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Bézier Curves for Smooth Entry into Elliptic Orbits

Authors
Shin, VladimirMalikov, MirzobekKim, Yoonsoo
Issue Date
Dec-2023
Publisher
SPRINGER
Keywords
Path planning; Elliptic orbit; Bezier path; Curvature; Orbital entry point
Citation
INTERNATIONAL JOURNAL OF AERONAUTICAL AND SPACE SCIENCES
Indexed
SCIE
SCOPUS
KCI
Journal Title
INTERNATIONAL JOURNAL OF AERONAUTICAL AND SPACE SCIENCES
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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공학계열 > 기계항공우주공학부 > Journal Articles

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