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GPS to grid reference

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General fitness, health and nutrition
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29 July 2007
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17 August 2007
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Bernard Hill
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  1. In article <[email hidden]>, Bernard Hill
    <[email hidden]> writes

    Quoted message said:

    In article <[email hidden]>, Peter Clinch
    <[email hidden]> writes

    Quoted message said:
    Dominic Sexton said:

    In article <[email hidden]>, Bernard
    Hill <[email hidden]> writes

    Quoted message said:

    > A centroid is the centre of gravity. It's vertically downwards for
    >every person on earth.
    In truth there is no one point which is vertically down from
    everywhere on earth. Vertically down is orthogonal to the
    equipotential surface (known as the geoid) and that undulates due to
    gravity anomalies from terrain and variations in subsurface density.
    This is one of the problems.
    Given that how do you determine the location of the centroid?

    Wot 'e says... the Geoid article on the Wiki is quite informative.

    It is, in fact, more of a "problem" in mountains, Schiehallion having
    been famously used for an early and remarkably successful geophysical
    experiment to estimate the mass of the earth by assessing how much the
    mountain pulled a plumb away from "vertical".

    You are right. I should have had more sense than to write that, as a
    mathematician. I apologise.

    However locating the "true" lat/long is still straightforward as long
    as you can find the centre of the earth. You can halve the distance
    between the two poles, that will do to get the centre of the earth. And
    the poles can be located astronomically.

    And how do you decide where the south pole is? The ice shelf surface?
    The land surface beneath the ice or the projection of the geoid under
    both?

    The multiple datums you dislike so much generally agree about the
    location of the centroid to within a couple of hundred metres. Unless
    you use the geoid your method will be further out than that.

    You seem to have a real bee in your bonnet about this being much simpler
    than is the case. The astronomers and cartographers of the last few
    hundred years have carefully taken their measurements, made their
    calculations and come up with the multiple datums which have been
    usefully applied in the area of applicability. Do you really think that
    they were unable to think of and apply your simple ideas and all come up
    with the same answer?

    There is no one 'true' lat/long system for the earth. The closest, on
    average, is WGS-84 whose origin is the centroid of the earth as
    determined by highly accurate measurements of satellite orbits.

    --

    Dominic Sexton

  2. Bernard Hill said:

    You are right. I should have had more sense than to write that, as a
    mathematician. I apologise.

    No need, the point is to get the grey matter exercising. In
    discussions like this I often have to change or abandon answers
    half way through composing them, as they get the grey matter
    exercising...

    Quoted message said:

    However locating the "true" lat/long is still straightforward as long as
    you can find the centre of the earth. You can halve the distance between
    the two poles, that will do to get the centre of the earth.

    As Dominic points out, that sort of thing will give you /a/ centre,
    not *the* centre.

    Lat/long certainly /started off/ simple, but global co-ordinate
    systems have got progrssively complex the more that's been found
    out about the true shape and nature of the earth. Nobody actually
    /wants/ them to be complicated, but if you're going to have a
    universal, consistent and accurate system then it has to be complex
    as the simple systems break down. The devil, as is often the case,
    is in the detail. It's the difference between applied and pure
    science. Pure tells you how it should be, applied is diluted with
    practical realities :-(

    Pete.
    --
    Peter Clinch Medical Physics IT Officer
    Tel 44 1382 660111 ext. 33637 Univ. of Dundee, Ninewells Hospital
    Fax 44 1382 640177 Dundee DD1 9SY Scotland UK
    net [email hidden] http://www.dundee.ac.uk/~pjclinch/

  3. In article <[email hidden]>, Bernard Hill
    <[email hidden]> writes

    Quoted message said:

    In article <[email hidden]>, Peter Clinch
    <[email hidden]> writes

    Quoted message said:


    A GPS (even a simple, base model like the eTrex) will give you that at
    the touch of a button. As well as Lat/Long and an OS grid ref.

    I'm doubtful. Look at NavMan W300, specifically for walkers. For
    instance

    http://cgi.ebay.co.uk/ws/eBayISAPI.dll?ViewItem&item=300113698266

    Also available for £40 on Amazon. Of all the features it offers,
    nowhere does it say "where you are". All the details I've found on the
    internet say things like this:

    That is not a conventional recreational GPS receiver it is aimed at
    logging exercise. There are several other receivers aimed at the
    'fitness' market which also don't do grid refs.

    If you want grid refs but no frills you are probably limited to a basic
    recreational receiver from Garmin, Magellan or Lowrance.

    From Garmin anything in the eTrex or Geko ranges will do (but the Geko
    101 does not have a PC interface which is not just useful for
    transferring data but also upgrading / reloading the firmware if
    necessary).

    The Magellan eXplorist range is starts with no frills but like the Geko
    101 the eXplorist 100, 200 and 300 models have no PC interface.

    The Lowrance iFinder has similar capabilities to the others.

    If you want one under £50 I expect that you will need to patiently watch
    the second hand offerings on eBay. You might get lucky...

    --

    Dominic Sexton

  4. In article <[email hidden]>, Dominic Sexton
    <[email hidden]> writes

    Quoted message said:
    Quoted message said:


    However locating the "true" lat/long is still straightforward as long
    as you can find the centre of the earth. You can halve the distance
    between the two poles, that will do to get the centre of the earth.
    And the poles can be located astronomically.

