Let’s do some calculations. Here are some of the ways of moving in or towards space.
Exiting the planet | Moving between asteroids | Moving between planets | |
---|---|---|---|
Geysers | 1 | ||
Rockets | 2 | 3 | 6 |
Solar Sails | 4 | 7 | |
Jumping | 5 |
Exiting the planet is the most important part. If it can’t be done, there is no reason to discuss the other ones.[1]
- Geysers/plumes/fumaroles
There are two forces that act on a creature standing on a geyser, drag and gravity. Let’s assume that the speed of the plumes is constant for some length and the creature accelerates until it reaches a terminal velocity. And let’s say that the creature is 50 kilograms and it is like a spider, it can synthesize webs and knit parachutes for itself. Could it, if it lived in Enceladus, exit the planet?
terminal velocity
- Mass of the creature: 50 kg
- Gravity in Enceladus: 0.113 m/s^2
- Density of the plumes: 5.5 × 10^-11 kg/m^3
- Surface area for a large parachute: 45 m^2
- Typical drag coefficient for a parachute: 1.75
- Maximum speed of Enceladus’s plumes: 500 m/s
- Escape velocity of Enceladus: 240 m/s
Putting the numbers in, the value we get for the terminal velocity is 51078 meters per second.
That velocity is with respect to the plumes. To get the speed with respect the ground, we subtract the speed of falling(51078m/s) from the speed of the plumes(500m/s) and get (-50578m/s).
The creature can’t be lifted from the ground.
The smallest value in that formula was the density of the plumes. Barely anything is exiting the geysers. Enceladus also doesn’t have an atmosphere which can support life. If Enceladus had the same atmosphere as Saturn’s other moon Titan, and its plumes were as dense as that atmosphere, could it then be used to move into space?
- Density of Titan’s atmosphere: 1880kg/m^3
Terminal velocity now becomes 0.0087 m/s. The creature is sent with a speed of 499,9913m/s and exits the planet with 259,9913. So it is possible.
What is the density of an atmosphere that can have liquid water?
ideal gas law for density
- A gas that can be high quantities in an atmosphere: Nitrogen(molar mass 28)
- Smallest temperature for liquid water: 273 kelvin
- Smallest pressure for liquid water: 0.00604 atm
- R: 0,08205
It is 7.5 x 10^-3
density comparison
- The density of Enceladus’s plumes: 5.5 × 10^-11 kg/m^3
- The smallest density needed in Enceladus’s plumes to go to space[3]: 2.5 × 10^-6 kg/m^3
- Smallest atmosphere density for liquid water: 7.5 x 10^-3 kg/m^3
- The density of the highest geyser(91 meter) on earth[4]: 6,4 × 10^-1 kg/m3
- Density of Titan’s atmosphere: 1,9 x 10^3 kg/m^3
If the plumes are gas, they would have the same pressure as the atmosphere, and a similar density. The smallest density in the atmosphere supporting liquid water is three orders of magnitude higher than the smallest density needed for carrying the creatures. So if there is life and geysers going to space, those geysers can lift the creatures.
But can there be such geysers in a planet with an atmosphere?
In order to be able to reach space, geysers should move faster than a planets escape velocity. Enceladus has a very small escape velocity (200m/s). Europa’s escape velocity is way higher(2000m/s) and it may also have geysers that reach space(2). So let’s take 2000m/s as the maximum speed of a geyser. But there is also the issue that geysers are slowed down if they are in an atmosphere.
If we say that a geyser is slowed down by a factor of 2.5 in 1 atm, 2000m/s becomes 800m/s. That is the maximum escape velocity a planet can have for geyser users to be able to become space farers.
But can such a planet exist? I tried that in universe sandbox.
I placed earth 1 au away from the sun. It was 99.8% similar to Earth, and had a 97.7% likelihood of having lawk life. It was losing 10^-41 grams of atmosphere per second.
Then I lowered its mass to 0.000403 earth masses to make the escape velocity 800m/s and it the mass of its atmosphere to 0.0981 earth atmospheres to make the surface pressure 1 atm. The planet still had liquid water, an average temperature of 13 degrees Celsius, a maximum temperature of 29 degrees and minimum temperature of -273 degrees(despite an atmosphere?). The gravity was 0.0651 g’s. The similarity to earth was 52% and the likelihood of having lawk life was 0%[5]
It was now losing 113 kilograms of atmosphere per second.
I tried increasing the magnetic field a lot or removing it completely, but it stayed between 105 and 115 kilograms per second.
The total atmosphere is 5 x 10^17 kilograms, by losing 100 kilograms a second, it would take 5 x 10^15 seconds or 158.5 million years to completely lose its atmosphere, which is a very short time.
I thought Mars lost its atmosphere because it didn’t have magnetic field, if it was inside the magnetic field of a gas giant, it could have kept its atmosphere. But turns out the magnetic field doesn’t have such a large effect. 800 m/s is a very low escape velocity, the gas atoms can exit the planet just with their kinetic energy. Geysers aren’t a viable way to exit a planet. Either there needs to be geysers faster than the ones in Europa, or somehow they need to not slow down in the atmosphere.
The only remaining option is rockets launched from a high gravity planet. So I’ll talk about that the next time. [6]