretical positions of these satellites with their pixel positions so as to obtain the calibration parameters of the CCD field of view. In theory, when two of the four satellites have small enough separation, their relative positional measurement will have a good accuracy since the error existing in the solved calibration parameters has a direct proportional effect on the separation of the two satellites. The 347 CCD images taken by 1-m long focal length telescope at Yunnan Observatory in 2002-2005 are used to perform the experimental test. After we improve the centroid algorithm for the satellites and our former halo-removal technique, the results show that the positional measurement of two small-separation satellites has an external precision as good as 0.01-0.03 arcsec. This precision has comparability as that from rarely occurring mutual events of the Galilean satellites. This experiment confirms the finding of the “precision premium” firstly presented by Pascu [1994. An appraisal of the USNO program of photographic astrometry of bright planetary satellites. In: Morrison, L.V., Gilmore, G.F., (Eds.), Galatic and Solar System Optical Astrometry, pp. 304-311] using photographic observations. We believe that this type of observations, besides mutual event observations, might also be used to improve our knowledge of the orbital motions of the Galilean satellites because of its much more opportunities.     

Updated Numerical Ephemerides of the Galilean Satellites of Jupiter

New versions of the ephemerides for the Galilean satellites of Jupiter (Io, Europa, Ganymede, and Callisto) constructed by numerically integrating the equations of motion of the satellites are presented. The satellite motionmodel takes into account the non-sphericity of Jupiter, the mutual perturbations of the satellites, and the perturbations from the Sun and major planets. The initial satellite motion parameters have been improved based on all the available series of ground-based optical observations spanning the interval 1891-2017, spacecraft observations, and radar observations. As a result, the coefficients of the expansion of the satellite coordinates and velocities in terms of Chebyshev polynomials in the interval 1891- 2025 have been obtained. The root-mean-square errors of the observations and the graphs of comparison of the constructed ephemerides both with the observations and with Lainey's numerical ephemerides are presented. The constructed ephemerides are publicly accessible.     

New constraints on Io's and Jupiter's tidal dissipation

Although the quest for tidal accelerations among the Galilean satellites has been ongoing since the beginning of the last century, no real agreement has been found so far. Using a numerical approach, we simulate the effect of tidal interactions on the evolution of Io's motion during the last century. We show how these tidal effects can vanish during the fit process to observational data. By testing different values of dissipation within Io and Jupiter, we show that a non-detection of significant Io's orbital acceleration does not imply a large dissipation within Jupiter, and we suggest an upper bound value () for the dissipation rate within Io.