    And how do you decide where the south pole is? The ice shelf surface?
    The land surface beneath the ice or the projection of the geoid under
    both?

    the same way as you do the N pole. By geometry and the stars. They are
    the points on the earth's surface where the stars go in circles. And you
    can tell one from the other by looking for the polar bears <g>

    Quoted message said:


    The multiple datums you dislike so much generally agree about the
    location of the centroid to within a couple of hundred metres. Unless
    you use the geoid your method will be further out than that.

    You seem to have a real bee in your bonnet about this being much
    simpler than is the case. The astronomers and cartographers of the last
    few hundred years have carefully taken their measurements, made their
    calculations and come up with the multiple datums which have been
    usefully applied in the area of applicability. Do you really think that
    they were unable to think of and apply your simple ideas and all come
    up with the same answer?

    No. We have better instruments these days.

    Quoted message said:


    There is no one 'true' lat/long system for the earth. The closest, on
    average, is WGS-84 whose origin is the centroid of the earth as
    determined by highly accurate measurements of satellite orbits.

    That sounds good.

    But why do you ask me how it's done if you already know the answer? And
    if the answer is WGS84 then let's all use it!!!

    --
    Bernard Hill
    Selkirk, Scotland

  5. Bernard Hill said:

    In article <[email hidden]>, Dominic Sexton

    Quoted message said:
    Quoted message said:

    And how do you decide where the south pole is? The ice shelf surface?
    The land surface beneath the ice or the projection of the geoid under
    both?

    the same way as you do the N pole. By geometry and the stars. They are
    the points on the earth's surface where the stars go in circles.

    But that doesn't answer the question Dominic asked (read it again),
    because your method isn't a *singular place*, but at some as yet
    undefined point a line extending from the rotation axis. And since
    you're using a ploy of half the distance between two points, that
    doesn't cut it as a precise definition.
    You can't really do the stars from the North Pole on the sea bed, so I
    guess you're looking at sea level, so that'll be the geoid. That's not
    necessarily going to be where you can see the stars from the south pole,
    as you're on a land mass with a thick ice sheet on top, which will throw
    the value of the answer you get for half the distance between them.

    Quoted message said:
    Quoted message said:

    You seem to have a real bee in your bonnet about this being much
    simpler than is the case. The astronomers and cartographers of the
    last few hundred years have carefully taken their measurements, made
    their calculations and come up with the multiple datums which have
    been usefully applied in the area of applicability. Do you really
    think that they were unable to think of and apply your simple ideas
    and all come up with the same answer?

    No. We have better instruments these days.

    Which is precisely why we don't have to stick to overly simplistic
    models like a regular ellipsoid any more: we can use better descriptions
    of earth shape now, with our better instruments.

    Quoted message said:

    But why do you ask me how it's done if you already know the answer? And
    if the answer is WGS84 then let's all use it!!!

    It's the most common datum by far, but not necessarily the best one in
    any particular locality. Especially one where a datum has been selected
    for a local best fit, rather than a global best fit as WGS84 has. And
    even if that wasn't the case, do you want to throw away all your OS maps
    because they use the "wrong" datum? I doubt it!
    OS use their UK national grid datum, the Norwegian mapping agency use
    WGS84. What's the problem of them using different datums for their
    local maps? None that I can see, as there's no point where the agencies
    are trying to map the same localities.

    Pete.
    --
    Peter Clinch Medical Physics IT Officer
    Tel 44 1382 660111 ext. 33637 Univ. of Dundee, Ninewells Hospital
    Fax 44 1382 640177 Dundee DD1 9SY Scotland UK
    net [email hidden] http://www.dundee.ac.uk/~pjclinch/

  6. In article <[email hidden]>, Bernard Hill
    <[email hidden]> writes

    Quoted message said:


    But why do you ask me how it's done if you already know the answer? And
    if the answer is WGS84 then let's all use it!!!

    Well that kind of ignores history. OS maps are based on a grid that is
    projected on a datum from 1936 - OSGB36. Now the OS have redefined the
    heights and the National Grid with respect to WGS-84. That's a good
    thing but it is natural for organisations / governments to be wary of
    going to considerable lengths to update all their maps / charts never
    mind the potential for confusion when changing from one system to
    another.

    --

    Dominic Sexton

  7. In article <[email hidden]>, Peter Clinch
    <[email hidden]> writes

    Quoted message said:
    Bernard Hill said:

    In article <[email hidden]>, Dominic Sexton

    Quoted message said:
    Quoted message said:

    And how do you decide where the south pole is? The ice shelf
    surface? The land surface beneath the ice or the projection of the
    geoid under both?


    the same way as you do the N pole. By geometry and the stars. They
    are the points on the earth's surface where the stars go in circles.

    But that doesn't answer the question Dominic asked (read it again),
    because your method isn't a *singular place*, but at some as yet
    undefined point a line extending from the rotation axis. And since
    you're using a ploy of half the distance between two points, that
    doesn't cut it as a precise definition.
    You can't really do the stars from the North Pole on the sea bed, so I
    guess you're looking at sea level, so that'll be the geoid. That's not
    necessarily going to be where you can see the stars from the south
    pole, as you're on a land mass with a thick ice sheet on top, which
    will throw the value of the answer you get for half the distance
    between them.

