VOR Navigation

From: Subject: VOR Navigation Date: Fri, 27 Aug 2004 09:11:32 -0500 MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_000_0000_01C48C15.D8711CF0"; type="text/html" X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1441 This is a multi-part message in MIME format. ------=_NextPart_000_0000_01C48C15.D8711CF0 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Content-Location: http://www.campbells.org/Airplanes/VOR/vor.html VOR Navigation

The VOR

by
Joe Campbell
December, 1995

The purpose of this presentation is to explain = some=20 interesting technical research into VOR technology and some informal=20 investigation of its history. I am also pleased to describe my personal=20 procedures for VOR navigation in the belief that others benefit from an=20 alternate understanding.

Pre-VOR navigation consisted of NDBs (radio = compasses) and=20 the low-frequency "AN" system. You're all familiar with the former, so I = won't=20 bother to explain it. The AN system was the primary means of radio = navigation=20 familiar to tens of thousands of pilots who returned from WWII. In the = AN=20 system, the pilot flies between pairs of directional radio transmitters, = each=20 modulated with a Morse code identifier. When the aircraft is on one side = of the=20 course, a Morse 'A' is heard; when the aircraft is on the other side of = the=20 course an 'N' is heard. When on course, the pilot hears only a steady = tone. When=20 directly over the station, no sound is heard ("the cone of = silence").

It's important to understand that the NDB and the = AN system=20 have an important characteristic in common--they are command = instruments. That=20 is, both instruments tell the pilot unambiguously whether to turn right = or left=20 to reach the desired course. This is an important point--this was the = form of=20 navigation most pilots were familiar with. Their expectations and = training=20 apparently shaped the way in which the new VOR technology was presented = to the=20 pilot population.

As prelude to studying for my instrument rating, I = decided=20 to learn how VOR transmitters and receivers worked. Rooting around in = the dusty=20 off-campus engineering archives at UC Berkeley, I located a 1949 book = entitled=20 (approximately), "The Theory and Design of Quadrature Navigational = Systems." As=20 its title suggests, this text explained the theory of quadrature = modulation=20 (which I'll summarize shortly) implemented with the vacuum-tube = technology of=20 the day--a technology I'm old enough, alas, to understand.

While puzzling over circuit diagrams for a VOR = receiver, I=20 noted an output labeled "Hemispherical Station Heading Indicator." The = book=20 often refers to it merely as the SHI. I had never heard of such a thing = and was=20 baffled at what its purpose might be. Finally it struck me--this circuit = drives=20 an indicator on the face of the instrument that always indicates the = headings=20 that lead toward the VOR station.

On the earliest receivers (apparently prototypes), = were two=20 indicator flags in the shape of arrow heads. One arrow was located in = the top=20 half of the instrument face and points upward. The other was located in = the=20 bottom half and points downward. Only one of these indicators is = activate at a=20 time. Between the two indicator arrows was written the word = STATION.

Let's see how this works. Assuming no wind, we all = know that=20 for any radial tuned on the OBS, half of all possible headings intersect = it.=20 These intersecting headings are indicated by the CDI. That is, the = position of=20 the CDI cuts a navigation problem in half. Of the headings on the side = of the=20 CDI, half lead away from the station and half lead toward it. The = headings=20 leading toward the station are always identified by the SHI. When the = upper=20 arrow is visible, the course to the station lies in the upper half of = the OBS.=20 When the lower arrowhead is visible, the course to the station lies in = the lower=20 half of the OBS.

Just as the CDI eliminates half of all possible = headings,=20 the SHI indicator eliminates half of those on the side of the CDI. The = result is=20 that the instrument always provides the course to the station within = ninety=20 degrees-- hence the word "quadrature" in the name of the technology. In = other=20 words, the VOR is essentially a station--heading indicator.

Let's look at a couple of examples.

3D"Example The OBS in this example is tuned to the 150 = radial. The CDI=20 shows that all headings intersecting the 150 radial lie on the left side = of the=20 instrument, between 150 and 330 degrees. The SHI further indicates that = the=20 headings to the station lie at the bottom of the OBS between 060 and 240 = degrees. Superimposing these two hemispheres, we see that the headings = that=20 intercept the 150 radial and fly toward the station lie between = 060 and=20 330 degrees. Thus, intercepting the 150 at a 45 degree angle and flying=20 toward the station requires a course of 015. Conversely, = intercepting the=20 150 at a 45 degree angle and flying away from the station requires a = course of=20 105.

3D"Example This example presents the same information in a = reciprocal=20 example. This time, the OBS is tuned to the 330 radial. The CDI shows = that all=20 headings intersecting the 330 radial lie on the right side of the = instrument,=20 between 150 and 330 degrees. The SHI further indicates that the headings = to the=20 station lie in the top half of the OBS between 060 and 240 degrees. = Again=20 superimposing, we see that the headings that intercept the 330 radial = and=20 fly toward the station lie between 330 and 060 degrees. Thus, = intercepting=20 the 330 at a 45 degree angle and flying toward the station = requires a=20 course of 015. Conversely, intercepting the 330 at a 45 degree angle and = flying=20 away from the station requires a course of 105.

