论文标题

土星 - 塞拉杜斯圆形限制的三体问题的科学轨道

Science orbits in the Saturn-Enceladus circular restricted three-body problem with oblate primaries

论文作者

Salazar, Francisco, Alkhaja, Adham, Fantino, Elena, Alessi, Elisa Maria

论文摘要

这项贡献研究了围绕地塔的一类轨道的特性。在先前的研究中,设计了一组杂节连接,在土星和埃塞拉德斯作为初选的圆形限制三体问题的平衡点L1和L2周围的光环轨道之间设计了一组杂斜连接。这些轨迹的几何特征使它们成为对田野表面表面扩展观察的科学轨道的良好候选者:它们高度倾斜,接近月球并且没有动作。但是,土星上方的低高度和土星的强烈扰动效应需要研究初选的极性变平的影响。因此,这些解决方案在这里重新考虑了一个动力学模型,该模型包括土星和土豆胶的含量,分别和结合。在扰动的模型中获得了平衡点L1和L2围绕L1和L2及其稳定且不稳定的双曲线不变歧管的动态等效物,并确定了无动作的异晶连接。与不受干扰的问题的相应解决方案的比较表明,在干扰模型中,定性和定量特征没有显着改变。结果证实了在经典循环限制的三体问题中获得的解决方案的科学价值,并表明可以将较简单的模型用于初步可行性分析。

This contribution investigates the properties of a category of orbits around Enceladus. In a previous investigation, a set of heteroclinic connections were designed between halo orbits around the equilibrium points L1 and L2 of the circular restricted three-body problem with Saturn and Enceladus as primaries. The geometrical characteristics of those trajectories makes them good candidates as science orbits for the extended observation of the surface of Enceladus: they are highly inclined, they approach the moon and they are maneuver-free. However, the low heights above the surface and the strong perturbing effect of Saturn require a study of the influence of the polar flattening of the primaries. Therefore, those solutions are here reconsidered with a dynamical model that includes the effect of the oblateness of Saturn and Enceladus, separately and in combination. The dynamical equivalents of the halo orbits around the equilibrium points L1 and L2 and their stable and unstable hyperbolic invariant manifolds are obtained in the perturbed models, and maneuver-free heteroclinic connections are identified. A comparison with the corresponding solutions of the unperturbed problem shows that qualitative and quantitative features are not significantly altered in the perturbed model. The results confirm the scientific value of the solutions obtained in the classical circular restricted three-body problem and suggests that the simpler model can be used in a preliminary feasibility analysis.

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