If you go to our website there's a nice little polar coefficient calculator. You need the polar at any weight (and know what that weight is) Any other desired weight such as the minimum flying weight and it just calculates the coefficients for you. It includes the speeds for min sink and best L/D and the performance at those speeds for a sanity check on the numbers. The 3 coefficient approximation isn't necessarily very good a very low speeds but if you get it right from best L/D to the maximum useful speed (usually about 4 knots sink at that speed) you will be doing well. There's a small text file that explains how to use the tool. It also calculates what I call the D coefficient which is the relative netto offset which is the CIRCLING sink rate of the glider. Around 1.6 times the min sink rate at that weight is good. It does vary with bank angle of course. Some people have been "educating" others with the wrong definition of relative netto which just shows they didn't understand it.

The numbers the program gives are actually for our instruments. Left out is that the A coeff is multiplied by 10^-4, the B coefficient by 10^-2 and B is ALWAYS a negative number.

Also note that this approximation is not based on physics. It is a curve fitting exercise. In reality the polar sink is closer to sink = A*V^3 + (B/V)

Also see the Basic Sailplane instruments article on the website.

So once again the lack of proper theoretical training rears its head. The effect of weight on the polar should just be a normal part of every glider pilot's training.

Congratulations on your win, Adam!

Mike











 At 04:01 PM 10/25/2016, you wrote:
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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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