Geodesic
★★★★☆Undergraduate
📖Definition
Shortest path between two points on a surface or manifold
📐Formulas
Geodesic equation: d²x^k/dt² + Γ^k_ij dxⁱ/dt dx^j/dt = 0
Christoffel symbols: Γ^k_ij
✏️Examples
예제 1
Straight lines on plane
예제 2
Great circles on sphere
예제 3
Arcs on hyperboloid
⚡Applications
Flight paths
General relativity
Computer graphics
🔗Related Documents
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