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  1. This is the new thread about Kerbulator. Here is the old thread, where the plugin was called Kalculator. Turned out that name was already taken. One of the big joys of Kerbal Space Program is that game progress is not based on experience points, or character level, but based on your own knowledge about orbital mechanics. Maybe this is why I don't like using MechJeb much, its free progress in the game. Inspired by Scott Manley's videos about 'orbital mechanics on paper', I spend an afternoon thoroughly enjoying myself deriving various formulae. Oh, how much fun the creators of MechJeb
  2. Hey there, I am new at asking questions so please be gentle. I am a PS4 KSPEE player and I am trying to perfect my landing on the launch pad, now with that being said it is going to require allot of math and I just don't know the formula, I was thinking about how it should include the TWR, the weight of the object being landed, how quick the fuel is being drained, it is kind of like the rocket equation but with added steps and it will lead to a different outcome, if there is someone who could make a calculator I know that not only I will appreciate it but so will the KSPEE players and the stoc
  3. Hello, this is my inaugural post on the KSP forum. To learn some more physics and calculus, I'm trying to create an analytical equation for the path of a solid fuel model rocket fired vertically. I first made an equation assuming no atmosphere and no orbital mechanics, which I am satisfied with. I'm currently making an equation that accounts for drag, and assumes there is no change in atmospheric density and no wind. The equation I am using is from Wikipedia, specifically vertical motion upward and vertical motion downward. I am not sure how to adapt this equation to w
  4. Hi everyone. I'm not an engineer, so maybe this is common knowledge already, but during TCA development I've encountered a problem with numerical instability of Vector3[d].Angle methods at small angles. Both methods use the same straightforward implementation: public static double Angle(Vector3d from, Vector3d to) { return Math.Acos(Math.Min(Math.Max(Vector3d.Dot(from.normalized, to.normalized), -1), 1)) * 57.2957795130823; } Which is fine, unless rounding errors start producing cosine values > 1 that get clamped, which results in angle "measurements" like this: *this
  5. Hello guys. I am an amateur Kerbonaut and I want to start to calculate dV by hand since it is so nice and fancy to do. When I looked up, I came across this formula: dV = Isp * gravity * ln(m0 - mf) Everything is fine, but when I utilize this equation and check the results with VAB, I get HUGE differences for other planets. Currently I am trying to visit Eve and comeback. My lander should have God knows how much dV. So, for a stage (mid), I put: Rockomax 32 (x1) FL-A215(x1) FL-A151S(x1) Skipper The upper payload is 4.090t. Therefore, according to the equation:
  6. I'm trying to write a python script (using the kRPC mod) to do a suicide burn. However, so far I always reach a velocity of 0 a few hundred meters above the ground and then proceed to plummet to my death. My assumption is that the problem is a mathematical one, as the code is fairly simple. So I'd be very grateful if someone could check my math. Alternatively, if anyone has a different solution for what I'm trying to accomplish, I'd be happy to hear that to. For simplicity's sake I assume that my spacecraft is always pointing straight up and falling straight down. I also assume that there
  7. How do I calculate the surface longitude where I start my transfer burn to geostationary altitude, given the surface longitude where I want my satellite to end up, my current altitude and orbital period, and my current longitude? I'm trying to write a kOS program that puts a satellite into a precise-ish slot in geostationary orbit. My probe is powered by a single ion engine and has a wet mass of 1.726 tonnes.
  8. Just a thread to discuss math things, I guess I havn't seen one so here.
  9. A while ago I had a question that went a little like this: "Planet Kerbin has a radius of r from its center and gravity of G. Two identical rockets launch from the equator at opposite sides, and start accelerating along the rotation of the planet with the velocity of V. At what time after they finished acceleration did they reach maximum distance from each other, and what was the distance?" It also said in its prefix that "people attempting this question might want to find out a little about Kepler's laws." I think I got the answer, but I am not sure if it is right, as I didn't
  10. Hi there, I'm an aerodynamics student and am looking to do the same kind of medium-fidelity aero modelling that's done with Ferram Aerospace - the calculation of aerodynamic coefficients, stability derivatives, and the like for some arbitrary body, and as functions of Mach number, AoA, etc. Does anyone know if the developers compiled a bibliography/list of references/papers for the algorithms they implemented? If not, is there any information on how their algorithms work, or could anyone recommend some papers I can look at to get started? (I'm familiar with basic flight dynamics theory already
  11. Hi, I've made a quadcopter and found I cannot control it. If I attach rotors to yaw/pitch/roll and thrust I am able control thrust but yaw/pitch/roll override each other so only one is effective. Thrust works because it's incremental while yaw/pitch/roll are absolute. At first I wanted do demand multiple overlapping controls to work additively (and they should) but then I realized that won't be enough. The collective throttle must lift the craft while axes control should only modify torque to control its movement and may work much weaker. So the torque for single engine could be calculate
  12. Is there an equation to calculate the heading I need to fly to reach an orbit of a certain inclination, based of the latitude of the launch site?
