yourfriend499

The relationship between the ratio of mass wet and mass dry which gives delta-v so the most delta-v for the least amount of fuel

So I had always known how to find how much delta-v a spacecraft had but what about efficiency. The efficiency is the ratio of mass wet to delta-v relative to mass dry you can graph the relationship with v=isp*ln(1+w/d) Final I took calculus and I've written an equation so you can find the best amount of fuel based on of payload(anything that is not fuel tanks) and the added weight of the fuel tank shells and isp also you can change the efficiency the payload isp, isp is p, and efficiency is e first, divide e by 10000 side note the value is just representative how close you are the curve the farther from 100 the less efficient however it is necessary to do so often second multiple I by 9.81 (from the game given amount) use the formula below and that is the amount of fuel you should use i/(3√((3/4)^2-p/2))

So there are equations everywhere to show how to get the amount of delta-v your rocket has but what if you want to find out how much you need. Known variables: Isp (use the one in game), Delta-v , and Payload (this includes everything that not the fuel tank even the engine) e^(v/[Isp*9.81]) = A (8[p{a}-p])/(9-A)=Wet mass (how much fuel not including the tank)