Note that the headings required to fly to and from = the=20 station are identical in both examples.

Further examples are possible, but the = interpretation is=20 always same--the quadrant shared by the CDI and the SHI always contains = the=20 headings to intercept the dialed--in radial and fly toward the=20 station.

From the technical information available, it's = pretty clear=20 that the VOR was originally intended to be interpreted in the way I've = just=20 described. During certification testing in the late forties and early = fifties,=20 however, officials observed that pilots, many of whom were familiar with = the AN=20 and NDB systems, tended always to turn toward the needle, regardless of = the SHI.=20 Exactly half the time thus flying the VOR as a command instrument--that = is,=20 turning left or right toward the CDI without regard to the SHI--sends = the=20 aircraft off in the wrong direction.

Concerned about the safety of the system, the CAA = (the=20 predecessor of the FAA) decided that new procedures would have to be = developed=20 to accomodate pilots' insistence on flying the VOR receiver as a command = instrument. The word STATION between the two flags was replaced = with the=20 words TO and FROM inscribed below the individual arrows. = Many=20 Cessna instruments (and doubtless others) are labeled this way. In later = designs, the words TO and FROM replace the arrows. In some = instruments, a single flag flips to display either TO or=20 FROM.

Changing the names alone did not solve the problem = of pilot=20 misinterpretation because pilots apparently took the names TO and = FROM literally. As one might predict, pilots were uncomfortable = flying=20 toward the station on a heading that falls in the FROM half of = the OBS.=20 This infelicity was "corrected" by a simple procedure change: when = flying to the=20 station, the OBS is tuned to the reciprocal of the desired radial. In = this way,=20 the headings to the station always lie at the top of the OBS and on the = side of=20 the CDI. No such rule exists when flying away from the station--the OBS = is=20 remains tuned to the desired radial.

This view of the VOR as a command instrument = persists to=20 this day.

Flying the SHI

In this section I intend to explain how I do VOR = navigation.=20 To simplify the discussion, I refer to my method as the SHI (Station = Heading=20 Indicator) method and to the conventional practice as the = command-instrument=20 method.

During VOR instruction for the private, every = student is=20 told how to intercept a given radial and fly to a station: tune the OBS = to the=20 reciprocal of the desired radial, confirm a TO indication, then fly the = heading=20 at the top of the OBS. During this instruction, the student usually = hears the=20 term "reverse sensing" for the first time. Although I have never found a = clear=20 definition of revese sensing, I believe this to be a fair summary:=20 misinterpretation of VOR indications produces a situation in which the = pilot=20 flies in the opposite direction because he is unable to center the CDI = by=20 turning the airplane toward the needle (i.e., it is no longer a "command = instrument"). Trevor Thom in his excellent "Instrument Flying," ends his = discussion of this situation with the lamentation, "What a pity!" It is = not=20 clear why remembering to reverse tune is less onerous than remembering = to=20 interpret the TO/FROM flag correctly.

From my earlier description of VOR technology it = should be=20 obvious that there is no such thing as reverse sensing. The instrument = senses=20 nothing in reverse. Rather, reverse sensing occurs in the pilot's mind = as a=20 result of improper interpretation of the VOR indicators.

I personally believe that if one abandons the = abritrary=20 notion that the headings one flies must lie in the top half of the OBS, = the VOR=20 becomes a vastly simpler instrument to understand and navigate with. The = sole=20 purpose of the VOR receiver then becomes to provide headings to the = desired=20 course. Whether the CDI is deflected right or left is irrelevent because = only=20 headings are important in IFR VOR navigation.

Before continuing, I'd like to resolve some issues = of=20 nomenclature. The FAA and its navigational cartographers define a radial = as a=20 course extending outward from a facility. The PILOT/CONTROLLER GLOSSARY = in the=20 US Airman's Information Manual also defines it this way. In this view, = the 270=20 radial does not exist east of the station, and the 090 doesn't exist = west of the=20 station. In this view, one can't track the 270 to the station because = there is=20 no such thing as a TO radial. Instead, one tracks the reciprocal radial = that=20 properly leads away from the station.

Although a radial is depicted on charts as = originating at=20 the center of a facility and progressing outward, the VOR reciever = ubiquitiously=20 and simultaneously picks up the electronic signals of all radials. To = the CDI,=20 the signal for any radial and that of its reciprocal are identical = (that's why=20 the CDI happily centers on either). For the purposes of naviagation, = therefore,=20 a pilot may with perfect confidence treat every radial as proceeding = outward in=20 two reciprocal directions from the transmitter. The pilot then relies on = the SHI=20 to indicate the direction in which the station lies.

