Terminus Calculator
Coordinate Conversion Results
Coordinate Conversion Formulas:
Decimal Degrees to DMS:
Degrees = integer part of decimal
Minutes = integer part of (decimal – degrees) × 60
Seconds = ((decimal – degrees) × 60 – minutes) × 60
DMS to Decimal Degrees:
Decimal = degrees + (minutes/60) + (seconds/3600)
UTM Conversion: Uses complex zone calculations based on WGS84 ellipsoid
Distance Calculation Results
Haversine Distance Formula:
a = sin²(Δφ/2) + cos(φ1) × cos(φ2) × sin²(Δλ/2)
c = 2 × atan2(√a, √(1−a))
d = R × c
Where:
- φ = latitude in radians
- λ = longitude in radians
- R = Earth’s radius (6371 km)
- d = distance between points
Midpoint Calculation Results
Midpoint Formula:
φₘ = (φ₁ + φ₂) / 2
λₘ = (λ₁ + λ₂) / 2 (for short distances)
For longer distances:
Bₓ = cos(φ₂) × cos(Δλ)
Bᵧ = cos(φ₂) × sin(Δλ)
φₘ = atan2(sin(φ₁) + sin(φ₂), √((cos(φ₁) + Bₓ)² + Bᵧ²))
λₘ = λ₁ + atan2(Bᵧ, cos(φ₁) + Bₓ)
Terminus Calculator FAQs
What coordinate formats does this calculator support?
The calculator supports Decimal Degrees (DD), Degrees Minutes Seconds (DMS), and UTM coordinate systems for input and output.
How accurate are the distance calculations?
Distance calculations use the Haversine formula with Earth’s average radius (6371 km), accurate to within 0.5% for most practical purposes.
Can I use this calculator for navigation?
While the calculator provides accurate results, always use proper navigation tools for critical applications. This is best for planning and estimation.
What’s the maximum distance I can calculate?
The calculator works for any distance on Earth, but the midpoint calculation becomes less accurate for antipodal points (opposite sides of the globe).
About Our Terminus Calculator
Our free terminus calculator helps travelers, surveyors, and geographers work with GPS coordinates and geographic calculations. This versatile tool converts between decimal degrees, degrees-minutes-seconds, and UTM coordinates, calculates distances between points using the Haversine formula, and finds the midpoint between locations. Whether you’re planning a hiking route, analyzing geospatial data, or working on surveying projects, this coordinate calculator provides accurate results with visual maps. The tool handles all common coordinate systems and distance units (kilometers, miles, nautical miles), making it perfect for navigation, GIS applications, and academic research.
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