Bézier Curves for Smooth Entry into Elliptic OrbitsBézier Curves for Smooth Entry into Elliptic Orbits
- Other Titles
- Bézier Curves for Smooth Entry into Elliptic Orbits
- Authors
- Shin, Vladimir; Malikov, Mirzobek; Kim, Yoonsoo
- Issue Date
- Apr-2024
- Publisher
- SPRINGER
- Keywords
- Path planning; Elliptic orbit; Bezier path; Curvature; Orbital entry point
- Citation
- INTERNATIONAL JOURNAL OF AERONAUTICAL AND SPACE SCIENCES, v.25, no.2, pp 622 - 634
- Pages
- 13
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- INTERNATIONAL JOURNAL OF AERONAUTICAL AND SPACE SCIENCES
- Volume
- 25
- Number
- 2
- Start Page
- 622
- End Page
- 634
- URI
- https://scholarworks.gnu.ac.kr/handle/sw.gnu/69060
- DOI
- 10.1007/s42405-023-00684-3
- ISSN
- 2093-274X
2093-2480
- Abstract
- This paper describes a path planning approach for smooth entry of an aerospace vehicle (ASV) into a 3D elliptic orbit. The generated path represents a polynomial Bezier curve connecting a given position of the ASV with the orbital entry point. Recursive and non-recursive analytical formulas for the last k intermediate control points determining Ck smooth Bezier path are derived. To evaluate the performance of the proposed approach, a practical measure of path smoothness such as path length, average curvature, and maximum curvature is introduced to choose the best entry point on the orbit and the corresponding Bezier path. The simulation results demonstrate that minimizing the maximum curvature yields a path that optimizes the proposed smoothness measure.
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