    You have not understood at all. We don't need to get the position right
    as long as we all agree. The centre of the earth (however defined - as
    long as it's on the axis of rotation) is to be the centre of the
    coordinate system. With that we have the zero of latitude, the equator.
    Then we all agree one point which is our zero of longitude. QEF.

    Now if you can do things better by using orbits (because that gives the
    centre of gravity, the centroid) then even better. But my whole point is
    that there IS ONE exact centroid and axis of rotation. So once we agree
    on the zero of longitude then we have a universal system.

    Quoted message said:


    Quoted message said:

    But why do you ask me how it's done if you already know the answer?
    And if the answer is WGS84 then let's all use it!!!

    It's the most common datum by far, but not necessarily the best one in
    any particular locality. Especially one where a datum has been
    selected for a local best fit, rather than a global best fit as WGS84
    has. And even if that wasn't the case, do you want to throw away all
    your OS maps because they use the "wrong" datum? I doubt it!
    OS use their UK national grid datum, the Norwegian mapping agency use
    WGS84. What's the problem of them using different datums for their
    local maps? None that I can see, as there's no point where the
    agencies are trying to map the same localities.

    You speak of "what works best" in one country. A very strange concept it
    seems to me. This defined coordinate system gives harmony across the
    world, we can use it to find out where the geoid is, and how it changes.
    We can do continental drift to see where Greenwich has moved to and so
    on.

    And, note, I have never rubbished the OSGR system. Each country can -
    and probably does - define it's own grid reference, and that's fine and
    good. But the relationship between that and a Universal Lat/Long can
    quite happily change with time either because the country is moving or
    because the standard is being refined. We're all happy with the
    declination changing, as indicated by the note at the top of the map:
    there is no reason to reprint any maps.

    You seem to be unable to imagine my horror as a scientist at finding
    there are apparently different systems of such a basic thing as the
    coordinate system. That's why we standardised the metre, the second, the
    coulomb (etc) and are continually refining them.

    --
    Bernard Hill
    Selkirk, Scotland

  8. Bernard Hill said:

    You have not understood at all. We don't need to get the position right
    as long as we all agree.

    But we all need to agree, and it's down to an arbitrary decision. Why
    not decide on a more accurate model? (well, "we" pretty much have, of
    course).

    Quoted message said:

    Now if you can do things better by using orbits (because that gives the
    centre of gravity, the centroid) then even better. But my whole point is
    that there IS ONE exact centroid and axis of rotation.
    So once we agree on the zero of longitude then we have a universal system.

    The point isn't whether it's possible to do, it's whether it's as useful
    as possible. And it isn't, which is why we don't do that!

    Quoted message said:

    You speak of "what works best" in one country. A very strange concept it
    seems to me. This defined coordinate system gives harmony across the
    world, we can use it to find out where the geoid is, and how it changes.
    We can do continental drift to see where Greenwich has moved to and so on.

    It's not strange at all. Even if your defined co-ordinate system does
    all of the above wonderfully... but I want to know how far is it from
    this summit to that pub then I really am not best off working in your
    long/lat system, I'm better off working on a square grid. Which is why
    we use a (distorted) projection onto a square grid for that sort of job.

    Quoted message said:

    You seem to be unable to imagine my horror as a scientist at finding
    there are apparently different systems of such a basic thing as the
    coordinate system.

    It's not a basic thing though. It's only "basic" if the shape you're
    mapping (and the construction underneath the surface too) is simply and
    predictably regular, and there is no dichotomy between portraying its
    surface as it really is and on a flat map. The earth isn't like that
    though.
    This has been worked out by scientists, rather more high powered than
    either of us I suspect. They haven't made it complicated on a whim,
    they've made it complicated because that works best in describing and
    portraying the earth.

    Quoted message said:

    That's why we standardised the metre, the second, the
    coulomb (etc) and are continually refining them.

    Look at what the metre was originally defined as, and what it is defined
    as now, and that might give you a clue as to the problems of pretending
    the earth is a nice and easy shape!

    Pete.
    --
    Peter Clinch Medical Physics IT Officer
    Tel 44 1382 660111 ext. 33637 Univ. of Dundee, Ninewells Hospital
    Fax 44 1382 640177 Dundee DD1 9SY Scotland UK
    net [email hidden] http://www.dundee.ac.uk/~pjclinch/

  9. In article <[email hidden]>, Peter Clinch
    <[email hidden]> writes

    Quoted message said:
    Bernard Hill said:

    You speak of "what works best" in one country. A very strange concept
    it seems to me. This defined coordinate system gives harmony across
    the world, we can use it to find out where the geoid is, and how it
    changes. We can do continental drift to see where Greenwich has moved
    to and so on.

    It's not strange at all. Even if your defined co-ordinate system does
    all of the above wonderfully... but I want to know how far is it from
    this summit to that pub then I really am not best off working in your
    long/lat system, I'm better off working on a square grid. Which is why
    we use a (distorted) projection onto a square grid for that sort of job.

    We are continually not making contact here. I have maintained I am happy
    with local grids which make sense locally: OSGR being our own example.
    It's the local **Latitude and Longitude** which makes me shudder.

    Quoted message said:


    Quoted message said:

    You seem to be unable to imagine my horror as a scientist at finding
    there are apparently different systems of such a basic thing as the
    coordinate system.

    It's not a basic thing though. It's only "basic" if the shape you're
    mapping (and the construction underneath the surface too) is simply and
    predictably regular, and there is no dichotomy between portraying its
    surface as it really is and on a flat map. The earth isn't like that
    though.

