Sometimes while navigating with map and compass, the advice is to aim off i.e. to aim either to the left or right of the intended destination, as opposed to straight for it.

Why and when would one want to do this?

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I didn't quite get your question here. I used to do a bit orienteering and one of the first things we learn is that the shortest distance between two points is a straight line but the quickest might be something else. If you're planning to reach a hut by the river, you might want to aim off towards the river so you can follow the river bed to the hut. It might be easier and safer to get to the hut. In this case is not "aiming off" it's just re routing your track – Desorder Jan 17 at 6:31
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@Desorder imagine crossing featureless terrain to reach a non-obvioud ford in a river. When you hit the river you want to know whether the ford is to your left or right. So you pick one and aim off. The terminology is quite standard in the UK (getting off Dartmoor in fog a more realistic example) – Chris H Jan 17 at 8:25
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Another factor to bear in mind (though from the wording of the question, not the main point here) is that "magnetic north" and "true north" are often different things, and the difference between the two drifts unpredictably with both time and location (bit.ly/2j55Tdr for an example). – berry120 Jan 17 at 15:29
    
@berry120 don't you mean "predictably"? Changes in magnetic declination are so predictable that my Canadian NTS map published in 1971 gives me a formula to adjust my compass's declination and supports accurate navigation today – tomfumb Jan 18 at 17:33
    
@tomfumb you're right in general, though some areas change much faster than others (fig. 3). – Chris H 2 days ago
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The reason is that you could miss your destination and hit a trail and know that you are almost right, but not know which way to turn.

enter image description here

So if you were to go straight for the destination, and because of Murphy or errors or whatever and you ended up at either Point A or Point B, you wouldn't be certain of which way to turn to reach the trail intersection.

If on the other hand you had gone for Point B in the first place, you would know that when you got there, you needed to turn left. That is why one would aim off.

This works well when you are going for a single point on a well defined line like a trail or stream.

Note:

The error is exaggerated for artistic purposes, but if you were to go for the destination straight off, your margin on either side is how far you would be able to see the destination from.

On the other hand, while aiming for Point B, so long as one doesn't end up to the left of the destination, one is fine, and that is a much wider margin or error.

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In orienteering, this is called "aiming off" - us.orienteering.org/new-o/o-lingo – Peter Masiar Jan 17 at 21:57
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"To deliberately aim to one side of a control or feature so that you know which way to turn upon hitting the feature before seeing the control" – Peter Masiar Jan 17 at 21:57

In addition to the case described by Charlie (and to show that I also can make drawings in Paint), there is the case where you want a stopping line to know when you are going too far. This is mainly useful when you are aiming for the end of a feature. The drawing below is with a river bend that you try to reach, but the same principle works when aiming for the end of a trail, the end of a fence, a turn in a path etc.

Situation sketch

Obviously, the shortest way is the green line. But what happens if you deviate slightly from it to the left or the right? To the right is not an issue, but if you unknowingly deviate to the left you will end up in the situation of the red line. You should be more or less at your destination, but have no idea if you are too far or should continue a bit further. You are lost.

To avoid ending up lost, you will usually, on purpose, aim a bit to the right and follow the yellow line. It is a bit longer than the optimal green line, but you are sure that you will end up at the river. And once you hit the river you know that you should follow it a little to the left to end up at your destination. It is a bit longer than the green line, but at least you know that you will not end up in the hopeless case of the red line.

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Navigation - be it either over land or sea - is governed by non-Euclidean geometry, which means dealing with a sphere instead of a plane. This also means that shortest path between two points on a sphere will never be straight line (unless you can dig really fast). This shortest route is called orthodrome. When bearing is designated by compass only we pass every meridian at a same angle (as all meridians converge on the poles), which means we're traveling along the loxodrome (except for bearings due north or south or when travelling along the equator).

Aiming slightly to the either side of the compass-designated bearing (which side obviously depends on which direction you're travelling to and which hemisphere you're on, I think) allows to compensate for the loxodrome and to come closer to the orthdrome route, which means you have to cover less distance. The longer the distance, the bigger the difference.

