Relativistic Interstellar Flight Simulator — Special Relativity Trajectory Engine

Voyage Parameters

Trajectory Presets

Destination System

Proper Acceleration (a) 1.00 g

Exhaust Velocity (v_e) 0.9990 c

Propulsion System Class

Turnover Profile 50% Midpoint

Relativistic Mechanics Note: At constant proper acceleration a, ship time (τ) and Earth frame time (t) diverge according to t = (c/a) sinh(a τ / c). As velocity approaches c, ship time slows dramatically relative to Earth.

STATUS: RUNNING

Velocity (v/c) 0.0000 c

Lorentz Gamma (γ) 1.0000

Ship Time (τ) 0.00 yr

Earth Time (t) 0.00 yr

Distance (x) 0.00 ly

Flight Scrub / Progress (Ship Proper Time τ) 0% (0.00 / 3.58 yr)

Calculated Trajectory Telemetry PRESET: Proxima 1g Cruise

Ship Proper Time (τ)

3.58 yr

Elapsed on ship clock

Earth Coordinate Time (t)

5.86 yr

Elapsed on Earth clock

Max Velocity Reached

0.965 c

289,300 km/s

Max Lorentz Factor (γ)

3.84

Time Dilation Ratio

Required Mass Ratio (m₀/m_f)

16.20

Relativistic Rocket Eq.

Voyage Analysis: Accelerating continuously at 1.00g to Proxima Centauri (4.24 ly) requires a midpoint turnover at 2.12 ly. The crew experiences 3.58 years while 5.86 years pass on Earth. Peak velocity reaches 0.965c with a maximum Lorentz gamma of 3.84.