On 19/12/2022 09.14, MRAB wrote:
On 2022-12-19 14:10, Peter J. Holzer wrote:
On 2022-12-19 09:25:17 +1100, Chris Angelico wrote:
On Mon, 19 Dec 2022 at 07:57, Stefan Ram <r...@zedat.fu-berlin.de> wrote:
> G = Decimal( 6.6743015E-11 )
> r = Decimal( 6.371E6 )
> M = Decimal( 5.9722E24 )
What's the point of using Decimal if you start with nothing more than
float accuracy?
Right. He also interpreted the notation "6.67430(15)E-11" wrong. The
digits in parentheses represent the uncertainty in the same number of
last digits. So "6.67430(15)E-11" means "something between 6.67430E-11 -
0.00015E-11 and 6.67430E-11 + 0.00015E-11". The r value has only a
precision of 1 km and I'm not sure how accurate the mass is. Let's just
assume (for the sake of the argument) that these are actually accurate in
all given digits.
ntal misunderstanding of the numbers they are working with.
To be fair, I don't think I've never seen that notation either! I've only ever
seen the form 6.67430E-11 ± 0.00015E-11, which is much clearer.
See, for instance:
<https://www.physics.nist.gov/cgi-bin/cuu/Value?bg>
In particular, the "concise form".
For more detail, see:
<https://en.wikipedia.org/wiki/Uncertainty#Measurements>
--
Michael F. Stemper
Isaiah 58:6-7
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