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Ideal Constant-Acceleration Interstellar Travel — result sheet
Estimate one-way travel time for a symmetric accelerate–cruise–decelerate journey to a stated distance.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: For a symmetric profile, dₐ = vₘₐₓ²/a. If d ≥ dₐ, t = 2vₘₐₓ/a + (d − dₐ)/vₘₐₓ; otherwise vₚₑₐₖ = √(ad) and t = 2vₚₑₐₖ/a.
This planning model assumes constant proper acceleration in the simple Newtonian kinematics sense, followed when possible by a constant-speed cruise and an equal deceleration phase. It automatically switches to a triangular profile when the distance is too short to reach the selected speed cap.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- One-way distance — light-years; minimum 1.0E-6; maximum 1000000
- Travel acceleration magnitude — m/s²; minimum 1.0E-6; maximum 1000000
- Maximum speed as fraction of c — minimum 1.0E-6; maximum 0.99
Worked example
| Input | Value |
|---|---|
| One-way distance | 4.2465 |
| Travel acceleration magnitude | 9.80665 |
| Maximum speed as fraction of c | 0.1 |
About 44.07 years with a cruise phase in this idealized model
Assumptions and limits
- The distance is converted from light-years using 9.460730472 × 10¹⁵ m per light-year and the speed cap uses c = 299,792,458 m/s.
- Acceleration and deceleration have equal magnitude, the path is straight, and the model is nonrelativistic despite the speed being expressed as a fraction of c.
- Fuel, propulsion, relativity, life support, navigation, dust impacts, braking feasibility, and actual mission design are outside the estimate.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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