7f1fe76c-2ddd-469d-9d2f-c001994409b6 16 6 9 decimal

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

Orbit experiment

t0 1 time :

t S D S 3 el S 4 el S 1 el - S 1 el (2^S 2 el (2^+ (32 /^/ S 2 el - S 1 el (2^S 2 el (2^+ (32 /^/ 41 mat :

# 1 el initial x position ≡ # 2 el initial y position ≡ # 3 el initial velocity in x diection ≡ # 4 el initial velocity in y direction ≡ 41 line

T 6 π * :

Z 011041 mat :

z 01 0.5 041 mat :

Try these values <= 0.35, 0.2

U Z 02 π * 200 t S D rkfixed : V z 0 T 500 t S D rkfixed : 21 line

Notes: 1. The vector of functions follows the Smath indexing [ORIGIN = 1] 2. Unlike Mathcad, does not take algo style 'D'.

Circle U 2 col U 3 col augment : Ellipse V 2 col V 3 col augment : 21 line

sin U 1 col U 3 col augment : cos U 1 col U 2 col augment : 21 line

Planetary orbits.

Circle Ellipse 0 1 . 14 black 1 5 mat 3 1 sys sin cos Circle 3 1 sys

ε 0.5 :

εllipse U 2 col ε U 3 col (* augment :

εllipse

1 time t0 - 5.2 sec *

5.7

8.4

# # # # # Rkadapt

... represents a stable planetary motion, like Earth around Sun. Though in this case the Earth ellipse is very close to be a circle. "rkfixed" was intended to represent sending Sputnik with not enough initial velocity ... Radovan: launch the Sputnik # 1 so it ends in my garden full of 800 kilos of best Vodka.