I’ve also seen it calculated for speeds and sink rates directly as:

factor = sqrt(actual weight / polar weight)  or  factor = sqrt(wing loading / 
polar wing loading)    - they give the same result

Then multiply BOTH sink rate and speed by factor




> On 25 Oct 2016, at 17:29 , Matthew Scutter <[email protected]> wrote:
> 
>   const auto loading_factor = sqrt(GetTotalMass() / reference_mass);
>   const auto inv_bugs = 1. / bugs;
> 
>   polar.a = inv_bugs * ideal_polar.a / loading_factor;
>   polar.b = inv_bugs * ideal_polar.b;
>   polar.c = inv_bugs * ideal_polar.c * loading_factor;
> 
> Stolen from XCSoar source code. Assumes the usual quadratic 3-number polar as 
> a, b and c. 
> 
> So you square root of difference between the masses to get the loading 
> factor, divide a by the loading factor, leave b the same, multiple c by the 
> loading factor.
> 
> Doesn't account for the change in reynolds numbers though (the polar is 
> probably slightly better than this accounts for)
> 
> On Tue, Oct 25, 2016 at 5:01 PM, Adam Woolley <[email protected] 
> <mailto:[email protected]>> wrote:
> G’day All,
> 
>  
> 
> Just wondering whether anyone knows the formula for converting a baseline 
> empty polar curve (speeds/sink rates) to a ballasted polar curve? I’ve read 
> it somewhere in the past, but cant find it easily now.
> 
>  
> 
>  
> 
> Cheers,
> 
> WPP
> 
> 
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