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Cat Flynn 2024-04-27 10:49:25 +01:00
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blogs/2024/4/27/interactive-astrodynamics.md
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@ -171,7 +171,7 @@ You think as far as double-precision floating points can take you - which is, wa
The distance doesn't really matter anymore, you realise, since the precision is the same for an ellipse a metre across as it is for an astronomical unit.
The limit now is double-precision time.
Idly bouncing the ball in one hand, you work out what that means.
To be accurate to a single frame, you want be able to represent units of time as short as a frame, or 0.01 seconds.
To be accurate to a single frame, you want to be able to represent units of time as short as a frame, or 0.01 seconds.
There are about ten million seconds in a year, or billion frames: looking good so far, that's only 10 significant figures, there are a few more to go yet.
In a thousand years, the smallest step we can represent is still less than a microsecond, so you keep going.
After a million years, the minimum increment finally creeps up to half a millisecond, which sounds about right.