Lambda-4S

The Smallest Orbital Rocket

Digitized Data From Historical Sources

Most of the primary sources are from the 1960’s. They contain some really interesting charts, but not the raw data. WebPlotDigitizer was used to extract approximate values as CSV files.

Table of Contents:

Modeled L-4S-5 Trajectory, 3 Cases: First Stage and Booster

The L-4S trajectory was optimized by simulating several cases of launch rail angle and azimuth.

Here the results of 3 primary cases, representing the nominal range of likely flights is shown for the booster and first part of stage 1. I’ve emphasized the paths to help WebPlotDigitizer pull out the data a little more cleanly.

Photocopied chart: Modeled trajectory from L-4S-5, first stage and booster

Figure 2-17, “L-4T-1, L-4S-4, L-4S-5 Specifications and Flight Plan” (pg. 451).

Rendered to:

Format:

Column Value Units
1 Downrange km
2 Altitude km

First Stage Thrust Curve (735-3/3)

The first stage is called a 735 (735 mm diameter) 3/3 (full size) motor. It’s an polyurethane + ammonium perchlorate composite motor.

Photocopied chart: Lambda first stage  thrust curve

Figure 2-1, “L-Engine Static Fire Tests” (pg. 626).

Rendered to:

With units converted to Newtons.

Format:

Column Value Units
1 Time s
2 Sea-level Thrust N

First Stage and Booster Thrust Curve (L-4S-2)

At the moment I can only find a thrust curve from the earlier L-4S-2. It should be largely identical to vehicle 5.

Photocopied chart: first stage and booster thrust curve

Figure 2-a, “L4S-2 Flight Plan” (pg. 679).

Rendered to:

Format:

Column Value Units
1 Time s
2 Sea-level Thrust kg

Second Stage Thrust Curve (735-1/3)

The Second stage is a one third scaled first stage (735 1/3) motor. It’s an polyurethane + ammonium perchlorate composite motor.

This reference had two thrust curves from different test articles. 735 1/3–2 seems closer to the flight version of the motor, but the burn time is too short.

Photocopied chart: Lambda third stage  thrust curve

Figure 3-2, “L-Engine Static Fire Tests” (pg. 628).

Rendered to:

With units converted to Newtons.

Format:

Column Value Units
1 Time s
2 Sea-level Thrust N

Modeled L-4S-5 Trajectory, First 3 Stages Key Figures

Cleaned up a bit from the original for easier digitization.

Photocopied chart: Modeled trajectory from L-4S-5, first 3 stages

Figure 2-2, “L-4T-1, L-4S-4, L-4S-5 Specifications and Flight Plan” (pg. 443).

There are some key numbers highlighted in this chart:

Figure Value Units
Maximum Acceleration (Boost off rail) 70.3 m/s/s
Maximum Dynamic Pressure (MaxQ) 2.44 kg/cm²
Maximum Velocity (First Stage) 1.033 km/s
Minimum Acceleration (Drag induced, First Stage) -14.4 m/s/s
Maximum Acceleration (Second Stage) 79.9 m/s/s
Maximum Velocity (Second Stage) 2.592 km/s
Minimum Acceleration (Second Stage) -4.58 m/s/s
Maximum Acceleration (Third Stage) 114.8 m/s/s
Maximum Velocity (Third Stage) 4.621 km/s

Acceleration rendered to:

Format:

Column Value Units
1 Time s
2 Accelearation m/s/s

Velocity rendered to:

Format:

Column Value Units
1 Time s
2 Velocity km/s

Dynamic Pressure rendered to:

Format:

Column Value Units
1 Time s
2 Dynamic Pressure kg/cm²

Altitude rendered to:

Format:

Column Value Units
1 Time s
2 Altitude km