  # Smidge204

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Sr. Spacecraft Engineer
1. Pricing is based on the amount and type of material, the physical volume occupied in the machine (a large, hollow print will be more expensive than a small, solid print that uses the exact same amount of material), and labor to process the part (e.g. cleaning the unused material from the part). The small stargazer has a bounding box of 84.27 cubic centimeters. Valentina takes up 247.55 cubic centimeters. That's nearly three times the volume and hey, she's about three times the price! =Smidge=
2. Seems very straightforward to me that if your fuel is producing more useful energy, then it's worth more delta-V. Answer me this: Where does that extra useful energy go if not into your craft's kinetic energy, and therefore manifest as extra velocity? Okay. Here's the rocket equation: *points to ve - the exhaust velocity term* The exhaust velocity relative to the rocket is constant. The faster you go, the slower the exhaust velocity will be relative to some inertial frame. The slower the exhaust velocity, the less energy it has. Where does that energy go? Into your rocket! The goal of "get from the surface of Kerbin to Duna's SOI" is made of several specific maneuvers. If it does not apply to specific maneuvers then it's not at all clear how it would apply to a collection of maneuvers. Here's an experiment: Build a ship and HyperEdit it into a a few given, nearly perfectly circular orbits around Tylo and see what the total change in velocity it can do in each situation. The ship will comprise the following components: 0.8000t - Command Pod Mk1 0.5625t - FL-T100 fuel tank (full) 0.5000t - LV-909 Engine Total start mass: 1.8625t Total empty mass: 1.3625t Engine Isp(vac): 370 seconds Calculated dV = 370 * 9.81 * ln(1.8625/1.3625) = 1134.64 m/s The engine will burn for 9.07 seconds at full throttle. We will test the claim that the ship has a fixed delta-V. If true, we would expect that whatever our velocity is to start with, our final velocity will be Vo + 1134.6m/s higher when we're done in every case. If I'm correct, however, we should expect our final velocity to be larger and dependent on our initial orbital velocity. I'm choosing Tylo because I can get very low and fast without worrying about atmosphere, maximizing the range of starting orbit altitudes. In practice it should not matter, but experimentally it should be easier. Edit: Okay, Tylo wasn't as ideal as I thought it would be... SOI is actually rather small and it's hard to keep it straight with such a small radius. Going to the Sun! Solar Orbit 1: 101000 meters at 63124.0 m/s. Final velocity: 64292.0 m/s. Change: 1,168.0 m/s. Solar Orbit 2: 10119100000 meters at 10627.0 m/s. Final Velocity: 11794.7 m/s. Change: 1,167.7 m/s Solar Orbit 3: 1012400000000 meters at 1076.0 m/s. Final velocity: 2243.6 m/s. Change: 1,167.6 m/s Solar Orbit 4: 10200000000000 meters at 339.0 m/s. Final Velocity: 1506.6 m/s. Change: 1,167.6 m/s Trying to go much further out results in a Kraken encounter. The effect, though, is small but clear. =Smidge=
3. Which is one reason why this discussion has managed to hit 15 pages. It's somewhat wrongheaded and easily causes confusion. Exhibit A. If that were true, there would be no consequence of the Oberth effect because the total amount your craft can accelerate would be constant regardless of circumstance. However, your engine is more effective at higher speeds - meaning that if you start at a higher velocity your fuel is worth more delta-V. It's NOT the same. This confusion goes away when you stop thinking of delta-V as a number that MechJeb throws at you as if it were a physical metric of your craft. Delta-V is not an intrinsic property of your craft just as the miles you can drive is not an intrinsic property of a car. It's a potential that is subject to change based on conditions... one of which being how fast you're already going. =Smidge=
4. So does Oberth reduce dV requirements, or does is not have the ability to change dV requirements? This is why I've been harping on "dV is not a physical quantity" - your craft does not "have delta-v" any more than your car "has miles." Your craft has fuel, which it can use to change it's velocity, just as your car has fuel which it can use to travel some distance. The point I've been trying to make - and which we now seem to agree upon based on your more recent post - is that delta-V is analogous to the distance to your destination; Oberth can not decrease your delta-V requirement any more than driving a more fuel efficient car can make your destination closer. What it can do, though, is have the same effect as burning the fuel more efficiently. You still need the same delta-V to get where you're going, but you just need less fuel to get there. =Smidge=
5. Not that it matters, because Oberth manifests itself anyway simply because the game understands and implements basic Newtonian physics. It does not require additional simulation. Force = Mass * Acceleration. Engines provide the force, the ship has mass, and therefore the ship is given an acceleration. Work = Force * Distance. Engine provides force, the ship is moving (at an ever increasing rate.) Work is being done even if the game does not explicitly calculate it. The engine "burns" a certain amount of fuel every second. During that second, the ship will cover some finite distance (S = V*t + 0.5*a* t^2). Therefore, that amount of fuel can be equated to a certain distance traveled, as a function of velocity and acceleration. Since engine force is constant, and fuel use per distance traveled is a function of velocity and acceleration, then the faster you are moving the more distance you travel per second. And since fuel use rate is also constant, then the faster you travel, the farther you travel per unit of fuel consumed. Therefore! Since work is force multiplied by distance, and the faster you are going the larger the distance per unit fuel consumed, then the faster you are going the more work is being done per unit fuel consumed. And you never had to actually calculate energy or work for this to happen - it just happens. Let's glue all of that together: Work = delta-Ek = delta-(0.5 * Mass * Velocity^2) = Force * Distance = Force * (Velocity * Time + 0.5 * Acceleration * Time^2) It's pretty easy to see that the change in kinetic energy (and therefore the change in velocity) is dependent upon your current velocity. That's Oberth writ large and you don't need to do any special simulation to make it work. No, no it does not. You seem to be confusing delta-V as some sort is discrete physical quantity, rather than a convenient way to express specific energy (energy per unit mass) of the craft. If you are in an orbit at R1 and want to be in an orbit at R2, you need to change the specific energy of your craft by some amount. You effectively do that by changing your velocity (since conservation of momentum prohibits you from magically decreasing your mass without consequence) which is expressed "delta-V" - literally "the change in velocity." Oberth can't affect the amount you need to change your specific energy, only how much fuel you need to spend to make it happen. =Smidge=