Okay, I did it. Lego Planet is 20 (edit: actually 5) times less massive than earth. Let's presume Lego Planet has the same density as Earth, so that the math i

Okay, I did it. Lego Planet is 20 (edit: actually 5) times less massive than earth. Let's presume Lego Planet has the same density as Earth, so that the math is easy and I can make fewer assumptions. If we assume a planet with the same density, then our radius is just a function of the mass. Then all we need to do is pick a mass that lets us reach escape velocity- I presume a Deep Space Rocket wants to fully escape the planet, after all. V_escape = ((2 * G * M) / R)^(1/2). G is constant, M for earth is 5.97E24 kg, R is 6.38E6 m. Doing some math, if Lego Planet has a mass of 3E23 kg (20 times smaller than earth), then the radius is 2.35E6 m (a little bit bigger than 1/3 Earth's radius), and the escape velocity is 4120 m/s. The author calculated this rocket would have 4246 m/s of delta-V, so that leaves this rocket 125 m/s of Delta-V to maneuver where it needs to go. Edit later: Okay, people have suggested Lego Planet is made of Lego (sensible). So let's fix these numbers. According to this[0] Lego bricks with optimal packing have a density 0.64 g/cm^3, which is 640 kg/m^3 - FAR less dense than Earth, which will have consequences. If we then guessed that Lego Planet's mass is 1.25E+24 kg, 1/5th of Earth's mass, the the escape velocity is 4213.2 m/s which is close to this Rocket's delta-V. This also means that Lego Planet is 47% larger than Earth, by radius, and has more than double the surface area (which is based on radius squared). No wonder there's so many different Lego sets! [0]https://www.brickodyssey.com/what-is-the-density-of-lego/ https://www.brickodyssey.com/what-is-the-density-of-lego/