Try to reproduce heading gate results from Bart

[ufechner7]

• A plot similar to Bart's plot in the AWEC abstract is produced
• Show the circle flight in the 3D viewer
• Add the option to fly a circle at different elevation angles of the centre point of the circle
• Add a corrected function to calculate the heading
• We agree on the best choice of the x-axis of the third diagram (time or turn angle)
• Bart agrees that there is no obvious bug in this example
• Update the documentation

[codecov-commenter]

Codecov Report

❌ Patch coverage is 88.88889% with 1 line in your changes missing coverage. Please review.

Files with missing lines	Patch %	Lines
src/KiteUtils.jl	87.50%	1 Missing ⚠️

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[Copilot]

Pull request overview

This PR adds functionality to reproduce heading gate results from Bart by making a bug fix to handle edge cases in quaternion-to-Euler conversion and adding a comprehensive test example. The changes include fixing a numerical stability issue, reorganizing imports/exports for better readability, and creating a new example file to test heading calculations for kites flying in circular patterns.

Changes:

• Fixed numerical stability issue in quat2euler by clamping the input to asin to prevent domain errors
• Reorganized imports and exports in KiteUtils.jl to be alphabetically sorted
• Added new comprehensive example test_heading.jl that simulates kites flying in circular patterns and calculates/plots heading angles

Reviewed changes

Copilot reviewed 4 out of 4 changed files in this pull request and generated 2 comments.

File	Description
src/transformations.jl	Added clamp to prevent domain errors in asin when converting quaternions to Euler angles
src/KiteUtils.jl	Reorganized imports and exports alphabetically for better code organization
examples/test_heading.jl	New comprehensive test file with functions to calculate elevation, azimuth, orientation, and heading for kites flying in circular patterns, including visualization
examples/Project.toml	Added Rotations dependency needed by the new test file

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[Copilot]

Pull request overview

Copilot reviewed 3 out of 3 changed files in this pull request and generated 3 comments.

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[Copilot]

The variables rf and dt are declared but never used in this loop. Remove the unused variable declaration.

Suggested change

	local rf, dt
	local dt