8ed5d860-10b2-4a41-96ae-0c8bf3a18c1d 15 Martin Kraska 3 5 false true 0 7 decimal

&[DATE] &[TIME] - &[FILENAME]

Rakete2

Payload

P 10 t * :

Empty mass

m 32812 mat t * :

m sum t 40

Mass of fuel

M 1604012 mat t * :

M sum t 200

μ 2 0.4 12 mat t s / * :

Rate of fuel consumption

q m m M + / vectorize : 0.167 0.167 12 mat

Gravitational acceleration

g g.e :

u 5000 m s / * :

Exhaust speed

Δt M μ / vectorize : 80 s * 100 s * 12 mat

t.e Δt sum :

Duration of work

t F u μ 1 el t Δt 1 el < μ 2 el t t.e < 0 cases * :

Thrust

F μ u * : MN 10212 mat

t m P M m + (sum (μ 1 el t * - t Δt 1 el < M 2 el m 2 el + μ 2 el t Δt 1 el - (* - t t.e < 0 cases + :

Total mass

Numerical solution

Res t h t.e m s kg 1 3 mat 1 1 1 1 3 mat : 100 2 1 line rkfixed :

t m t h'' g + (* t F ≡

0 h 0 ≡

0 h' 0 ≡

V Res 3 col m s / * :

x in 1 x / :

T Res 1 col s * :

H Res 2 col m * :

Altitude

Speed

Acceleration F/m

T H km in * augment T V km s / in * augment 1 1 sys x s * F x s * m / g.e in *

H max km 755

V max km s / 9.12

t.e 180 s *

x s * m t in * x s * F MN in * 2 1 sys

t m

t F