Hello,
straightforward computation of trajectories and launch angles (elevation) for two bullets with different bc zeroed at same target

Happy 2017  with the recompiled version of BfX!

Happy 2017.
Something went wrong with the forum. Helas. I had to install the backup of january 2016.

I would like to add a speculation,

given the purpose of Pejsa's applications in AA guns he probably has some formulas that work for large elevations too.

the effect of the flat fire approximation is that it simplifies the math.
That is why Pejsa is able to give formula's.
Formula's can speed up the computation quite a lot - and could be programmed in the computers of the early sixties

BfX, due to the flat fire formula's can be used to 15 degrees.
Due to progress in computing, however, PM can be done at an instant, compared to the early sixties
In priciple I can switch BfX to point mass as I already have the technology to do that.
yet I do not want to support applications that go beyond 15 degrees - these have nothing to do with target shooting

Pejsa makes two assumptions to derive his formulas:
1) at a given mach interval the drag function can be approached by a power of the mach number g(m)=a*m^b a and b are real numbers. With the custom drag funtions BfX determines for each interval a and b. Then applies Pejsas method. Numerical integration assumes a constant drag value for a given interval.

2) a flat fire approximation

ad 1) if the  mach interval is small enough Pejsa method, and the software has to sum the effects over many intervals, Pejsa method becomes is equivalent to a numerical integration, probably equalling the accuracy of a  runge kutta integration. BfX has the ability to use a measured drag function, e.g. the ones of lapua. BfX results matches here  the ones of a 3dof model, see the workbooks mman posted.

ad 2) a 3dof is able to go beyond the flat fire approximation

BfX is all about generating tables. However, Pejsa publishes many simple formulas which one can use with an electronic calculator are sufficiently accurate for most purposes. In that case it is much faster than 3dof.

I have updated BfX to support Excel 2015.
Fixed also a bug that might prevented it to support Excel 2013. I cannot test this...

Dear all,
It is getting a mess. Let us collect what we have produced during the years.

can you post your best spreadsheets and a small description here, status 2015?

Some of them I will put them on the download page of www.bfxyz.nl

... nice to have ...
http://www.mylabradar.com/#Home

I think I have missed this request.

On my downloads page you can download a workbook, here a screen copy.
http://www.bfxyz.nl/pics/bcfromvelocitysimplelarge.PNG
It uses velocity measurements at several distances, yet one can apply the same method to a single measurement.
Yet the more measurements (at the same or different disatances) the better the results/

Alternatively you might post your data and I reply with an excel document that does the job.

Years ago I was puzzling with these matters, should altitude be a paremeter?
Yet it is much easier to measure pressure and calculate the density from it. Hence I removed the altitude parameter.

Clearly one can study the sensitivity of a path to atmospheric conditions via BfX_C. Yet, in al those years I have used BfX, I seldom used it. And, if so, mostly for rather academic purposes, to develop an intuition.

Some of the guys on the forum, shooting long range in Australia and Finland, at extreme temperatures, might be devoted users.

Measuring pressure certainly does not require devices that exceed 20 Euro's. For that price I have a electronic weather station over here (not measuring wind speed)

Furthermore, I think that the influence of temperature on the burning of the powder might cause more deviation  than through density fluctuations. However, I am not able to do te calculations. The aformementioned forum users keep their amunition in a  coolbox. In Finland to keep them warm, in Australia to keep them cool 

Thanks for the compliments,

Fine that you managed to install. I certainly wouldn't be able to help you with XP and Office 2003 anymore.

Robert

Currently I am working on an update.

this would ensure that you run the latest MS software in Excel.

BfX_U will get the possibility to do scoring on several targets: e.g. BfX_U("300mI";12;"cm") would return 8, as the eight ring on that target has a radius of 15 cm and the nine ring has  10 cm radius.

From BfX/Forum users I got several requests  to extend BfX, e.g. spin drift.
Some of you manufactured some Excel software for this.
Please mail me your wishes and the corresponding algorithms.

Robert

Quote from: mman on July 01, 2014, 09:12:33 AM

This input field allows you to move group center in relation to target, if that is what you meant?

Yes. I our case, at 300m, people aim with their telecopes at a white sticker 20cm below the electronic target center.

Cool.

would it be possible to include the effects of a  hold over/under (and the horizontal equivalent)? (in combination with cant)