    Of course not! That's not my point at all.

    No roads are straight yet we measure them in metres. It's the **basic
    unit of measurement** (metre) which we agree on because THAT is basic.
    To disagree on the basic unit of measurement (Lat/Long) is what
    horrifies me. It's worse than US/UK gallons because those are different
    units: it's like dealing in French metres or British metres and worrying
    about conversion between units purporting to be basic in each system.

    Quoted message said:

    This has been worked out by scientists, rather more high powered than
    either of us I suspect. They haven't made it complicated on a whim,
    they've made it complicated because that works best in describing and
    portraying the earth.

    Quoted message said:

    That's why we standardised the metre, the second, the coulomb (etc)
    and are continually refining them.

    Look at what the metre was originally defined as, and what it is
    defined as now, and that might give you a clue as to the problems of
    pretending the earth is a nice and easy shape!

    Of course! I am aware of all that - but that has been sorted now (and
    for a long time actually). And the argument has nothing to do with the
    shape of the earth (I keep saying that don't I?).

    Lat/Long/altidude is a coordinate system and can be applied to
    absolutely any shape of body provided the zeroes are agreed. And the
    lack of agreement about zeroes astonished me when all this started.

    --
    Bernard Hill
    Selkirk, Scotland

  10. In article <[email hidden]>, Bernard Hill
    <[email hidden]> writes

    Quoted message said:

    Lat/Long/altidude is a coordinate system and can be applied to
    absolutely any shape of body provided the zeroes are agreed.

    It can but to translate relative lat/long co-ordinates into something
    useful (i.e. distances and bearings) requires a model based on the
    earth's size and shape.

    It is entirely understandable that the astronomers determining the model
    of the earth would come up with answers that fitted their measurements.
    Had they wanted to determine the actual centroid of the earth I'm they
    would have gone about it a different way and there may well have been
    consensus earlier. However they were not so much interested in the
    'real' centroid as determining a useful model of the earth that would
    make the co-ordinates match the reality in their area of interest.

    Perhaps they knew that the centroid of their model did not match reality
    but that didn't matter because their model was a good match for the land
    surface where they wanted it to be.

    --

    Dominic Sexton

  11. Bernard Hill said:

    No roads are straight yet we measure them in metres. It's the **basic
    unit of measurement** (metre) which we agree on because THAT is basic.
    To disagree on the basic unit of measurement (Lat/Long) is what
    horrifies me.

    But what is the meaning of the "basic unit"? You came up with a means
    of describing the centre of the Earth as a reference which might not
    quite work accurately, which will mean (since it will push things South
    of where they should be) that the N hemisphere is bigger than it ought
    to be and the value of a nautical mile (1 minute of latitude) will
    actually change according to where you are. Thus, what you *won't* have
    is a standardised measure, and people using long/lat can't tune in to
    ground values with meters, because one changes and the other doesn't.

    Quoted message said:

    Of course! I am aware of all that - but that has been sorted now (and
    for a long time actually). And the argument has nothing to do with the
    shape of the earth (I keep saying that don't I?).

    Lat/Long/altidude is a coordinate system and can be applied to
    absolutely any shape of body provided the zeroes are agreed. And the
    lack of agreement about zeroes astonished me when all this started.

    See the above example: what is the point of knowing that something is at
    x,y if you can't accurately say from that if x, y+1 is exactly 1 unit
    away from it?

    It is important where you put the zero for a given application. The
    given application means selecting the right tool for the job. Which
    would you prefer, a single adjustable spanner for all possible nuts and
    bolts, or a large set of different spanners optimised for different
    sizes? And answer the question not for a notional magic ideal case, but
    one using actual adjustable/static spanners available form the local
    ironmonger. The adjustable is the simplest and most elegant solution,
    people moving lots of nuts and bolts tend to prefer the other one though

    Pete.
    --
    Peter Clinch Medical Physics IT Officer
    Tel 44 1382 660111 ext. 33637 Univ. of Dundee, Ninewells Hospital
    Fax 44 1382 640177 Dundee DD1 9SY Scotland UK
    net [email hidden] http://www.dundee.ac.uk/~pjclinch/

  12. In article <[email hidden]>, Peter Clinch
    <[email hidden]> writes

    Quoted message said:
    Bernard Hill said:

    No roads are straight yet we measure them in metres. It's the **basic
    unit of measurement** (metre) which we agree on because THAT is basic.
    To disagree on the basic unit of measurement (Lat/Long) is what
    horrifies me.

    But what is the meaning of the "basic unit"? You came up with a means
    of describing the centre of the Earth as a reference which might not
    quite work accurately, which will mean (since it will push things South
    of where they should be) that the N hemisphere is bigger than it ought
    to be and the value of a nautical mile (1 minute of latitude) will
    actually change according to where you are.
    Thus, what you *won't* have is a standardised measure, and people using
    long/lat can't tune in to ground values with meters, because one
    changes and the other doesn't.

    I don't follow that at all. The earth is an *oblate* spheroid (to one
    level of approximation) and so the n.m. to latitude-minute already
    varies depending on your latitude. Similarly metres to lat/long.

    Quoted message said:


    Quoted message said:

    Of course! I am aware of all that - but that has been sorted now (and
    for a long time actually). And the argument has nothing to do with the
    shape of the earth (I keep saying that don't I?).
    Lat/Long/altidude is a coordinate system and can be applied to
    absolutely any shape of body provided the zeroes are agreed. And the
    lack of agreement about zeroes astonished me when all this started.

