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Ground Latitude & Space latitude

02/27/2008 11:44 PM

Hi Everybody..

For quite sometime i have been working on GIS domains, recently i had a genuine doubt, on ground lat/lon and space lat/lon..

i mean if we are standing on a point A on the ground, if i climb a ladder which is placed @ 90 degree angle and the height is 20 feet.

My Question is whether the ground lat/long is equal to the space lat/long. make sense

cheers!!!!

Selvan..

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#1

Re: Ground Latitude & Space latitude

02/28/2008 12:36 AM

Hello kalai.selvan

Because both ground level latitude and longitude are at given angles through the centre of the planet, from a reference point, in theory it gives no difference how tall your ladder/building or standing point is, the angle is the same, because you are on a point with a larger sphere.

So, to explain, a spherical balloon has 360 degrees of latitude, and also longitude, from any reference point.

It we determine a second reference point to be the circumference = the "equator" of the spherical balloon, and at right angles to that "equator" we now have a second reference point, then it does not matter how large the balloon becomes, (unless it bursts), the result is still the same.

There is an associated problem when designing very long buildings with tall columns.

The building must be designed with earth curvature in mind, or the columns will be splayed outwards at the tops, if perpendicularity is measured with a "plumb-bob", and on a larger and larger basis, the further apart the two columns actually are placed.

I trust you see it more clearly now.

Kind Regards....

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#2
In reply to #1

Re: Ground Latitude & Space latitude

02/28/2008 1:16 AM

Hi Sparkstation,

Very Good explaination, conclusion from a point in ground to 90 deg 200meters high the lat/long is same.

Cheers!!

Kalai Selvan..

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#3
In reply to #1

Re: Ground Latitude & Space latitude

02/28/2008 4:32 AM

<....very long buildings with tall columns....The building must be designed with earth curvature in mind, or the columns will be splayed outwards at the tops, if perpendicularity is measured with a "plumb-bob", and on a larger and larger basis, the further apart the two columns actually are placed....>

According to legend, the Severn Road Bridge's two main piers are about 50mm further away from each other at the top than they are at the bottom. http://en.wikipedia.org/wiki/Severn_Bridge

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#4

Re: Ground Latitude & Space latitude

02/29/2008 12:40 AM

The ladder example is all well and good, just don't forget to pay the ladder-tax.

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#5
In reply to #4

Re: Ground Latitude & Space latitude

02/29/2008 12:53 AM

That was pretty IT related answer, not something related to my post. anyway thanks

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#6

Re: Ground Latitude & Space latitude

02/29/2008 1:14 AM

It is important to remember that the earth is not a perfect sphere. Its shape is closer to that of an oblate spheroid. Due to the earth's rotation, there is a flattening at the poles and bulge near the equator. For satellites at high altitudes, this effect is quite noticeable. There is a significant error when using spherical coordinates to describe a satellite's location in space projected on the surface of the earth. To calculate an accurate "ground track" you must convert to oblate spheroidical coordinates. Conversions from oblate spheroidical to spherical coordinates shouldn't be too hard to find online.

This might help.

http://en.wikipedia.org/wiki/Oblate_spheroidal_coordinates

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#7
In reply to #6

Re: Ground Latitude & Space latitude

02/29/2008 1:22 AM

That was a good tip..

thanks

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#8

Re: Ground Latitude & Space latitude

02/29/2008 8:18 AM

To answer your question specifically, and without getting into deep math...

Picture yourself trying to cut good old earth into two equal hemispheres at the equator. But before doing this you first increase the earth's radius by a certain "Δ". Now start cutting the earth at the new higher and longer equator... After cutting through the "Δ" you will start cutting through the original equator.... Gotcha?

Wangito

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#9
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Re: Ground Latitude & Space latitude

02/29/2008 8:27 AM

Good!!!

Cheeers!!!

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#10

Re: Ground Latitude & Space latitude

02/29/2008 12:35 PM

I'm finding the explanations more confusing than the reality. If latitude and longitude are based on the angles between lines and planes going through the centre of the sphere, why do we need to take the ground or the shape of the spheroid into account when determining our latitude? Are people merely trying to warn that local or gravitational 'vertical' does not generally go through the centre of the Earth, particularly if you include the effect of centripetal acceleration in your definition of vertical?
If so, it seems a strange way of saying that "you need to take into account your height and the local gravitational direction when determining the coordinates of the ground beneath you".

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#11
In reply to #10

Re: Ground Latitude & Space latitude

02/29/2008 4:30 PM

Hello Guest,

We don't need to <"take the ground or the shape of the spheroid into account when determining our latitude...">

The latitude/longitude remains the same.

In my earlier post, I mentioned the "long building problem", and how earth's curvature needs to be taken into account.

I'm talking there about a building a mile in length or more.

