Mars Lander - Puzzle discussion

long long ago, in the topic far far away, @Florent was looking for some

here we go:

  1. liquid oxygene/kerosene fuel pair has flow speed from engine like 3510 m/s, so 1 ton (approximately) landing crane/platform with rover will have acceleration 3.51 m/(s^2) for every kilo of burned propellant/oxidiser mixture, with max acceleration of 14,04 m/(s^2), what is enough for everything i will say further, but can be extended

  2. we landed 100 kilometres away from desired landing site - how much fuel will it take to take off, accelerate in desired direction, slow down horizontal speed near target and land with minimal vertical speed? on such small distance we can assume the surface is flat

  3. we landed 1000 kilometers away - we can no longer assume that surface is flat on such scale, we need to take curvature into account

  4. we landed on other side of planet - we need now not just take off and land, we need to achieve orbital speed, wait until we near desired place, and only then land (including orbit pertrubations from mascons)

  5. we need to go home with gathered samples! why not? it is as easy as:

  • going to orbit (part 4)
  • reaching L1 point of Sun-Mars system
  • accelerating towards L2 point of Sun-Earth system
  • bracking there
  • going to Earth orbit
  • landing on Earth (with parachutes, inflatable bumpers, aerodynamical surfaces whatever)
  1. how did we get to Mars? all the part 5 in reverse

  2. really, why the acceleration is so low? is this task’s lander fuelled with wet firewood?

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