    See the above example: what is the point of knowing that something is
    at x,y if you can't accurately say from that if x, y+1 is exactly 1
    unit away from it?

    Why can you not?

    Quoted message said:


    It is important where you put the zero for a given application. The
    given application means selecting the right tool for the job. Which
    would you prefer, a single adjustable spanner for all possible nuts and
    bolts, or a large set of different spanners optimised for different
    sizes? And answer the question not for a notional magic ideal case,
    but one using actual adjustable/static spanners available form the
    local ironmonger. The adjustable is the simplest and most elegant
    solution, people moving lots of nuts and bolts tend to prefer the other
    one though

    You're swimming against the tide here if you really believe what you
    have written. Over the last 100 years (or whatever) we have been
    redefining *international* standards of distance so that they all agree.
    The fact that we end up with a time unit which forces our day length to
    drift by a second every so many months (and so eg we have 7 pips not 6
    in the Greenwich Time Signal) is a consequence of this standardisation.
    And the metre is no longer defined as 10^-7 of the equatorial distance -
    it's not as convenient but in the interests of scientific accuracy we
    are used to it.

    --
    Bernard Hill
    Selkirk, Scotland

  13. Bernard Hill said:

    I don't follow that at all. The earth is an *oblate* spheroid (to one
    level of approximation) and so the n.m. to latitude-minute already
    varies depending on your latitude. Similarly metres to lat/long.

    So it's even worse! But at least if it was /just/ an oblate spheroid
    with an unarguable centre the effects would be systematic and easily
    predictable, but it doesn't even manage that.

    Quoted message said:
    Quoted message said:

    See the above example: what is the point of knowing that something is
    at x,y if you can't accurately say from that if x, y+1 is exactly 1
    unit away from it?

    Why can you not?

    Because the earth is an awkward shape and you're laying on a co-ordinate
    system that doesn't come up on the ground in nice regular places as is
    handy for them to do. Where does the next minute of latitude come up
    relative to this one I'm on? Will it be /exactly/ 1 Nautical Mile (as
    expressed as a constant in meters) due North or South? You can't tell
    me with your system.

    Quoted message said:

    You're swimming against the tide here if you really believe what you
    have written. Over the last 100 years (or whatever) we have been
    redefining *international* standards of distance so that they all agree.

    This is not actually relevant. A unit of distance is simply a set
    length: it is not job-specific at all. A co-ordinate system, on the
    other hand, is almost always job specific and the choice of system in
    use is determined by what will work best to describe the environment to
    hand. We'd be quite daft, for example, to use polar co-ordinates on
    something like a Landranger sheet, or to try and draw a wind-rose using
    Cartesians. That's why we use grids for Landrangers, and polars for
    wind roses.
    If I use a different unit to a meter for some reason it's just a simple
    scalar to change it to the standard unit, but co-ordinate systems don't
    work that neatly. They are chosen as suitable tools to describe certain
    environments they're particularly suited to.

    Remember, the co-ordinate systems used have been developed by scientists
    who (a) knew what they were doing and (b) know the ins and outs of
    what's needed and what breaks down and stands up much better than either
    of us. These people would like life to be as simple and refined as
    possible, just like you, but there are times when simplification makes
    something simplistic, rather than better.

    Pete.
    --
    Peter Clinch Medical Physics IT Officer
    Tel 44 1382 660111 ext. 33637 Univ. of Dundee, Ninewells Hospital
    Fax 44 1382 640177 Dundee DD1 9SY Scotland UK
    net [email hidden] http://www.dundee.ac.uk/~pjclinch/

  14. In article <[email hidden]>, Bernard Hill
    <[email hidden]> writes

    Quoted message said:

    The fact that we end up with a time unit which forces our day length to
    drift by a second every so many months (and so eg we have 7 pips not 6
    in the Greenwich Time Signal) is a consequence of this standardisation.

    The predominant reason for leap seconds is actually the slowing down of
    the earth's rotation not a difference between the standard second and
    the ephemeris second.

    Were the predominant factor the difference in seconds there would be a
    need for leap seconds at regular intervals. However there were eight in
    the 1990s and thus far we have only had one since the start of 2000.

    As the earths rotation is unpredictable far in advance leap seconds are
    decided upon less than a year in advance.

    For the background to leap seconds see:

    http://tycho.usno.navy.mil/leapsec.html

    --

    Dominic Sexton

  15. In article <[email hidden]>, Peter Clinch
    <[email hidden]> writes

    Quoted message said:
    Bernard Hill said:

    I don't follow that at all. The earth is an *oblate* spheroid (to one
    level of approximation) and so the n.m. to latitude-minute already
    varies depending on your latitude. Similarly metres to lat/long.

    So it's even worse! But at least if it was /just/ an oblate spheroid
    with an unarguable centre the effects would be systematic and easily
    predictable, but it doesn't even manage that.

    Quoted message said:


    Quoted message said:
    Quoted message said:

    See the above example: what is the point of knowing that something
    is at x,y if you can't accurately say from that if x, y+1 is exactly
    1 unit away from it?


    Why can you not?