As obviously, this one starts to matter at distances greater than 6 km, which is when curvature of the Earth's surface starts to become noticeable. However, maritime navigation says that going over orthodrome gives benefits over the loxodrome on the distances over 500 nmi.

Below images show you what the difference is:

enter image description here

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Explaining the differences between orthodrome and loxodrome is important in global cartography or navigation. However, it has nothing to do with the current question, which is about local navigation. (This sort of answer might appear in gis.stackexchange.com) – Martin F Jan 18 at 19:54
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In fact, for me it would be perfectly acceptable to ask a very similar question about long distance navigation. Sailing is on topic on the website, so if you frame it that way it be on topic and you could just copy this answer. Though I feel that the answer should mention the Mercator projection. The fact that a loxodrome is a straight line on a Mercator map is why this projection grew so popular, despite its obvious shortcomings. – ptityeti Jan 18 at 20:14
    
500 nanometers?! lol. Perhaps a less ambiguous abbreviation is in order? – jpmc26 Jan 19 at 17:36
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When I'm walking to a place and wind up 500 nanometers from the destination, I usually consider myself to have arrived. ;-) – WBT Jan 19 at 20:52
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@jpmc26 I would walk 500 nanometers and I would walk 500 more to be the one that walked a micrometer to fall down at your door. – corsiKa Jan 20 at 2:50

This is all fascinating stuff, and I've learnt a lot from reading it, but since I've not seen what I thought was the answer from what I was taught, I've created an account just to reply. When flying, you head a few degrees away from your destination to compensate for the wind speed, blowing you off course. There are tables to work out based on windspeed and distance.

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I don't think flying is on topic on TGO... So I would say that is not the kind of situation the OP had in mind. – ptityeti 11 hours ago
    
Well according to our usual definition (anything that happens outdoors) flying should very much be on topic (for e.g.. paragliding this should be more obvious). – imsodin 11 hours ago
    
@imsodin You are right. I was thinking about flying in too narrow terms. Upvoting. – ptityeti 10 hours ago

I was in the Army Infantry in the '90s when we still used maps and compasses to get through the woods. People have a tendency to veer off to the side of the hand holding the compass when they are land navigating, especially at night. You could try to compensate by switching which hand you are holding the compass with periodically during that leg of the trip. You could try keep in mind that you veer off and try to compensate. Or, you can just assume it will happen and aim a few degrees opposite of the direction you know you veer. This mostly happens with "dead reckoning" which means you are using your compass and not some distant landmark to stay on your azimuth. There are times you can aim a few degrees off during the day when you are walking towards a landmark far away. For instance, if, after looking at your map, you see that your destination is 35 degrees and 650 meters away from you, you could try to keep a pace count and try to stay on azimuth and hope you have kept track of these two things properly and your target will be right where you think it should be. Another method is to see if there is something close to your target (but maybe a few degrees left or right of it) that you can see from your starting point that is also on your map (hill top, tall church, road intersection.) You can easily find and go to that reference. Once you are there you have a much shorter distance to travel to get to your actual target. This gives you a better chance of finding it b/c your pace count is more accurate the shorter distance you go and you will not have as much of an opportunity to veer off your azimuth.

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Maps are generally drawn with "grid north" at the top, which is not quite the same as magnetic north. Magnetic north actually moves over time, and many maps will note the magnetic deviation for the area in the map. Here in the UK, for example, Ordnance Survey maps have a small diagram by the key that shows the different angles.

Because of this deviation, when going from the map to a bearing, you add a small correction factor, and when taking a bearing and checking it on the map, you subtract that factor.

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This is different to aiming off though, this is magnetic correction. You can also adjust an offset on a decent compass if you take a lot of bearings in a particular region. But whether you offset the compass or do the arithmetic at every bearing, you may still want to aim off for the reasons stated in the other answers. – Chris H 2 days ago

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