共查询到18条相似文献，搜索用时 125 毫秒
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本文假设地球具球对称，完全弹性和各向同性，推导了冰融相对海平面变化方程，采用汪汉胜等根据ＰＲＥＭ模型计算的地表弹性负荷勒夫数，估算了在今后５０年内，当南极冰盖消融１０米时所产生的全球海平面变化。 相似文献
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南极冰盖部分消融对海平面的影响 总被引：1，自引：0，他引：1
本文假设地球具球对称、完全弹性和各向同性，推导了冰融相对海平面变化方程，采用汪汉胜等（１９９６）根据ＰＲＥＭ（１９８１）模型计算的地表弹性负荷勒夫数，估算了在今后５０年内，当南极冰盖消融１０米时所产生的全球海平面变化 相似文献
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整体地球自转动力学理论一般假设地球是旋转对称的,但实际上地球是一个非对称的旋转椭球体。因此,三轴地球自转的研究是符合现实的。本文在弹性地球自转Liouville方程的基础上,在推导过程中所有量保留到极移平方和椭率乘积量级而忽略其更小量级的情况下,给出了适用于地球自转研究的三轴弹性地球自转的动力学方程。同时也列出了求解三轴弹性地球自转自由摆动的两种方法,即椭圆积分方法和椭圆函数方法。最后指出,如果在推导过程中保留更小量级,则弹性地球模型的自转动力学方程无解析解;旋转对称地球自转的线性解是三轴地球模型在极移量级下的一种特例,且三轴弹性地球模型不可能出现第二自由摆动。 相似文献
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整体地球自转动力学理论的研究一般是在旋转对称模型基础上进行的,但实际上地球是一个非旋转对称的椭球体,因此,三轴地球模型的自转理论研究具有一定的意义。在刚体地球自转Euler动力学方程的基础上,结合物理学中的空间自由旋转物体(如陀螺)的运动学方程,在极移平方量级的精度上给出适用于地球自转研究的三轴刚体地球自转的动力学方程,同时也给出求解三轴刚体地球自由摆动的两种方法,即椭圆积分方法和椭圆函数方法。最后得出旋转对称地球自转是三轴地球自转在极移量级情况下的一种特例,且三轴刚体地球模型不可能出现第二自由摆动的结论。 相似文献
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根据历元平赤道坐标系J2000下的卫星运动方程，推导得出了协议地球坐标系下的卫星运动方程，以其为依据，分析了GLONASS广播星历参数的卫星位置算法对广播星历轨道精度损失的主要原因，发现GLONASS的接口控制文件ICD2002E中的PZ-90坐标系下的卫星运动方程模型存在错误。 相似文献
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卫星重力梯度数据的模拟研究 总被引：3，自引：1，他引：2
推导了运用地球重力场模型计算单点、格网点以及格网平均的扰动重力梯度复组合分量的公式;提出了广义球谐函数及其定积分的新算法,并利用EGM96地球重力场模型试算了全球地区卫星轨道面上的重力梯度分量的格网平均观测值;通过对角线分量满足Laplace方程的精度,验证了该算法的有效性和实用性。 相似文献
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推导了运用地球重力场模型计算单点、格网点以及格网平均的扰动重力梯度复组合分量的公式;提出了广义球谐函数及其定积分的新算法,并利用EGM96地球重力场模型试算了全球地区卫星轨道面上的重力梯度分量的格网平均观测值;通过对角线分量满足Laplace方程的精度,验证了该算法的有效性和实用性。 相似文献
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地球重力场模型及其应用 总被引：3，自引：0，他引：3
本文给出了地球重力场的定义及其内涵,重点论述了确定地球重力场模型的基本理论及其方法,其中包括:1、根据位理论求解拉伯拉斯方程的重力边值问题,导出扰动位的球谐函数级数展开式;2、以莫洛金斯基理论为依据形成的边值问题推求出位系数的表达式;3、依据最小二乘平差方法采用全球或局部地区格网的重力异常平均值推求出位系数值;4、简要叙述了用球冠谐展开式推求局部重力场的概念。本文最后给出了地球重力场模型的某些应用及其发展前景。 相似文献
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The rotational motion for an elastic Earth model with a homogeneous liquid core has been obtained using Hamilton's equations. From the canonical equations for the precessional and nutational motions in an inertial frame, the corresponding equations in an Earth fixed frame are deduced. The linearized equations obtained for polar motion and liquid core motion are equivalent to the Sasao-Okubo-Saito equations. 相似文献
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The rotational motion for an elastic Earth model with a homogeneous liquid core has been obtained using Hamilton's equations.
