How to use the gravitational clock offset calculator
Estimate how much faster a clock runs at a higher altitude because of weaker gravity. Enter height above reference in the field above; the clock gain per day, clock gain per year are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “gravitational time dilation clock”, “GPS clock offset”, “clock gain at height”, “calculate gravitational clock offset”, “find clock gain per day”.
Formula
Variables
- h — Height above reference (m)
Worked example
With height above reference = 1000 m, the calculator gives clock gain per day ≈ 9.427423 ns; clock gain per year ≈ 3.443366 µs.
Frequently asked questions
What is the gravitational clock offset calculator used for?
Estimate how much faster a clock runs at a higher altitude because of weaker gravity. It helps with questions such as “gravitational time dilation clock”, “GPS clock offset”, “clock gain at height”.
What is the formula for the gravitational clock offset calculation?
Clock gain per day (ns) = GRAV × h / (CLIGHT × CLIGHT) × 86400 × 1e9. Clock gain per year (µs) = [Clock gain per day] × 365.25 / 1000. Here h is height above reference (m).
What inputs do I need for the gravitational clock offset calculator?
You need height above reference in m. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the gravitational clock offset calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the gravitational clock offset result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.