Interstellar Travel Calculator

Calculate relativistic travel times to nearby stars with constant acceleration or cruise speed. Includes time dilation, ship vs Earth time, and interstellar destination table.

light-years
m/s² (9.8 = 1g)
Earth Time
5.87 years
Time elapsed on Earth
Ship Time
3.54 years
Time experienced by crew
Time Dilation
3.19×
Lorentz factor γ
Peak Speed
94.9499% c
285 km/s
Time Saved
2.33 years
Earth minus ship time
Peak KE per kg
196.56 PJ/kg
(γ−1)mc² relativistic
Ship vs Earth Time
Earth: 5.9 yr
Ship: 3.5 yr
Interstellar Destinations
DestinationDistance (ly)Earth TimeShip Time
Proxima Centauri4.245.9 yr3.5 yr
Barnard's Star5.967.7 yr4.0 yr
Sirius8.6010.4 yr4.6 yr
Tau Ceti11.9113.7 yr5.1 yr
Vega25.0426.9 yr6.4 yr
Arcturus36.7038.6 yr7.1 yr
Betelgeuse700702.0 yr12.8 yr
Galactic Center26,00026,002.7 yr19.8 yr
Andromeda Galaxy2,537,0002,537,074.2 yr28.7 yr
Planning notes, formulas, and examples

About the Interstellar Travel Calculator

How long would it take to reach Earth's nearest stellar neighbors? The answer depends dramatically on the propulsion technology. At a constant 1g acceleration (comfortable Earth-like gravity) with a midpoint flip-and-decelerate profile, you could reach Proxima Centauri in just 3.5 years of ship time — even though 5.9 years pass on Earth. Welcome to relativistic time dilation.

Einstein's special relativity guarantees that time passes more slowly for the traveler. At high fractions of light speed, a crew could cross the entire Milky Way in a single human lifetime (ship time), though millions of years would pass on Earth. The Lorentz factor γ = 1/√(1−v²/c²) quantifies this effect: at 99% of light speed, γ = 7.09, meaning 7 years pass on Earth for every 1 year on the ship.

This calculator models two flight profiles: constant acceleration with midpoint turnaround (most realistic for a fusion or antimatter drive), and constant cruise speed. The interstellar destinations table shows travel times to 9 major targets from Proxima Centauri to the Andromeda Galaxy.

When This Page Helps

Science fiction writers need realistic travel times. Physics students explore relativistic mechanics. Space enthusiasts compare propulsion scenarios. This calculator handles the relativistic math for constant acceleration — a problem that requires hyperbolic functions most people can't solve by hand.

How to Use the Inputs

  1. Select flight mode: constant acceleration or constant cruise speed.
  2. Enter distance in light-years.
  3. For acceleration mode: enter acceleration (9.8 m/s² = 1g).
  4. For cruise mode: enter speed as a percent of light speed.
  5. Review Earth time, ship time, and time dilation factor.
  6. Explore the destinations table for other targets.
Formula used
Constant acceleration (relativistic): τ = (c/a)×acosh(a×d/(2c²)+1) for half-trip. Earth time: t = (c/a)×sinh(a×τ/c). Peak v = c×tanh(a×τ/c). Time dilation: γ = 1/√(1−v²/c²).

Example Calculation

Result: Earth time: 5.87 years, Ship time: 3.56 years, Peak: 95.3% c

Accelerating at 1g to the midpoint of the 4.24 ly trip to Proxima Centauri, then decelerating at 1g: 5.87 years pass on Earth but only 3.56 years for the crew, reaching 95.3% c at midpoint. γ = 3.3 at peak.

Tips & Best Practices

  • At 1g constant acceleration, you reach 99% c in about 2.3 years of ship time.
  • For short trips (< 1 ly), relativistic effects are negligible.
  • Energy requirements are enormous: reaching 0.1c for a 1000-ton ship requires ~450 petajoules — all of Earth's electricity for a week.
  • Time dilation only becomes significant above ~50% c (γ ≈ 1.15).
  • The twin paradox is real: a returning traveler ages less than people on Earth.

When To Use This Calculator

Calculate relativistic travel times to nearby stars with constant acceleration or cruise speed. Includes time dilation, ship vs Earth time, and interstellar destination table. Use it when you need a repeatable calculation in the physics / general category and want the setup, result, and supporting values kept together. This is especially helpful when small input changes, unit choices, or rounding decisions can change the final number.

How To Check The Result

Start by confirming that the inputs match the formula shown on the page. Then compare the main output with the worked example and any secondary values shown by the calculator. If the result will be used in another calculation, keep extra precision until the final step and record the assumptions beside the number.

Practical Notes

Treat the result as a calculation aid rather than a substitute for context. For schoolwork, include the formula and substitution steps. For planning, technical, financial, or health-related decisions, verify important numbers against primary records, current rules, or a qualified professional before acting on them.

Sources & Methodology

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Frequently Asked Questions

  • Moving clocks tick slower. At speed v, ship time passes at rate 1/γ compared to Earth time, where γ = 1/√(1−v²/c²). At 99% c, γ ≈ 7 — 7 Earth years per 1 ship year.