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true anomaly
04-06-2017, 11:59 PM
Post: #1
true anomaly
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.
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04-07-2017, 12:31 AM (This post was last modified: 04-07-2017 12:33 AM by Geoff Quickfall.)
Post: #2
RE: true anomaly
Nice shortcut,


But I thought marriage did that!
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04-07-2017, 03:25 AM
Post: #3
RE: true anomaly
(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.
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