    Because the earth is an awkward shape and you're laying on a
    co-ordinate system that doesn't come up on the ground in nice regular
    places as is handy for them to do. Where does the next minute of
    latitude come up relative to this one I'm on? Will it be /exactly/ 1
    Nautical Mile (as expressed as a constant in meters) due North or
    South? You can't tell me with your system.

    Quoted message said:

    You're swimming against the tide here if you really believe what you
    have written. Over the last 100 years (or whatever) we have been
    redefining *international* standards of distance so that they all agree.

    This is not actually relevant. A unit of distance is simply a set
    length: it is not job-specific at all. A co-ordinate system, on the
    other hand, is almost always job specific and the choice of system in
    use is determined by what will work best to describe the environment to
    hand. We'd be quite daft, for example, to use polar co-ordinates on
    something like a Landranger sheet, or to try and draw a wind-rose using
    Cartesians. That's why we use grids for Landrangers, and polars for
    wind roses.

    You are losing sight of my main point and knocking down straw men.

    I have never been opposed to local units. The OSGR is good for what it's
    good for, and I use it all the time. I suspect that other countries have
    their own good systems.

    My horror arose when someone said that there were several versions of
    latitude and longitude. For instance that the N pole is not 90°N in all
    systems.

    That's horrendous because in my book the N pole is *defined* as 90°N and
    similarly the equator and S pole. They (in my opinion) define the
    coordinate system for the earth and are the way in which we would
    compare for instance the movement of the UK islands and the N American
    mainland.

    Quoted message said:

    If I use a different unit to a meter for some reason it's just a simple
    scalar to change it to the standard unit, but co-ordinate systems don't
    work that neatly. They are chosen as suitable tools to describe
    certain environments they're particularly suited to.

    Remember, the co-ordinate systems used have been developed by
    scientists who (a) knew what they were doing and (b) know the ins and
    outs of what's needed and what breaks down and stands up much better
    than either of us. These people would like life to be as simple and
    refined as possible, just like you, but there are times when
    simplification makes something simplistic, rather than better.

    The coordinate systems evolved, just as the metre evolved. They were not
    designed with the knowledge which we have today... which is why the
    basic units of measurement were redefined by scientists.

    And to say the lat/long was "defined by scientists" is invidious because
    you have to ask "what scientists?" and "using what tools?". Modern tools
    are radically different. I strongly suspect that NASA know where the
    centroid of the earth is so that they can calculate the course for their
    unmanned spacecraft. In the same way as the metre, second, coulomb (etc)
    were put on a different footing only last century it's time we agreed on
    latitude and longitude: indeed I suspect that a system is already there
    which we can adopt. Star positions are quoted in Right Ascension and
    Declination - a different way of saying latitude and longitude, and
    stars are accurately recorded, in fact we measure movement.

    --
    Bernard Hill
    Chartered Scientist
    Chartered Mathematician
    Chartered IT Professional
    Selkirk, Scotland

  16. In article <[email hidden]>, Dominic Sexton
    <[email hidden]> writes

    Quoted message said:

    In article <[email hidden]>, Bernard
    Hill <[email hidden]> writes

    Quoted message said:

    The fact that we end up with a time unit which forces our day length
    to drift by a second every so many months (and so eg we have 7 pips
    not 6 in the Greenwich Time Signal) is a consequence of this
    standardisation.

    The predominant reason for leap seconds is actually the slowing down of
    the earth's rotation not a difference between the standard second and
    the ephemeris second.

    Were the predominant factor the difference in seconds there would be a
    need for leap seconds at regular intervals. However there were eight in
    the 1990s and thus far we have only had one since the start of 2000.

    As the earths rotation is unpredictable far in advance leap seconds are
    decided upon less than a year in advance.

    For the background to leap seconds see:

    http://tycho.usno.navy.mil/leapsec.html

    Thank you for that. However I don't think it's relevant to the
    discussion. My point is that in the interest of consistency and
    uniformity we have changed the definition of basic units, and that if we
    have many definitions of latitude and longitude then this is overdue for
    a change.

    --
    Bernard Hill
    Selkirk, Scotland

  17. Bernard Hill said:

    My horror arose when someone said that there were several versions of
    latitude and longitude. For instance that the N pole is not 90°N in all
    systems.

    That's horrendous because in my book the N pole is *defined* as 90°N and
    similarly the equator and S pole.

    But that's your book. Why should it be the same as everyone else's, if
    other people have a slightly different job in mind?

    Quoted message said:

    The coordinate systems evolved, just as the metre evolved. They were not
    designed with the knowledge which we have today... which is why the
    basic units of measurement were redefined by scientists.

    But the same scientists have *not* seen fit to propose an ISO
    co-ordinate system for planetary co-ordinate systems! The definitions
    of unit distances are not really the same thing at all as co-ordinate
    systems, which are a certain way of using measurements, not the
    measurements themselves.

    Quoted message said:

    And to say the lat/long was "defined by scientists" is invidious because
    you have to ask "what scientists?" and "using what tools?".

    The ones given the task of finding a way around a big ocean and getting
    back to where you came from, using whatever tools they could find or
    devise. What of it?

