Geodesy

Surveying problems

Direct and inverse plane surveying problems.

Geodesy

Direct problem: X coordinate

X₂ = X₁ + S cos A→
Geodesy

Direct problem: Y coordinate

Y₂ = Y₁ + S sin A→
Geodesy

Inverse problem: distance

S = √((X₂−X₁)²+(Y₂−Y₁)²)→
Geodesy

Inverse problem: azimuth

A = atan2(Y₂−Y₁, X₂−X₁)→
Geodesy

Next direction angle

α₂ = (α₁ + 180° − β) mod 360°→