3 papers
math.OC2024
Optimal Geodesic Curvature Constrained Dubins' Path on Sphere with Free Terminal Orientation
Deepak Prakash Kumar, Swaroop Darbha, Satyanarayana Gupta Manyam +2
In this paper, motion planning for a vehicle moving on a unit sphere with unit speed is considered, wherein the desired terminal location is fixed, but the terminal orientation is…
math.OC2024
Generalization of Optimal Geodesic Curvature Constrained Dubins' Path on Sphere with Free Terminal Orientation
Deepak Prakash Kumar, Swaroop Darbha, Satyanarayana Gupta Manyam +1
In this paper, motion planning for a Dubins vehicle on a unit sphere to attain a desired final location is considered. The radius of the Dubins path on the sphere is lower bounded…
math.OC2024
Equivalence of Dubins Path on Sphere with Geographic Coordinates and Moving Frames
Deepak Prakash Kumar, Swaroop Darbha, Satyanarayana G. Manyam +2
In this article, two methods of addressing path planning for a Dubins vehicle moving on a sphere are considered, wherein either spherical coordinates or a moving frame are consider…