  13. Before Reading I'd recommend that you'd watch Bradley Whistance's video on his stock prop speed test. The method he outlines is not relevant to the actual math work, and simply affects the values I will be plugging in. https://www.youtube.com/watch?v=J7oc1FLnWlY&t=438s I will only discuss the resulting data in this thread to keep things simple, if you have specific questions about the math, let me know. With that out of the way, let me preface this discussion. The dominant method of powering stock props is by using RTGs, which makes sense. They continuously generate powe
  14. Hello! Firstly, I know questions like this one have already been made both in and out of the forums before, yet every thread I found and read do not fix my problem or give me an idea of what I'm doing wrong. Also, sorry if this ends up a bit too long and technical, I want to try and make it as clear and detailed as possible, especially when explaining the math I did, so it doesn't confuse or give the reader a headache. So... I finally decided to play KSP [more] seriously, disabling "revert flight" and trying to calculate the rocket performance and everything else before launch
  15. I have Asperger even if I was kid I was suspected (wrongly) that I have ADHD I could not learn the multiplication table, which was required in my country, Poland I can not do it until today, and I am almost 33 years old I often flunk math I could make calculations, but only with the help of a calculator. I remember once from boredom I started playing with a calculator and started to add numbers to each other. The teacher saw it and asked what I was doing? I apologized to him, and I said I was just having fun. This teacher said that I was just doing the Fibonacci sequence, do not even know
  16. What do you think about using calculators in math classes? https://answers.yahoo.com/question/index?qid=20181217235050AACyVCW What do you think about using calculators in math classes? During my mother's time, and most of my school education, students were not allowed to use them Hi, I'm from Poland, my mother who died in 2015, she learned in the so-called (tehnikum) technical school, some kind of specialized high school, that was less material in one matter and more in other technical stuff a bit more college like In my mother's case it was a technical electro
  17. In my latest career mode game I am planning to start a Laythe colony. I am using MKS and USI Life Support, with the lowest levels of Interstellar Extended's power and propulsion tech unlocked. In short, no transit times to Jool that would be less than two years or so, at least while carrying a reasonable (30+) number of passengers per trip. I plan to use the Cycler to only carry colonists, building more as time goes on to eventually have a voyage every year or so. Cargo deliveries can be done with traditional Hohmann Transfers. Unfortunately my math and coding skills are not up to the tas
  18. When calculating Delta-V manually the equation would be DeltaV=ln(m_start/end)xISPx9.8m/s^2 Now my question is when traveling to the moon would you change the 9.8 to calculate delta v? Im just confused as 9.8m/s^s is acceleration of gravity on earth. Thanks, Jonda
  19. I have an equation that shows the target speed you need to reach to have a successful hohmann transfer: V = 1878968 * sqrt(2/RInitial-2/(RLowest + RHighest)) It's always worked in the past, but I recently tried to use it to find the target velocity for a transfer around the sun. When I plug in the numbers, I get a ridiculous answer of 16 m/s, and I don't know why. The weird thing is, I tried looking this formula up on Google to see if I missed something, and I cannot find it anywhere. Has anyone else used this formula?
  20. WARNING, Math ahead. So I was trying to find an intuitive way of approximating the reverse rocket equation by hand (without havinng to developp an exponential) : M = m.exp(DV/ve) And came up with that : (1) M1 = m.(DV/ve) As the mass of fuel required to propel the playload mass up by a desired DV, with an exhaust velocity of ve (conservation of momentum). (2) Mn+1 = (Mn/2).(DV/ve) As the mass of fuel required to carry the mass of fuel Mn while accelerating (by summing over a triangle, one can see you only need to propel up to Dv/2 on average). Edit : her
  21. I recently desired to take a small manned craft into polar orbit, so on an unrelated mission I hauled up a pod stuck to 800 fuel and a tiny engine and hurled it into the void. But going from equatorial LKO to polar LKO is not best done from LKO. If I did a single maneuver the delta-V would have come close to 3200! I know that with large inclination changes it can be cheaper to raise your apoapsis, do the inclination change, and then re-circularize, and that was certainly the case here, but is there any easy method to determine whether this is the case? Or more importantly in the example, i
  22. I have a hypothesis about the rocket equation, hoping someone can help me either disprove with counter example, or give an informal proof that it is always correct: For every two stage rocket with total mass M, and a payload weight of P, if the bottom stage engine (called E1) with ISP of I1 and the top stage (called E2) has an ISP of I2, and also I1 < I2, then: There is never a two-stage rocket design of payload P and total mass M where E1 is placed on the top and E2 is placed on the bottom that has more dV than the best two-stage design which has E1 on the bottom, and E2 on the
  23. Hey there, I wanted to work on my own designer for optimal stages. Anybody know of the algorithm to calculate optimum fuel sizes for a given payload, engine weight, and Isp? I'm aware of Optimal Rocket Calculator, which doesn't handle NERV or DAWN engines. It also doesn't handle drop tanks. I think Optimal Rocket Calculator also uses brute force.
  24. Hello! I’ve been playing KSP for a while now and have become quite confident in my abilities. Although, I’m still having trouble with gravity assists. Is there an equation of some sort that I can use to calculate my speed after the slingshot/brake? Ex. Before assist craft is going x m/s, after the assist the craft is going y m/s I also would like to know if there is an equation I can use that will tell me the orbital velocity at a certain altitude above a body. Ex. At h meters with d degrees of inclination, the craft must be going x m/s to maintain a circular orbit If you h
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