User:Cesrate/The New Future/Notes
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This page includes some mathematics. |
This is still a stub. |
This is the note page of story "The New Future", showing some references and background details. As for some terminologies, you can consult Terminology or http://www.wikipedia.org.
Contents
- 1 Albatross 23a
- 2 Artificial Gravity
- 3 EV-2
- 4 Low Laythe Orbit
- 5 Nightingale Satellite
- 6 Nuclear Thermal Rocket
- 7 Orbit on Vall
- 8 Picker Base
- 9 Pegasus
- 10 "Return to Kerbal Space Program"
- 11 Rockomax 1X
- 12 Temperature of Laythe
- 13 Time Units
- 14 Transfer from Laythe to Vall
- 15 Variable Specific Impulse Magnetoplasma Rocket
Albatross 23a
This mining ship is somewhat like the combined cargo ship in Orbiter 2010 the space flight simulator.
Artificial Gravity
Using centrifugal effect to simulate gravitational force is the easiest and most possible way for future space flights.
EV-2
You could think it as some kind of lunar vehicle.
Low Laythe Orbit
Abbreviated as "LLO". It doesn't have a clear definition yet, but an orbit at 60km above Laythe sea level is surely LLO.
Nightingale Satellite
An ordinary surface scanning probe, now orbiting Vall on a polar orbit.
Nuclear Thermal Rocket
Abbreviated as "NTR". See http://en.wikipedia.org/wiki/Nuclear_Thermal_Rocket for more information.
Orbit on Vall
Orbiting just at 0 m (although impossible) will be 832.47 m/s and take 2264.29 s (0.6290 h, 37.7 min). For any altitude, there's a formular in Tutorial: Basic Orbiting (Math):
Where:
- is the gravity at sea level.
- is the radius of a planet (to sea level).
- is the altitude of the orbit.
Picker Base
Picker Bases are similar to the Mars bases in Constellation Project.
Pegasus
Pegasus is a relatively small manned ships, with parachutes, lander lags and four liquid engines.
"Return to Kerbal Space Program"
The idea of "Return to Kerbal Space Program" was from Showchen on Deeptimes.org.
The Developers of KSP are actually Kerbals trapped on Earth, the navigation system of their ship was broken, so they had to use Earth's computing technology. While, unfortunately personal computers they can find on Earth were quiet awful, so they decided to set up a game-like distributed computation system, using many players' computer to draw the cosmic map.
Rockomax 1X
Rockomax 1X is a fictional liquid fuel engine in this story. It's small and capable for ships with complex jobs because of its relatively high performance.
Temperature of Laythe
The temperature of Laythe is between -40.19℃ (232.96 K) to 6.21℃ (279.36 K). Kerbals are advised to wear thermal clothes in the open air.
Time Units
The "Day", "Month", "Year" and "Century" in this story are Kerbin's units shown as follow, not Earth's.
Earth | Kerbin | |
---|---|---|
Day | 23 h 56 m 4.100 s | 6 h 0 m 0.000 s |
Month | 27 d 7 h 43 min 11.5 s | 1 d 14 h 36 m 24.4 s |
Year | 365.2564 d | 106.5225 d |
Century | 36525.64 d | 10652.25 d |
Transfer from Laythe to Vall
How to estimate time costing of a transfer orbit roughly? Well, here's a simple method, but it could only be used for rough estimation because the actual cases are usually more complex.
Think if we are orbiting Jool at 27,184,000 m (to Jool's barycenter), Laythe's orbit, and after a buring our apoapsis reaches 43,152,000 m (to Jool's barycenter), Vall's orbit, it's easy to know the orbit period because if only the central body isn't changed, will be a constant according to Kepler's Third Law, where is the semi-major axis of orbit and is the orbit period. What's more, according to Newton's law, we have
Where:
- is the standard gravitational parameter, for Jool it's 2.8252800×1014 m3/s2.
So, now we can calculate the semi-major axis by
Where:
- is the distance of apoapsis from barycenter, now is 43,152,000 m.
- is the distance of periapsis from barycenter, now is 27,184,000 m.
And now should be 35,468,000 m.
So, now we can put the numbers in and get .
Next, as we want to know the time of going to there, the time should be half of as the ellipse is axisymmetric. So we get
- .
This time is about 10.8 h. But remember this is just a rough approximation, in real cases your trajectory won't just like a perfect ellipse when transfering between celestial bodies.
Variable Specific Impulse Magnetoplasma Rocket
Abbreviated as "VASIMR". See http://en.wikipedia.org/wiki/Variable_Specific_Impulse_Magnetoplasma_Rocket for more information.