    Quoted message said:

    Modern tools
    are radically different. I strongly suspect that NASA know where the
    centroid of the earth is so that they can calculate the course for their
    unmanned spacecraft. In the same way as the metre, second, coulomb (etc)
    were put on a different footing only last century it's time we agreed on
    latitude and longitude:

    But to what end? As long as we know where we are using whatever datum
    we are using there is no need to create a "standard" lat/long. The
    nearest it's been to being agreed is WGS84, but as has been pointed out
    repeatedly, WGS84 is not all things to all men so there's no point in
    imposing it on those for whom that is the case. If you like to work in
    inches rather than meters you can, and it's just a scalar conversion to
    go to the formally defined measurement unit but it doesn't work anything
    like that with terrestrial co-ordinate systems, so the comparison to ISO
    fundamental units is irrelevant. If you have a co-ordinate system
    forced on you that doesn't work as you need it to you can't just
    multiply by a constant to make it all right.

    Quoted message said:

    indeed I suspect that a system is already there
    which we can adopt. Star positions are quoted in Right Ascension and
    Declination - a different way of saying latitude and longitude, and
    stars are accurately recorded, in fact we measure movement.

    They are recorded using a system developed for that specific use.
    Lat/long was itself developed for a specific use. Standardising it as
    an ISO fundamental does not make any real sense though.

    Pete.
    --
    Peter Clinch Medical Physics IT Officer
    Tel 44 1382 660111 ext. 33637 Univ. of Dundee, Ninewells Hospital
    Fax 44 1382 640177 Dundee DD1 9SY Scotland UK
    net [email hidden] http://www.dundee.ac.uk/~pjclinch/

  18. Bernard Hill said:

    Thank you for that. However I don't think it's relevant to the
    discussion. My point is that in the interest of consistency and
    uniformity we have changed the definition of basic units, and that if we
    have many definitions of latitude and longitude then this is overdue for
    a change.

    The difference between a cubit and a light year is just a scalar
    conversion though. Different co-ordinate systems work differently
    well for different situations. For example, if you want a good
    overall fit to the whole earth surface WGS84 is probably the best
    we have at present, but it isn't necessarily the best for localised
    portions, so in those areas you'd maybe be better off using
    something else. And something else would not be "WGS84 multiplied
    by constant scalar n". That is why there are, and continue to be,
    multiple datums.

    Pete.
    --
    Peter Clinch Medical Physics IT Officer
    Tel 44 1382 660111 ext. 33637 Univ. of Dundee, Ninewells Hospital
    Fax 44 1382 640177 Dundee DD1 9SY Scotland UK
    net [email hidden] http://www.dundee.ac.uk/~pjclinch/

  19. In article <[email hidden]>, Peter Clinch
    <[email hidden]> writes

    Quoted message said:
    Bernard Hill said:

    My horror arose when someone said that there were several versions of
    latitude and longitude. For instance that the N pole is not 90°N in
    all systems.
    That's horrendous because in my book the N pole is *defined* as 90°N
    and similarly the equator and S pole.

    But that's your book. Why should it be the same as everyone else's, if
    other people have a slightly different job in mind?

    You don't give up do you? <sigh>

    What do you think these "different jobs" could be? We've agreed that a
    local grid reference system is not what we are talking about, and "my
    book" is locked into an astronomical system, so what other job is there
    which needs Latitude and Longitude?

    Quoted message said:


    Quoted message said:

    The coordinate systems evolved, just as the metre evolved. They were
    not designed with the knowledge which we have today... which is why
    the basic units of measurement were redefined by scientists.

    But the same scientists have *not* seen fit to propose an ISO
    co-ordinate system for planetary co-ordinate systems!

    It wasn't their job of course.

    Quoted message said:

    The definitions of unit distances are not really the same thing at all
    as co-ordinate systems, which are a certain way of using measurements,
    not the measurements themselves.

    I agree they are not the same. But the principal of agreeing on stated
    values is identical for both. We no longer have "French metres" versus
    "British metres" so we should not have "French latitude" versus "British
    Latitude".

    Quoted message said:


    Quoted message said:

    And to say the lat/long was "defined by scientists" is invidious
    because you have to ask "what scientists?" and "using what tools?".

    The ones given the task of finding a way around a big ocean and getting
    back to where you came from, using whatever tools they could find or
    devise. What of it?

    Because modern tools are radically different... oh, I see I wrote it
    before and you missed it:

    Quoted message said:


    Quoted message said:

    Modern tools are radically different. I strongly suspect that NASA
    know where the centroid of the earth is so that they can calculate
    the course for their unmanned spacecraft. In the same way as the
    metre, second, coulomb (etc)
    were put on a different footing only last century it's time we agreed
    on latitude and longitude:

    But to what end? As long as we know where we are using whatever datum
    we are using there is no need to create a "standard" lat/long. The
    nearest it's been to being agreed is WGS84, but as has been pointed out
    repeatedly, WGS84 is not all things to all men so there's no point in
    imposing it on those for whom that is the case.

    No-one says it's all things to all men... that's why we have GR systems.
    How often do I have to clarify this?

    Quoted message said:

    If you like to work in inches rather than meters you can, and it's
    just a scalar conversion to go to the formally defined measurement unit
    but it doesn't work anything like that with terrestrial co-ordinate
    systems, so the comparison to ISO fundamental units is irrelevant. If
    you have a co-ordinate system forced on you that doesn't work as you
    need it to you can't just multiply by a constant to make it all right.

    In what sense does it "not work"?

    In any case it *is* easy to convert - I'm told that cheap GPS machines
    do it at a touch of a button, just as calculators do metres to inches at
    a touch of a button. It's only mathematics: lat and long are simply the
    same system with different zeroes so simple trig is all that's involved.

