The Speed of Constant-Thrust Space Travel
Mar 7, 2025
A brachistochrone trajectory — accelerate for the first half of the trip, flip, and decelerate for the second — collapses interplanetary travel times from months to days, if you have an engine that can sustain the burn. This looks at what constant thrust actually buys you across the solar system, from Starship to the Epstein Drive.
References
- Project Rho, fusion engine list — the Epstein Drive
- Project Rho, torchships and brachistochrone trajectories
Models
- "SpaceX Starship Ship 24 & Booster 7 V4" by Clarence365, CC BY 4.0
- "MCRN Tachi (The Expanse)" by Jakub Vildomec, CC BY
- "Saturn" by NestaEric, CC BY 4.0
- "MCRN Donnager (The Expanse)" by Chris Kun
- "Epstein's Yacht (The Expanse)" by Chris Kun
Referenced
01Interplanetary Brachistochrone CalculatorCalculate travel times between planets using continuous acceleration.Tool →02Expanse Delta-v CalculatorCalculate interstellar travel times based on The Expanse's Epstein Drive metrics.Tool →03Relativistic Rocket CalculatorExplore how time dilation affects travel at constant acceleration across cosmic distances.Tool →