An Analytic Relative Orbit Model Incorporating J3

An Analytic Relative Orbit Model Incorporating J3
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结合J3的解析相对轨道模型

DOI:
10.2514/6.2006-6761
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发表时间:
2006
期刊:
--
影响因子:
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通讯作者:
P. Palmer
P. Palmer
中科院分区:
--
文献类型:
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作者:
M. Halsall;P. Palmer

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的方法,我们在这里提出的其他已发表的工作就这一主题是,我们开始与解析解的运动方程,而不是试图开发线性方程的相对运动,我们然后解决。这种方法自然导致将轨道运动分解为三个部分:包含编队长期演变的引导中心的运动;编队围绕该引导中心的周期性运动-作为编队的近似固体运动;以及编队内单个卫星的周期性运动。通过将运动分成这三个分量,我们可以对运动进行简单的描述,避免了其他公式中的许多复杂性。我们提出了卫星轨道的传播,以充分评估我们所开发的解析表达式的准确性。
of the approach we present here to other published work on this topic is that we start with analytic solutions of the equations of motion rather than attempt to develop linearised equations of relative motion which we then solve. This approach leads naturally to a decomposition of the orbital motion into three components: the motion of a guiding centre that incorporates the secular evolution of the formation; the periodic motion of the formation about this guiding centre - as an approximately solid body motion of the formation; and the periodic motion of individual satellites within the formation. By separating the motion into these three components we can develop a simple description of the motion that avoids a lot of the complexity in other formulations. We present propagations of satellite orbits to fully evaluate how accurate the analytic expressions we have developed are.