Calculate performance, mass & balance for Tecnam P2006T
Use this calculator with caution at your own risk. We strive to ensure everything is correct as long as you're within AFM parameters. It is always your responsibility to check and confirm the numbers and calculations from this website.
Credit: NASA Photo/Carla Thomas.
This site contains the following calculations
Mass & Balance; using the graph from the AFM
Performance tab:
Takeoff groundroll and distance, including corrections and safety factor of 1.25
Landing groundroll and distance, including correction and safety factor of 1.43
OEI Service and Absolute ceiling, rounded down to nearest 1ft
OEI and ME climb performance (V-speed, fpm, gradient and angle) using either the MSA, or a pressure altitude 2/3rds of the distance between the elevation and the cruise altitude (both corrected for pressure)
Results gives detailed information about the interpolation, including all meta data.
Methods of calculation
Takeoff and landing groundroll and distance interpolation
First, the distances are interpolated between altitudes, for each temperature and weight:
$$value_{actual} = {value_{high} - value_{low} \over altitude_{high} - altitude_{low}} \cdot (altitude_{actual} - altitude_{low})+value_{low}$$
Then, the results of these formulas are interpolated between temperatures, for each weight:
$$value_{actual} = {value_{hot} - value_{cold} \over temp_{hot} - temp_{cold}} \cdot (temp_{actual} - temp_{cold})+value_{cold}$$
Finally, the result of those formulas are interpolated between weights:
$$value_{actual} = {value_{heavy} - value_{light} \over mass_{heavy} - mass_{light}} \cdot (mass_{actual} - mass_{light})+value_{light}$$
Temperature correction to minimum altitude
*At the time of this update, GreyBird has not published a standard procedure for temperature corrections, so these calculations are provided for reference only
The following formula is used to calculae the correction to be applied to the DA/MDA:
$$correction = {-ISA deviaton \over \tfrac{1.98^\circ C}{1000ft}} \cdot \ln\left(1+{\tfrac{1.98^\circ C}{1000ft} \cdot DH/MDH \over 273 ^\circ _{C \rightarrow K} + 15^\circ C + \tfrac{1.98^\circ C}{1000ft} \cdot Elevation }\right)$$
We use this formula, because it is the most versatile and accurate formula referenced by ICAO PANS-OPS, Volume III, Section2, Chapter 4, 4.3, “Temperature correction”, which is the document referenced in doc8168
Another forumla, which is referenced in ICAO PANS-OPS, Volume III, Section2, Chapter 4, 4.3, “Temperature correction”, but not used on this site is:
$$correction = DH/MDH \cdot \left( { -ISA deviation \over Temp_{SeaLevel_{^\circ K}} - 0.5 \cdot \tfrac{1.98^\circ C}{1000ft} \cdot DA/MDA } \right)$$
This formula is (according to ICAO) accurate to within 5% of the actual value, for pressure-elevations up to 10.000ft and for DH/MDH's up to 5.000ft, which is also the range of heights where it is approved for use
This formula, when applied to an aerodrome at sea level, is also the basis for ICAO PANS-OPS, Volume III, Section2, Chapter 4, table 2-4-1b, where the values have been rounded up to the nearest 10ft. When within limits, this formula yeilds a slightly larger correction than the first one.