In a building, the columns should be vertical, otherwise there is a tendency for them to fall over, once the centre of gravity is outside the base. Unless there is extra support given, the object, (column in this case), must fall.

In a tall narrow column, if there is even a small "inclination" or "leaning" away from the vertical, the column will fall, unless supported.

You can note this effect easily: try and stand a pencil on the pointed end, and you find it is not easy for the pencil to remain standing (If you ever get it to actually stand on the point, without extra support).

But if you have a level flat surface, such as a strong non-shaking table, you may be able to get the pencil to stand for a while upon the end which was sawn flat by the pencil maker.

Remember when an object "falls" that it does not "fall" all the way to the ground.

The Law of Gravitation shows that the Earth also moves towards the apple, as the apple moves ("falls") from the tree towards the ground.

In fact the gravitational field of the apple extends to the far edges of the created Universe, (Every object attracts every other object), but gets weaker with distance, so is not normally taken into the calculations, as the apple has small mass, compared with planets, stars, galaxies and such.

Because the movement of each is "Inversely proportional to the mass of the objects", also distance between the objects, we can say, and see, that the "falling" Earth moves very little, and the "falling" apple most of the distance.

So, the columns in the large building are made vertical, so they are stronger that way, less tendency to fall.

You do not need mathematics to understand this, because it may be reasoned out, as Isaac Newton suddenly understood years ago.

Please realise I am not sneering at mathematics, because the basics are easily understood, mathematics make for the actual calculated effects, so we can learn in numerical terms, and apply learning from the bridge erection job, to help us design the next major construction job.

Engineering does certainly require mathematics, but you do not need mathematics to understand basic principles.

EXAMPLE:

If you get a round orange, and stick some toothpicks at right angles to the orange surface into it, you will see the effect of distance around a spherical curve, along the surface of the orange, upon columns, as the toothpicks diverge (become further apart at the outside (prickly) ends).

We do not otherwise have to take the ground shape, or know the oblate spheroid shape of the Earth, because they have nothing to do with the angle of latitude or longitude.

As mentioned before, very tall towers, such as used on suspension bridges, and the towers are far apart, need to be vertical, and as the toothpick/orange example shows, the tops of the columns are further apart than the bases, if a line is run through the column centres vertically.

But, the tower columns bases and tops have exactly the same latitude and longitude.

Refer to those toothpicks and orange, and you should clearly see this.

Trust that clarifies it for you.

Advise here if you're still wondering about it.

Kind Regards....

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#12
In reply to #11

Re: Ground Latitude & Space latitude

02/29/2008 5:12 PM

"We don't need to <"take the ground or the shape of the spheroid into account when determining our latitude...">" Well, I'm glad you and I are in agreement on that one - it certainly doesn't align with the implications of some of the other contributions (though the apparent implication may not have been what was intended. (Hopefully it will go in with my name this time

The remainder of your comment is fun, but could be more confusing than helpful unless taken in that vein. The following are to be seen in that light:

For the ultimate reason you could never balance a pencil on its point see this. Of course, practical life is going to be worse - shaking hands, moving air, thermal vibrations are some.

I don't have a problem standing a pencil on the flattened end; however, one jolt and it's over.

Now, suppose you flatten the tip over a diameter of 100-um (4-mils US), and make up a jig to balance the pencil it under specially controlled conditions, both the placement and the alignment of the 'flat' will have to be within 1-minute of arc - and it's not even likely that the centre of gravity is all that near the centre of the cylinder in the first instance.

Your thought experiment that the Earth always moves towards the apple has one very slight flaw - there are so many other effects on the Earth that are changing and are larger than the apple that the probability of the apple falling all the way to the original position of the ground** must be vanishingly close to 50%. I'm not certain I'd go with the term "created" either - but that's more a matter of taste than conviction.
** relative to what would have appeared stationary to the apple before release

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#13
In reply to #11

Re: Ground Latitude & Space latitude

03/01/2008 2:26 AM

OK. I got my Fuji, and I'm moving all of us to Andromeda!

It's supposed to be a much nicer galaxy. Affordable rent and plenty of job opportunities as tentacle cleaners.

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#14
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Re: Ground Latitude & Space latitude

03/01/2008 2:39 AM

Ooh my ?.

My ? is taking a huge cross sections, its very simple ?. A person standing in point "A"

Moves up from the same spot straight 90deg 20 feet, the lat/long will remain the same,only the altitude differs. Eg. 0,0 is my original position, my new spot will be 0,0,20 feet msl. Does someone have to say anything..this is the answer that i learnt after referring many articles. and i was only expecting answer of this sort from the list.

Whereas its very complex explanation and words of war are taking place.

Thanks anyway.

i have a satisfactory answer now..

Cheers!!!

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#15
In reply to #14

Re: Ground Latitude & Space latitude

03/01/2008 2:52 AM

Wait! Come back! We're not finished tormenting you!!!

