Escape speed-square is checked against the circular source. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The circular source speed-square is four

The circular speed-square source is 4.

vc2=4v_c^{2}=4
Circular source for escapeThe escape check cites this circular speed-square.circular square sourceescape square sourcedouble square relation

Escape speed-square is twice circular speed-square

Twice 4 gives escape speed-square 8.

24=82\cdot 4=8
Escape is twice circular speed-squareThe factor of two is checked from the same source.circular square sourceescape square sourcedouble square relation