It is also worth considering that for temperatures above -15C it is also permissible (and much simpler) to add 4% per 10 degrees below ISA to the DH/MDH, regardless of aerodrome elevation, as shown here:
$$correction = DH/MDH \cdot 4 \% \cdot \left( {-ISAdeviation \over 10^\circ C} \right)$$
Rate of Climb Calculations
First, the climbrates are interpolated between altitudes, for each temperature and weight:
$$value_{actual} = {value_{low} - value_{high} \over altitude_{high} - altitude_{low}} \cdot (altitude_{high} - altitude_{actual})+value_{high}$$
Then, the results of these formulas are interpolated between temperatures, for each weight:
$$value_{actual} = {value_{cold} - value_{hot} \over temp_{hot} - temp_{cold}} \cdot (temp_{hot} - temp_{actual})+value_{hot}$$
Finally, the result of those formulas are interpolated between weights:
$$value_{actual} = {value_{light} - value_{heavy} \over mass_{heavy} - mass_{light}} \cdot (mass_{heavy} - mass_{actual})+value_{heavy}$$
Gradients
Gradients are calculated with the formula:
$$Gradient = {Rate Of Climb \over ClimbSpeed \cdot 6076{ft \over nm} / 60{min \over hour}}$$
Fuel Consumption, Powersetting and Cruise TAS
First, the values are interpolated between manifold pressures, for each temperature, RPM and altitude:
$$value_{actual} = {value_{lowMAP} - value_{highMAP} \over MAP_{high} - MAP_{low}} \cdot (MAP_{actual} - MAP_{low})+value_{lowMAP}$$
Then, the results from above are interpolated between temperatures, for each RPM and altitude:
$$value_{actual} = {value_{cold} - value_{warm} \over temp_{warm} - temp_{cold}} \cdot (temp_{warm} - temp_{actual})+value_{warm}$$
Then, the results from that are interpolated between RPM's for each altitude:
$$value_{actual} = {value_{fast} - value_{slow} \over RPM_{fast} - RPM_{slow}} \cdot (RPM_{actual} - RPM_{slow}) + value_{slow}$$
Finally, the results from that are interpolated between altitudes:
$$value_{actual} = {value_{high} - value_{low} \over alt_{high} - alt_{low}} \cdot (alt_{actual} - alt_{low}) + value_{low}$$
Correction table valid for elevation , altitudes AMSL
Alt
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Notes in using the provided table:
The values has been calculated by use of the most precise (and complicated) formula available in ICAO doc 8168, Vol III, Chapter 4 and it is not expected to be identical to Table 2-4-1b
According to ICAO doc8168 vol III chapter 4, it is appropriate to disregard any correction less than 20% of the Minimum Obstacle Clearance (MOC)*
At the time of this update, GreyBird has not published a standard procedure for temperature corrections, so these calculations are provided for reference only
The altitudes listed are AMSL, and not AGL, like in Table 2-4-1b
The values are valid for any QNH, but only for the selected elevation and listed temperatures
*e.g. MOC for circling 295ft → 20% of 295 is 59 → corrections less than 59ft can be disregarded for MDA in circling approach
Rate Of Climb Vy
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PA.
Temp 1
Temp 2
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PA
Temp 1
Temp 2
Temp 3
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PA.
Temp 1
Temp 2
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PA
Temp 1
Temp 2
Temp 3
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PA
Mass 1
Mass 2
Mass 3
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OEI Rate Of Climb VySE
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PA.
Temp 1
Temp 2
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PA
Temp 1
Temp 2
Temp 3
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PA.
Temp 1
Temp 2
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PA
Temp 1
Temp 2
Temp 3
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PA
Mass 1
Mass 2
Mass 3
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Service Ceiling OEI
Pressure Alt.
ROC (VySE)
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Pressure Alt.
Pressure Correction
True Alt.
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Service Ceiling ROC (-)
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PA.
Temp 1
Temp 2
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PA
Temp 1
Temp 2
Temp 3
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PA.
Temp 1
Temp 2
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PA
Temp 1
Temp 2
Temp 3
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PA
Mass 1
Mass 2
Mass 3
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Fuel Consumption
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Temp\MAP
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Temp\MAP
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Alt\Temp
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Temp\Alt
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True Airspeed
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Temp\MAP
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Temp\MAP
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Alt\Temp
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Temp\Alt
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Power Setting
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Temp\MAP
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Temp\MAP
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Alt\Temp
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Temp\Alt
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Made by Frederik Munk Brønserud & Niels Fyhring - 2019 - Version