Sim pilots will usually know the corner velocity and the
sustained turn velocity of their favorite fighter planes, but
have only a rough idea of the flight envelope of their
favorite mount. A tool that real fighter pilots use to
analyze an aircraft's performance is the
Energy-Maneuverability Diagram, or E-M chart.
This diagram shows a plane's turn and energy
characteristics for a specific load and configuration, and
is a very handy plot for predicting and comparing aircraft
performance. It shows the relationship between an
airplane's current speed, G-load, turn rate, and turn
radius, which are all essential data for the turn fighter.
But the chart also reveals the changes in the airplane's
energy state due to this maneuvering. An understanding of
these characteristics is the secret weapon of the energy
fighter.
The E-M chart plots an aircraft's flat turn performance,
according to its speed and lift load. The X-axis is the
Indicated Air Speed in miles per hour (mph), and the lift
is in units of G. The Turn Rate is read off the Y-axis in
degrees per second, and the Turn Radius is in units of
hundreds of feet. The light gray lines in the background
show lines of constant G and radius, allowing quick
estimation of a turn and energy state. The heavy, colored
lines show the plane's performance envelope, as defined by
its lift limit and physical G limit. Exceeding the edges of
the envelope for long periods means the aircraft has spun
out, or the pilot has blacked out.
For this short example, we take the data from the P-38L
Lightning as modeled in a popular air combat simulator. The
simulated aircraft is loaded with 25% fuel and 100% ammo.
The heavy blue line shows the regular Lift Limit, or the
lift available for turning. The peak of this line is the
corner velocity at 270 mph and 6.67 G, with a resulting
turn rate of 30 deg/sec.
The sustained turn using full military power is at the peak
of the purple line marked Ps=0: 160 mph and 17 deg/sec.
With WEP, the peak of the red line marked Ps=0 WEP is 170
mph and 18.5 deg/sec. The green line running parallel to
the lift curve is the lift limit with combat flaps. For the
same air speed, the flaps provide extra lift available for
more turn rate. The corner velocity using this curve is at
240 mph and a remarkable 33.3 deg/sec.
The lines marked Ps (specific excess power) indicate the
change in energy state, expressing it as a change in
altitude in feet per second. The most significant of these
curves is Ps=0 (and Ps=0 WEP), which shows the sustained
turn performance possible at speeds and G-loads within the
envelope. To maintain energy while turning at higher
speeds, keep the G-load within this curve.
At points above the Ps=0 curve, turns cost energy. This
energy loss is manifested by either a loss of airspeed or a
drop in altitude. The curves marked Ps=-40 and Ps=-100 plot
the relative loss incurred for high-G maneuvers. They show
very clearly how an instantaneous turn at corner velocity
cannot be sustained. However, it is possible to maintain
the peak turn rate at Ps=-40, by taking a shallow dive to
offset the energy loss. At 200 mph, a nose-down attitude of
about 8 degrees is required, resulting in a descent of
about 2400 feet per minute.
This chart also plots the Ps=0 curves for one and two
notches of flaps. The thin, solid lines marked Flaps 1 and
Flaps 2 use military power. The thin, broken line is Flaps
1 with WEP. Note that with Flaps 1 and WEP, the P-38 can
sustain a 19 deg/sec turn at 150-160 mph. Why not fly with
one notch of flaps all the time? The slope of the flaps
curve is steeper, meaning quicker energy loss at higher
speeds and G-loads.
The veteran sim pilot knows the performance characteristics
of many planes from experience, but the pilot with less
comprehensive knowledge can compare E-M charts of other
planes to exploit the advantages of a better turn-to-energy
ratio. In the next article we will do comparative analyses,
and also see how an energy fighter can use this tool.
Reach Joseph at www.swlink.net/~jhong
Figure 1: The E-M Chart shows how energy can be maintained
in a flat turn.