Methods for Analyzing Transforming Orbits
Document Type
Article
Publication Date
1-28-2025
Abstract
In the spatial Circular, Restricted Three-Body Problem (CR3BP) there exist quasi-periodic orbits that undergo long duration periodic changes in the shape of the orbit. These long duration transformations may initially appear as though the motion is chaotic; however, over time these transformations repeat with a predictable pattern. Similar to any periodic orbit in the CR3BP, these transforming orbits can be defined by a position and velocity vector, but these six terms do not allow one to easily visualize and understand the transformation of the orbit. An efficient way of describing the motion of a transforming orbit is necessary in order for these orbits to be evaluated for their usefulness for conducting different mission types. This paper introduces two new variables called the Scaled Position Difference and Transformation Indicator to analyze the behavior of transforming orbits. This paper presents a standardized method for describing transforming orbits to enable them to be more easily discussed and considered for future missions. This paper also uses a chaos indicator to analyze these transforming orbits. The chaos indicator can provide additional insight into how the orientation of the orbit changes over time.
Source Publication
Nonlinear Dynamics (ISSN 0924-090X, | eISSN 1573-269X)
Recommended Citation
Kapolka, T. J., Bettinger, R. A., & Hicks, K. D. (2025). Methods for analyzing transforming orbits. Nonlinear Dynamics, 113(9), 9773–9789. https://doi.org/10.1007/s11071-024-10597-9
Comments
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The article was initially published online in January 2025 by Springer as an article of Nonlinear Dynamics , ahead of inclusion in an issue. It was later included in Volume 119, as cited on this page.
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