A launch window is the span of time when a spacecraft can leave Earth and still reach its planned destination. It matters because Earth rotates, targets move in orbit, and rockets have limited fuel. For missions to the ISS, the launch site must rotate under the station’s orbital plane at the right time.
For missions to the Moon or planets, Earth and the target must be positioned so the spacecraft can follow an efficient path.
Key Facts
- A launch window is the allowed time interval for liftoff that meets mission geometry and energy limits.
- Earth rotates about 15 degrees per hour, so a launch site lines up with a target orbit only at certain times.
- For low Earth orbit rendezvous, the launch azimuth and timing must place the spacecraft near the target orbital plane.
- Plane change cost grows with speed: delta v = 2v sin(theta/2), where theta is the change in orbital inclination.
- Interplanetary missions often use Hohmann transfer timing, with transfer time approximately half the period of the transfer ellipse.
- A missed launch window can require waiting minutes, hours, days, or even years depending on the destination.
Vocabulary
- Launch window
- A launch window is the time interval when a rocket can launch and still meet the mission’s orbit, target, and fuel requirements.
- Orbital plane
- An orbital plane is the flat geometric plane that contains the path of an object orbiting a planet or the Sun.
- Rendezvous
- Rendezvous is the process of guiding a spacecraft to meet another spacecraft or object in orbit.
- Delta v
- Delta v is the change in velocity a spacecraft must produce to complete a maneuver.
- Hohmann transfer
- A Hohmann transfer is an efficient two-burn path that moves a spacecraft between two nearly circular orbits.
Common Mistakes to Avoid
- Thinking a rocket can launch to any orbit at any time: this is wrong because the launch site must align with the desired orbital plane and target position.
- Ignoring Earth’s rotation: this is wrong because rotation changes the launch site’s direction and position by about 15 degrees each hour.
- Assuming a larger rocket removes all timing limits: this is wrong because extra energy can help, but large plane changes and poor geometry can still be too costly.
- Confusing a launch window with launch duration: this is wrong because the window is the allowed clock time for liftoff, not the time the rocket spends ascending.
Practice Questions
- 1 Earth rotates 15 degrees per hour. If a launch site must rotate 45 degrees to align with a target orbital plane, how many hours must mission control wait?
- 2 A spacecraft in low Earth orbit travels at 7.8 km/s. Estimate the delta v for a 10 degree plane change using delta v = 2v sin(theta/2).
- 3 Explain why a mission to the ISS may have a short launch window, while a mission to Mars may have a launch opportunity only about every 26 months.