Tide Height Cosine Curve
Interpolate tide height on a cosine curve from heightM = lowWaterMeters + (highWaterMeters - lowWaterMeters) * (cos(PI * hoursFromHigh / 6) + 1) / 2.
Description
Interpolate tide height on a cosine curve from heightM = lowWaterMeters + (highWaterMeters - lowWaterMeters) * (cos(PI * hoursFromHigh / 6) + 1) / 2.
Tide Height Cosine Curve is a focused tool for the following task. Interpolate tide height on a cosine curve from heightM = lowWaterMeters + (highWaterMeters - lowWaterMeters) * (cos(PI * hoursFromHigh / 6) + 1) / 2. It reports Tide height from the values you provide rather than inventing measurements, coefficients, or professional judgment that are not part of the input.
When to use Tide Height Cosine Curve
Use this sailing calculation for planning or education when the vessel, units, reference directions, environmental conditions, and assumptions are explicitly known.
- High water (m)
- Required number in m. Height of the high water.
- Hours from high water (h)
- Required number in h. Hours elapsed since high water, between 0 and 6.
- Low water (m)
- Required number in m. Height of the low water.
The cited overview of Tide supplies background for the terminology and domain context used by this tool.1
How Tide Height Cosine Curve works
Interpolate tide height on a cosine curve from heightM = lowWaterMeters + (highWaterMeters - lowWaterMeters) * (cos(PI * hoursFromHigh / 6) + 1) / 2. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.
- Tide height (m)
- Returned number in m. Predicted tide height at the given time.
Limitations and assumptions
- Vessel design and loading, sea state, wind, current, tide datum, weather, chart accuracy, equipment, crew, and safety margins can make real conditions differ from a simplified result.
- Hours from high water must be at least 0.
- Hours from high water must be no greater than 6.
- Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.
Alternative or Complementary approaches
Cross-check current charts, tide and weather services, instrument data, vessel manuals, and applicable navigation rules, and retain a conservative alternative plan.
References
-
Tide — Wikipedia contributors
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