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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 work while the thrusters are still active. If anybody can help me with this, I would be extremely grateful. The work I have done so far is here: https://www.desmos.com/calculator/ncmd38rosu The Variables folder contains all variables, the No Drag folder contains a complete equation that I have made personally, and the drag folder contains what I have done so far to account for drag. I am more than happy to explain my thought process/reasoning on how I have come up with what is on there so far. Thanks, and I look forward to spending more time with the KSP community.

I am always wondering how aerodynamics is being calculated in KSP? For example, I want to know how does the game calculate the force produced by the wing(s) while flying in a specific speed. Any equations (as detailed as can be) will be appreciated.

So im holding a presentation about orbital mechanics for my exams and i need a tiny bit of outside help. -In the presentations I want to explain about some basic orbital mechanics and rocketry maneuvers. The presentation should be around a 10 minute. -For this presentation I also want to plan a fictional space flight to Europa that includes slingshot maneuvers (because that seemed like a great idea and my inner hipster did not want to go to mars because that seemed to mainstream). I believe the correct route would be from earth -> venus -> earth -> jupiter? -For this im assuming time is irrelevant and I can have any planet be at any point in it's orbit at any time (I will ofcourse disclaim this in the presentation). though I might want to know afterwards how long it may take for the planets to align how my route requires them, so then I can explain how the route isn't feasible (or is) because it will take too long (or won't) before we can launch the rocket. -I don't need to explain all the calculations exactly (I don't think) but the more formulas the happier I make the examinators (or so im told), though at the same time it needs to be understandable and approachable. Turns out it's not as easy as ksp makes it seem I've already figured out some of the basics of how to calculate and illustrate orbital trajectories. Things like the two focal points and one of those foci being the orbital body. i confuse the major/semi-major/minor axis (axi?) a little bit. I'm not completely read up yet on excentricity and the time it takes to orbit a body I do (I think) understand how you can calculate the distance with the velocity and vice versa with Msatalite*Vsatalite*Ddistance = Etot One of my biggest sources so far has been this site: https://www.astronomynotes.com/history/s7.htm In case its usefull here is a quick summary of how I so far think how I want to structure the presentation: part 1: explanation planetary orbits take Earth as example Earth moevs around the sun sometimes its a bit slower or faster and sometimes its a bit further away or close to the sun an explanation how you can illustrate the orbit around the sun with some formulas and focal points Stuk 2: doing orbital maneuvers with rockets launch reaching orbit and stabilising escape velocity orbit around the sun changing course: slingshot maneuver with venus and earth final course corrections ariving at jupiter arrivering at europa circularisation landing i've also learned what N-body physics means and.... i mean it's interesting an all as this lad shows of here: And I'm interested to see what will be up with the two planets in ksp2 that are "locked in a dance of death" since I heard those will get N-body physics (I may remember it wrong though). But honestly it sounds like eldritch science not meant for the human brain to calculate and fully comprehend (and it probably is, indeed, only meant for computers to math it out) and I don't think I need to calculate according to them in this case so some questions i have so far: -when performing a slingshot maneuver you gain speed equal to 2* Vp + Vr but is this different under different entree and escape angles ? does gravity, distance of the periapsis, and speed of the planet influence this? how can i calculate this and why has this not shown up in explanations before? -during interplanetary transfers, should i take into account that the planet you are escaping from will nudge your orbit a bit? (your periapsis (assuming your destination is farther away from the sun than earth) will be a bit higher than that of earth if im correct) -does anyone have any advice where to find calculations I need for the route im planning?