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+--- Thread: true anomaly (/thread-8127.html)
true anomaly - nsg - 04-06-2017 11:59 PM
There is a formula that converts eccentric anomaly to true anomaly and vice versa:
\[\tan(\nu/2)=\sqrt{\frac{1+e}{1-e}}\tan(E/2)\]
I just noticed that \[\sqrt{\frac{1+e}{1-e}}=\exp(\tanh^{-1}(e))\] which could save some keystrokes (or precious program steps) on a calculator which has atanh function.
Also this is a rare opportunity to use that built in function that almost nobody ever uses.
RE: true anomaly - Geoff Quickfall - 04-07-2017 12:31 AM
Nice shortcut,
But I thought marriage did that!
RE: true anomaly - d b - 04-07-2017 03:25 AM
(04-07-2017 12:31 AM)Geoff Quickfall Wrote: But I thought marriage did that!Geoff; She probably always qualified, but I think that marriage granted your wife sainthood.