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#18
In reply to #14

Re: Ground Latitude & Space latitude

03/01/2008 12:45 PM

Up?? Neither vertically under gravity, nor perpendicular to the surface, but along a radius through the exact centre of the spinning Earth. For ultimate accuracy, you need to decide which time-frame you are working in - as you will be moving at a different speed from the surface.

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#16
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Re: Ground Latitude & Space latitude

03/01/2008 4:06 AM

A major aspect of bridge building is keeping the thing supported as it's built. Until the 2 sides meet in the middle it doesn't have full strength. Towers on a suspension bridge don't have to be vertical, so long as you can actually erect them and direct thrust throught the angle of incline.

Good anchorage helps !

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#17
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Re: Ground Latitude & Space latitude

03/01/2008 4:29 AM

Hello Kris

Nice photos, thanks.

<"Good anchorage helps !">

That is useful for the nautical trade, too.

Kind Regards....

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#19
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Re: Ground Latitude & Space latitude

03/01/2008 12:46 PM

Surely that is not in Alsaka?

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#20
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Re: Ground Latitude & Space latitude

03/01/2008 12:48 PM

Even I rejected that as too much of a 'groaner' !

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#21
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Re: Ground Latitude & Space latitude

03/01/2008 1:44 PM

Do you mean "uncool"?

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#22
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Re: Ground Latitude & Space latitude

03/02/2008 12:38 AM

No, just half-baked. Relax - the people of the great land of Alaska will probably hunt me down first !

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#23
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Re: Ground Latitude & Space latitude

03/02/2008 3:47 AM

My above was an example of a groaningly bad joke, based on word play. It's pretty convoluted to get from Anchorage, to cool, to Baked Alaska ! Your input is always cool, but not in an Alaskan sense.

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#24
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Re: Ground Latitude & Space latitude

03/02/2008 5:15 AM

Hello Kris

I often think how fortunate that Russia sold Alaska to the US for $6,000,000 at the time the sale went through.

It was the bargain of bargains, I'm sure you would agree.

Have the rest of this baked alaska I just took a piece for my supper.

Cheers from far away, and Kind Regards....

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#25
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Re: Ground Latitude & Space latitude

03/02/2008 6:26 AM

That certainly was a good buy, although it could be argued that it wasn't Russias to sell in the first place ! I'm sure that Britain and many other countries have sold land when they have questionable ownership. Oh no, I feel myself slipping into another self-build hole !

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#26
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Re: Ground Latitude & Space latitude

03/02/2008 3:07 PM

Hello Kris

Just shows how sometimes the memory banks slip a gear.

I remember now that purchase price of $7,200,000, and apologise for misstating it at the $6,000,000 in my earlier Post.

Perhaps I ate too much baked Alaska, and the blood sugar level increased too fast, so I was in a mentally fizzing state.

The folding shovels are one for each hand, so you may dig yourself out of that hole....

Kind Regards....

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#27
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Re: Ground Latitude & Space latitude

03/03/2008 2:15 AM

No problem Sparky - I do minor typas all the time. Cross-checking bit's of info helps to spread knowledge etc.

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#28
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Re: Ground Latitude & Space latitude

03/03/2008 2:50 AM

Now "typas" that's one of those diseases spread by flies and dead bodies, isn't it?

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#29
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Re: Ground Latitude & Space latitude

03/03/2008 3:07 AM

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#30
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Re: Ground Latitude & Space latitude

03/03/2008 3:16 AM

Another failed picture... What are you doing wrong?

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#31
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Re: Ground Latitude & Space latitude

03/03/2008 3:50 AM

Cut'n'paste syndrom. Mark (mgaulin) metioned before that the system doesn't like it. Security and stuff like that. Indulge me whilst I experiment with long hand.......

That better !

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#32
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Re: Ground Latitude & Space latitude

03/03/2008 6:03 AM

Without posting the calculations (posting equations to CR4 is a bloody nightmare) the sort of splaying you would get in the columns of a skyscraper that has a base 100 m by 100 m and height of 450 m is about 684 μm

That is a bit over half a millimeter and even the best skyscraper construction techniques wouldn't come anywhere near being that accurate.

However, if you stand at the base of the outer columns on most if not all skyscrapers you will see a far more pronounced tapering of the columns. As you go from floor to floor in a building the amount of material above you decreases and therefore the weight any columns need to support decreases. As a result engineers reduce the cross sectional area of the columns as you get higher up the building. This form of tapering is far in excess of the half millimeter splaying that the curvature of the Earth would produce.

While in theory it would be possible to measure the splaying due to the curvature of the Earth in practice it would inconsequential and completely overwhelmed by the reduced cross sectional area and bowing of the structure due to wind and temperature differentials.

By the way, as far as I know there are no buildings in existence that are even close to 1,608 m (5,280 feet or 1 mile) high as measured from the ground to their top even when you count the spires or lightning conductors on the top.

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