Although I now use the SHI method as naturally as = I once=20 used the command-instrument method, I freely admit that it took some = practice.=20 But much of my effort was spent unlearning the conventional mindset I = had=20 learned as a student. I'm further convinced that a student encountering = VOR=20 naviagation for the first time would find the SHI method no harder to = learn than=20 the conventional ones. In fact, I believe the SHI method is easier to = learn=20 because there are no reverse tuning rules to master. To prove this = hypothesis, I=20 used my son Ben (age 28) as a guinea pig. While he was obtaining his = Private=20 certificate, I asked him to ignore all instruction on VOR navigation and = learn=20 the SHI method instead. Not only did he correctly answer all the = questions on=20 his written exam, his ability to instantly solve complicated = navigation=20 and position problems greatly vexed his instructors and the examiner on = his=20 check ride. (To their credit, no one failed him just because they didn't = understand his methodology.)

In the SHI method there is but a single tuning = rule: the OBS=20 is always tuned to the course or radial of interest. There are no = exceptions. If the approach plate shows the inbound course to be XXX=20 degrees--set the OBS to xxx. If a controller tells me to "intecept the=20 such-and-such radial and proceed to XYZ VOR"set the OBS to the = such-and-such=20 radial. When flying the procedure turn on a VOR or ILS--the OBS remains = set to=20 the inbound course throughout the approach. When entering a hold at a = VOR--set=20 the OBS to the holding radial (or the inbound course--your choice). With = the=20 exception of making course changes, the SHI method eliminates the TWIST = from the=20 5 T's mantra.

Here's a simple example. Let's assume an example = where=20 you're located WSW of the station and you wish to track the 270 to the = station.=20 You wish to intercept the 270 radial and track it to the station. Now, = the=20 reverse sensing paradigm insists that you cannot track the 270 to the = station=20 because no such "TO" radial exists; you must tune the OBS to 090, = instead. Let's=20 see if this is true.

As always, tune the OBS to the radial you are = intested=20 in--in this case, 270. Your VOR receiver appears as follows:

3D"Example In this example all the headings that intecept the = 270=20 radial lies on the right side of OBS 270 and 090. The SHI shows that the = headings that also lead toward the station lie in the bottom half of the = OBS. A=20 heading of 045 therefore intercepts the 270 at 45 degrees; a heading of = 080=20 would give a ten-degree intercept, and so on. When the CDI centers, a = turn to=20 090 takes you to the station. As in the command-instrument method, the = CDI is=20 used for tracking. The difference is that the pilot derives a heading to = fly=20 relative to the SHI as well as the OBS.

Another example: While tracking inbound on the 270 = radial=20 (OBS is 270 and heading is 090) of XYZ VOR, you receive the = instructions, "Hold=20 southwest at XYZ on the 270 radial." The radial of interest, 270, is = already in=20 the OBS. Upon passing the station, the SHI flips to show that the = headings to=20 the station are now at the top of the OBS. You now turn south to the = outbound=20 heading of 270. As you pass abeam the station, the SHI flips to show = that the=20 headings to the station are in the lower part of OBS. After one minute, = you turn=20 to an appropriate heading given by the OBS and SHI to intercept the 270 = radial=20 back toward the station.

A final example: You're flying the ILS 30 on a = transition=20 that requires a procedure turn. Although the OBS setting has no effect = on the=20 CDI, as you near the outer marker IAF, you set 300 in the OBS as a = reminder.=20 Upon crossing the compass locator, you turn to the outbound heading of = 120. The=20 CDI is off to one side. Although SHI on a localizer is inactive, you = know (or=20 shoud know) that the headings required to intercept the localizer appear = at the=20 bottom of the OBS on the side of the CDI. You chose an intercept heading = from=20 the bottom of the OBS, and when it starts to center, turn back onto the = heading=20 at the bottom of the OBS--the outbound heading--and continue to track = the=20 localizer outbound using headings at the bottom of the OBS. After a = minute or=20 so, you turn in the protected direction indicated on the approach plate = and=20 complete the turn back toward the inbound course--the one at the top of = the=20 OBS.

The point of this last example is that on the = outbound leg=20 you derive headings in the same manner as on the inbound leg. That is, = you fly=20 headings derived from the CDI and the imaginary SHI. For a back course = approach,=20 the procedure is exactly the same, with one exception: because a = localizer=20 transmits only a single directional signal, you put the front = course=20 heading in the OBS instead of the back course heading. Since the heading = you're=20 flying is at the bottom of the OBS, you obtain tracking headings from = there=20 also.

Finding Intersections

In my Diary of an = IFR=20 Ticket, I refer to a foolproof method for navigating to an = intersection=20 without figuring out your current position. This method is based upon = the=20 prinicples explained in this paper. As many have asked for an = explanation of=20 that method, consider the following example:

For the reasons explained earlier in this paper, = by=20 definition the two dialed-in radials intersect, so they must have at=20 least one radial in common. In the example above, 045 appears on the = side of=20 the CDI of both OBS's. Fly that heading; since you're West of VOR A, its = CDI=20 will center first. Now, just turn to and track 090, which (after passing = over=20 VOR A) will eventually center VOR B. When VOR B centers, you're at the=20 intersection.

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