From the canonical equations for the precessional and nutational motions in an inertial frame, the corresponding equations
in an Earth fixed frame are deduced. The linearized equations obtained for polar motion and liquid core motion are equivalent
to the Sasao-Okubo-Saito equations. 相似文献
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The purpose of this paper is to develop a canonical formulation of the rotational motion for an elastic Earth model. We have
obtained the canonical equations for the precession and nutation motion in an inertial frame, and from this we have deduced
the equations in an Earth-fixed frame. The linearized equations deduced for polar motion are equivalent to those obtained
using Liouville's equations. 相似文献
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Analytical versus semi-analytical determinations of the Oppolzer terms for a non-rigid Earth 总被引：1，自引：1，他引：0
Estimations of the Oppolzer terms for the angular momentum and rotation axes of a non-rigid Earth are obtained from two different
approaches and compared. The first approach is an analytical method which relies on the solutions of the Liouville equations
for a two-layer Earth model. The Oppolzer terms are evaluated from analytical expressions. The results are then compared to
those calculated from Wahr's theory of nutation for a non-rigid Earth, which is the second approach used. Results are obtained
for the main nutation frequencies and for the precession case. The differences between the two solutions are generally quite
small (the relative error is most of the time under 8%) and are, for a large part, due to successive approximations and truncation
effects during their determination. Departures of the results from the two methods are significantly larger for frequencies
near the Free Core Nutation (FCN) resonance. This is particularly true for the Oppolzer terms of the angular momentum axis.
The Earth model adopted is a little bit different in each case: for the Liouville system solution, we have limited the model
to a homogeneous elastic mantle and a homogeneous liquid core. Another source of some of the small differences in the results
is the presence of a solid inner core in Wahr's theory. We confirm through the analytical calculation the strong effect of
the core on the Oppolzer terms of the angular momentum axis for a non-rigid Earth at the precession frequency. Finally, an
application is given in the determination of the axes' position at J2000 for a non-rigid Earth.
Received: 23 February 1998 /Accepted: 18 November 1998 相似文献
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极区基于地球第二近似椭球模型横向坐标系编排复杂,编排本身存在原理性误差,而地球第一近似球体模型虽然存在几何误差,但在极区惯导编排简单,且相对于中低纬度地区,第一近似几何误差较小。惯导极区编排地球模型的选用问题随着极区惯导的深入研究逐渐凸显。针对这一问题,在定义适用于极区的地球近似模型的基础上,推导建立了基于地球第一近似模型几何误差引起的惯导系统误差方程,通过仿真分析对比地球近似模型的惯导误差,分析地球近似模型的适用性。仿真结果表明,地球第一近似模型几何误差会随惯导运行时间发散,而第二近似模型的编排误差随时间变化不大,当惯导运行时间长则地球第一近似模型不再适用。 相似文献
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陈光华 《测绘与空间地理信息》2009,32(2)
假定地球是一个三轴刚性体,在Euclid空间中做自由旋转.在设定主惯性矩A小于B小于C的情况下,求解欧拉运动方程,得到数值解.计算结果表明:地球在除了自转和自由进动之外,同时还存在着自由章动.章动角会随着时间做周期性变化.重点讨论的是章动角的变化. 相似文献
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World-wide synthetic tide parameters for gravity and vertical and horizontal displacements 总被引：3，自引：0，他引：3
The response of the Earth’s crust to the direct effect of lunisolar gravitational forcing is known as the body tide. The body tide is superimposed by surface-loading forces due to the pressure of the periodically varying ocean tide acting on the Earth, called ocean tide loading (OTL). Both body tide and OTL can be decomposed into components of the same frequency known as tidal parameters. However, OTL is more complicated than body tides because of the dynamic effects of the ocean. Estimating OTL requires a model of the ocean tides and knowledge of the elastic properties of the solid Earth. Thus, synthetic tide parameters (amplitude factors and phase leads) have been developed here on a world-wide grid for gravity and positional displacements. The body tide contributions were added to the oceanic contribution to provide the Earth tide response. The accuracy and reliability of the synthetic tidal parameters have been estimated by comparing observed gravity and vertical-displacement tide parameters with those interpolated from our synthetic model, which shows good agreement. Tests also indicate that the synthetic tide parameters provide realistic gravimetric and displacements for practical use in tidal prediction. 相似文献