true anomaly

04062017, 11:59 PM
Post: #1




true anomaly
There is a formula that converts eccentric anomaly to true anomaly and vice versa:
\[\tan(\nu/2)=\sqrt{\frac{1+e}{1e}}\tan(E/2)\] I just noticed that \[\sqrt{\frac{1+e}{1e}}=\exp(\tanh^{1}(e))\] 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. 

04072017, 12:31 AM
(This post was last modified: 04072017 12:33 AM by Geoff Quickfall.)
Post: #2




RE: true anomaly
Nice shortcut,
But I thought marriage did that! 

04072017, 03:25 AM
Post: #3




RE: true anomaly  
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