    Quoted message said:


    Quoted message said:

    indeed I suspect that a system is already there which we can adopt.
    Star positions are quoted in Right Ascension and Declination - a
    different way of saying latitude and longitude, and stars are
    accurately recorded, in fact we measure movement.

    They are recorded using a system developed for that specific use.
    Lat/long was itself developed for a specific use. Standardising it as
    an ISO fundamental does not make any real sense though.

    Obviously no sense to you, but to me it's an annoyance. Much the same as
    the US gallon versus UK gallon fools many motorists. There is no good
    reason for it when we can all quote in litres.

    I'm tired of saying the same things to you over and over. Can we agree
    not to continue this pointless thread?
    --
    Bernard Hill
    Selkirk, Scotland

  20. Bernard Hill said:

    You don't give up do you? <sigh>

    Or looking at it from the other way, nor do you...! ;-/

    We have a situation where there are numerous datums and no attempt at a
    single standard. Don't you think there might be a genuine reason for
    that state of affairs?

    Quoted message said:

    What do you think these "different jobs" could be?
    We've agreed that a
    local grid reference system is not what we are talking about, and "my
    book" is locked into an astronomical system, so what other job is there
    which needs Latitude and Longitude?

    Your "book" is locked on one of several possible astronomical systems
    that actually have different effects from one another for the job in
    hand. For example, your suggested definition of a centroid as halfway
    between the poles puts the equator in a different place to the greatest
    possible diameter line of latitude, which is actually more sensible from
    some points of view and would work better for many mapping purposes.
    OTOH, the direct centre of mass is probably going to be more useful for
    others. So you use the best one for the job at hand.

    Quoted message said:
    Quoted message said:

    But the same scientists have *not* seen fit to propose an ISO
    co-ordinate system for planetary co-ordinate systems!

    It wasn't their job of course.

    And they don't do it now, within the accepted scientific discipline of
    geodesy, where it /is/ their job *if it would make life easier for
    anyone, especially themselves*, because it won't actually help anyone much.

    Quoted message said:

    I agree they are not the same. But the principal of agreeing on stated
    values is identical for both. We no longer have "French metres" versus
    "British metres" so we should not have "French latitude" versus "British
    Latitude".

    We don't. We have functional definitions based on different functional
    datums. Where these are for local systems it makes good sense to have
    e.g. national datums like OSGB, but the point is it's really there for
    geographical information purposes, not "my absolute units are better
    than your absolute units" purposes.

    Quoted message said:

    Because modern tools are radically different... oh, I see I wrote it
    before and you missed it:

    No, I saw it, and pointed out it isn't relevant because you still use
    what works best in a given situation and that still means there's not a
    clear reason or place for an ISO geodetic single datum.

    Quoted message said:

    No-one says it's all things to all men... that's why we have GR systems.
    How often do I have to clarify this?

    Every time you say we really ought to have one and it's ridiculous that
    we don't.. You still haven't come up with why such a thing would be
    useful, aside from some vague notion of purity and we're having single
    values of distances, charges etc. quantified.

    Quoted message said:
    Quoted message said:

    If you like to work in inches rather than meters you can, and it's
    just a scalar conversion to go to the formally defined measurement
    unit but it doesn't work anything like that with terrestrial
    co-ordinate systems, so the comparison to ISO fundamental units is
    irrelevant. If you have a co-ordinate system forced on you that
    doesn't work as you need it to you can't just multiply by a constant
    to make it all right.

    In what sense does it "not work"?

    You didn't notice what was pointed out to you that different geometries
    used don't easily map onto one another?

    Quoted message said:

    In any case it *is* easy to convert - I'm told that cheap GPS machines
    do it at a touch of a button, just as calculators do metres to inches at
    a touch of a button. It's only mathematics: lat and long are simply the
    same system with different zeroes so simple trig is all that's involved.

    Not for an exact translation of one to the other. There are ambiguous
    points in some system conversions, for example. Doesn't really matter
    with GPS, it's within the accuracy of the unit anyway, but shouldn't an
    exact scientific system be exact?

    Quoted message said:

    Obviously no sense to you, but to me it's an annoyance. Much the same as
    the US gallon versus UK gallon fools many motorists. There is no good
    reason for it when we can all quote in litres.

    But they're just volume measurements and are used where their meaning is
    backed by familiarity with the units at hand. Ultimately a litre is no
    different from a gallon as far as gauging how much volume you have as
    long as you know how big it is. But with a co-ordinate system, if you
    want to stand on the equator and the system you use puts it in a
    different place to another, that is a clear and genuine difference. And
    that's more than just "an annoyance".

    Quoted message said:

    I'm tired of saying the same things to you over and over. Can we agree
    not to continue this pointless thread?

    Fine by me. Go away and read up on geodesy and then take it up directly
    with someone who works in the field professionally. They'll give you
    better, clearer answers than I've been able to. Remember, if it was
    clearly advantageous to come up with a single geodetic reference datum
    then someone would have done it, or at least proposed it, inside a
    specialised and important field of considerable importance to man.

    Pete.
    --
    Peter Clinch Medical Physics IT Officer
    Tel 44 1382 660111 ext. 33637 Univ. of Dundee, Ninewells Hospital
    Fax 44 1382 640177 Dundee DD1 9SY Scotland UK
    net [email hidden] http://www.dundee.ac.uk/~pjclinch/

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