How to Use Exoplanet Travel Planner Calculator
The Exoplanet Travel Planner Calculator estimates interstellar journey times in four steps.
- Choose a Destination — Select a target star or exoplanet from the list, or enter a custom distance in light-years or parsecs.
- Set the Travel Speed — Enter the ship speed as a fraction of light speed (e.g. 0.1c, 0.99c) or choose a preset such as current Voyager speed, 10 % c, or 50 % c.
- Read the Result — The Exoplanet Travel Planner Calculator displays both coordinate time (Earth frame) and proper time (crew frame), plus the Lorentz factor γ.
- Compare Destinations — The results table lists multiple targets at once so you can see how travel time scales with distance for your chosen speed.
Formula & Theory — Exoplanet Travel Planner Calculator
The Exoplanet Travel Planner Calculator applies special-relativistic kinematics:
β = v / c
γ = 1 / √(1 − β²)
t = d / v (coordinate time, Earth frame)
τ = t / γ (proper time, crew frame)| Symbol | Meaning | Unit |
|---|---|---|
| d | Distance to target | light-yr |
| v | Ship speed | m/s or ×c |
| β | Speed as fraction of c (0–1) | — |
| γ | Lorentz factor (≥ 1) | — |
| t | Coordinate time (Earth observers) | yr |
| τ | Proper time (crew on ship) | yr |
The Twin Paradox
At high γ, the proper time τ can be dramatically shorter than coordinate time t. A crew travelling at 0.999c to Proxima Centauri (4.24 ly) would age only about 0.19 years while more than 4 years pass on Earth — the classic “twin paradox” scenario.
Nearest Exoplanet Reference
| Target | Distance (ly) | At 0.1c (Earth yr) | At 0.9c (crew yr) |
|---|---|---|---|
| Proxima Centauri b | 4.24 | 42.4 | 2.1 |
| TRAPPIST-1 system | 39.5 | 395 | 19.3 |
| Kepler-442b | 1,206 | 12,060 | 590 |
Use Cases for Exoplanet Travel Planner Calculator
The Exoplanet Travel Planner Calculator brings relativistic travel into reach for anyone curious about the cosmos:
- Science and astronomy education — Students grasp time dilation intuitively by calculating how long a trip to Alpha Centauri would take at 10 % or 90 % of the speed of light.
- Science fiction world-building — Authors and game designers use the Exoplanet Travel Planner Calculator to create internally consistent interstellar civilizations with realistic travel times.
- Astronomy outreach events — Planetarium presenters bring relativistic physics to life with interactive travel-time demonstrations.
- Classroom demonstrations — Physics teachers illustrate the Lorentz factor by comparing coordinate and proper times for a range of speeds.
- Science journalism — Writers verify travel-time claims made in news articles about proposed interstellar concepts such as Breakthrough Starshot.
- Personal exploration and curiosity — Space enthusiasts use the tool to explore “what if” scenarios and appreciate the true scale of interstellar distances.