The relief version could never make one. It only ever SUBTRACTED from
gravity, so a lander a little too slow sank for ever and one a little
too fast rose for ever - nothing in it could turn a fall around, because
nothing in it ever pushed up. There was no periapse to have.
Gravity minus the swing outwards has a sign change in it, and that is
the whole mechanic. Below orbital speed the pull wins and the lander
falls; above it the swing wins and the lander climbs; at 64 sixteenths
they cancel and it circles. Falling buys sideways speed and climbing
spends it, so a fall carries the lander past orbital and turns into a
climb, and the climb pays it back and turns into a fall.
The trade is the quarter square multiply, because the rate has to be
the PRODUCT of the two speeds. Set by the vertical speed alone it drained
a climb to nothing, and any minimum to stop that became a trap the climb
spent its way into - measured freezing at 23 with a gate of 24 and at 3
with a gate of 4. With the product in it there is no gate: as the
sideways speed goes to nothing the trade stops by itself.
Half the product rather than a quarter or the high half. The high half
alone is nought below a product of 256, which is a dead patch exactly
where the turn begins, and a quarter still ran the lander into the roof
before it came round - the whole sky is about 145 pixels.
Measured, placed at 80 sideways and left alone: apoapse at -1024 with 59
sideways, periapse at -124 with 71, and round again at 165, 241, 299 and
369 ticks with no sign of decay. A period of about 22 seconds.
The ceiling also spends one sideways when it wipes a climb. Without that
it was a trap with no way out: the pin wipes the climb, so the trade sees
neither fall nor climb and never touches the speed that is pushing the
lander up. Measured pinned at the top with 117 sideways, unmoving, for
the whole of a four minute flight.
Tests/makedisks.sh needed the library path, since Lander now includes
math.asm, and the app went from 2,924 bytes to 4,651 - mostly the 1,022
byte table - which is what the listing expectations move for.
Anachronaut
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