Journey Parameters
Uses constant acceleration with relativistic physics. Time dilation effects apply.
Traditional chemical rockets using current technology. Fast but limited by fuel constraints. Typical escape velocity from Earth.
Journey Results
Journey Visualization
Drag the spaceship 🚀 to explore the journey at different points
Time Dilation Effect
Relativistic Formulas
Proper Time (Traveler's Time)
For constant acceleration: accelerate to midpoint (d/2), then decelerate from midpoint. Each phase takes τ_phase = (c/a) × arccosh(1 + a×(d/2)/c²), total = 2 × τ_phase
Coordinate Time (Earth Time)
Time dilation effect: Earth experiences more time than the traveler due to relativistic effects. Calculated for each phase and doubled for the complete journey.
Maximum Velocity
Maximum velocity reached at the midpoint (end of acceleration phase). The hyperbolic tangent ensures v < c (never reaches light speed).
Constants: c = 299,792,458 m/s (speed of light), a = g × 9.80665 m/s² (acceleration)
Travel Time (Classical Physics)
Simple distance-over-speed calculation. At realistic speeds (much slower than light), time dilation is negligible, so traveler time equals Earth time.
- t: Time (years)
- d: Distance (light-years converted to km)
- v: Velocity (km/s)
Note: At speeds achievable with current technology, relativistic effects are negligible. No time dilation occurs.