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Linear Interpolation

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User 243
(@user243)
Eminent Member Customer
Joined: 17 hours ago
Posts: 14
Topic starter  

Im just trying to interpret this old chestnut.

Would it be fair to say that you would use HH for the time of issue and continue utilising this for the next 1.5 hours, then use the values for HH+3 for the next 3 hours etc? Would this be interpolation or am i missing something?

A crude drawing attached!

Thanks

Andrew



   
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User 66
(@user66)
Noble Member Customer
Joined: 17 hours ago
Posts: 1168
 

Hi Andrew,

Linear interpretation means to spread the difference between the two values evenly over the three hours between the spot times in the TAF. Having said that you of course simply round to the nearest whole value ([sup]o[/sup]C or hPa)

For example, if you have 3 degrees of temperature difference between the values for HH and HH+3, you can assume the temperature will change by about 1 degree per hour.

If there's only 2 degrees of difference, you can assume that up until half way between HH and HH+3 the HH value will apply and after that the HH+3 value will be applicable.

The regs recently changed with respect to this. It used to be the value given applied to +/- 90 minutes either side of the time in exactly the way you described. Now though the system has gone to the more logical approach of simply spreading the expected change over the whole time period.

Here's a more concrete example from a fictitious TAF for 1820/1908:

TAF XXXXX ....... T 18 18 16 13 Q 1012 1011 1008 1004

You will NOT work out decimal values in the cockpit and you probably won't need to in the exam either. In practice you can eyeball the values quite easily. In my opinion it is easier and more realistic than the previous system.

This table gives you some examples of linear interpolation. Figures in bold are taken directly from the TAF.

[table]
[tr]
[td][b][size=4][color=#ffffff]___[/color][u]Time(code)[/u][color=#ffffff]___[/color][/size][/b][/td]
[td][b][size=4][u]Temperature[/u][/size][/b][/td]
[td][b][size=4][u]QNH[/u][/size][/b][/td]
[/tr]
[tr]
[td][b][color=#880000][center]2000 (HH) [/center][/color][/b][/td]
[td][b][color=#880000]18[sup]o[/sup]C[/color][/b][/td]
[td][b][color=#880000]1012[/color][/b][/td]
[/tr]
[tr]
[td][center]2145[/center][/td]
[td]18[sup]o[/sup]C[/td]
[td]1011 (QNH drops by 1hPa over 3 hours and 2145 is more than half way to the next spot value)[/td]
[/tr]
[tr]
[td][b][color=#880000][center]2300 (HH+3)[/center][/color][/b][/td]
[td][b][color=#880000]18[sup]o[/sup]C[/color][/b][/td]
[td][b][color=#880000]1011[/color][/b][/td]
[/tr]
[tr]
[td][center]0030[/center][/td]
[td]17[sup]o[/sup]C (Drops 2[sup]o[/sup]C over 3 hours i.e. 1[sup]o[/sup]C per 1.5 hours. So by 0030, the temperature will have dropped 1 degree)[/td]
[td]1010 (QNH dropping by 1hPa/hr between 2300 and 0200)[/td]
[/tr]
[tr]
[td][b][color=#880000][center]0200 (HH+6)[/center][/color][/b][/td]
[td][b][color=#880000]16[sup]o[/sup]C[/color][/b][/td]
[td][b][color=#880000]1008[/color][/b][/td]
[/tr]
[tr]
[td][center]0300[/center][/td]
[td]15[sup]o[/sup]C (temperature dropping about 1[sup]o[/sup]/hr between 0200 and 0500)[/td]
[td]1007 (QNH dropping by 1.25 hPa/hr between 0200 and 0500. Answer rounded 1007)[/td]
[/tr]
[tr]
[td][center]0415[/center][/td]
[td]14[sup]o[/sup]C (temperature dropping about 1[sup]o[/sup]/hr. Forecast temperature will change to 13[sup]o[/sup]C from 0430)[/td]
[td]1004 (QNH dropping by 1.25 hPa/hr between 0200 and 0500. QNH will be closer to 1004)[/td]
[/tr]
[tr]
[td][b][color=#880000][center]0500 (HH+9)[/center][/color][/b][/td]
[td][b][color=#880000]13[sup]o[/sup]C[/color][/b][/td]
[td][b][color=#880000]1004[/color][/b][/td]
[/tr]
[/table]
Now my head hurts :blink:

Cheers,

Rich



   
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User 243
(@user243)
Eminent Member Customer
Joined: 17 hours ago
Posts: 14
Topic starter  

Thank Rich,

I was getting little confused on that one, and have my exam tomorrow so thought i better get some clarification.

I believe a question in the Exam Prep modules still uses the old method of 90min either side as you explained.

Thanks again for your help!!!

Andrew



   
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User 243
(@user243)
Eminent Member Customer
Joined: 17 hours ago
Posts: 14
Topic starter  

Thank Rich,

I was getting little confused on that one, and have my exam tomorrow so thought i better get some clarification.

I believe a question in the Exam Prep modules still uses the old method of 90min either side as you explained.

Thanks again for your help on both questions!!!! 🙂

Andrew



   
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