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Relative Motion of Two Satellites in Close-Elliptical Orbits

机译:近椭圆轨道上两颗卫星的相对运动

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The need for a closed form solution for two bodies in close elliptical orbits is identified. Equations of motion are derived using Hamilton's equations. Floquet theory, and its applicability to this problem, is discussed. The solution for circular orbits is derived in closed form and numerically, using Floquet theory and harmonic analysis. To confirm the accuracy of the computer code. Next the solution for elliptical - orbits is found numerically first for very small eccentricities, finding the dependence on eccentricity. The solution is then found for all time as a function of eccentricity.

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