Triangles
Author
Discussion

Vipers

Original Poster:

33,501 posts

257 months

Sunday 4th October 2009
quotequote all
I can never find the lounge site, anyway, quick question, so not a long drawn out post.

My satelite dish broke one of its mountings last night in the wind, so one side sort of sprung out, altering the angle of the dish, result, no signal.

In anticpiation of the return of Fringe tonight, I managed to wire it back and it works fine.

Trying to explain to the OH how much the dish would be out of alingment if it was altered by as much as 2 degrees, I couldnt remember the formula, ie at the satelite distance, could be pointing at a point miles away from it.

Question, given that the satelites are around 20,000 miles away from earth, (I think), how much of an offset would 2 degrees be at that distance, ie by how much would it be missing the satelite? I am sure one of our knoweldable readers knows the answer, and maybe the formula. tks guys.

smile

KB_S1

5,967 posts

258 months

Sunday 4th October 2009
quotequote all
Assuming 20000 miles it will be about 700 miles out.

Vipers

Original Poster:

33,501 posts

257 months

Sunday 4th October 2009
quotequote all
Tks for that.

smile

GTIR

24,741 posts

295 months

Sunday 4th October 2009
quotequote all
Is this just a random guess thread?

3000 miles up + 20% out by degree + taking into account latitude offsett, I would say it's out by only about 20 feet. Out. Parabolic dishes have tangentel alteration built into the set up meaning you can have a degree offsett of around 10% before signal clarity is effected.

smile





Some of the above may not be true.

scratchchin

None of the above is true

KB_S1

5,967 posts

258 months

Sunday 4th October 2009
quotequote all
GTIR said:
Is this just a random guess thread?

3000 miles up + 20% out by degree + taking into account latitude offsett, I would say it's out by only about 20 feet. Out. Parabolic dishes have tangentel alteration built into the set up meaning you can have a degree offsett of around 10% before signal clarity is effected.

smile





Some of the above may not be true.

scratchchin

None of the above is true
I was simply calculating a triangle.
I have no idea of the actual tangental range of satellite dishes.

The calculation I made and the answer I gave was for the centre focus point. Just a triangle calculation.

SimonV8ster

13,003 posts

257 months

Sunday 4th October 2009
quotequote all
Did you take into account the curvature of the earth ?

BigBen

12,155 posts

259 months

Sunday 4th October 2009
quotequote all
You can be several degrees out before it stops working. The satellite's signal is not a straight 'beam' to your house it is more like a torch light with a footprint covering most of Europe, the dish being parabolic also focusses the received signal even if not quite aligned (left to right is the more critical, up and down less so iirc.)

Cheers

Ben

TotalControl

8,307 posts

227 months

Sunday 4th October 2009
quotequote all
BigBen said:
You can be several degrees out before it stops working. The satellite's signal is not a straight 'beam' to your house it is more like a torch light with a footprint covering most of Europe, the dish being parabolic also focusses the received signal even if not quite aligned (left to right is the more critical, up and down less so iirc.)

Cheers

Ben
This is what we went by when I worked as a sub contractor for sky. There was a bit of movement allowed for the dishes before signal strength and quality were affected. IIRC it was about 3 degrees each side before quality was lost and 5/6 for strength. The signal from Sky is only 80Hz after all.

Mars

10,104 posts

243 months

Sunday 4th October 2009
quotequote all
Geostationary satellites orbit at an altitude of 35,786Km or 22,236miles above sea level (at the equator - pretty sure you know this).

The available real estate might seem pretty large but some satellites are only 1/10th of a degree apart, although in reality this represents 736Km or 457miles.

And although the footprint of a satellite might cover the whole of the UK (for example) at your fixed point within that footprint, you need to have your dish aligned to point at that teeny tiny satellite, not at an area the size of its footprint (does that make sense?).

BigBen

12,155 posts

259 months

Monday 5th October 2009
quotequote all
Mars said:
Geostationary satellites orbit at an altitude of 35,786Km or 22,236miles above sea level (at the equator - pretty sure you know this).

The available real estate might seem pretty large but some satellites are only 1/10th of a degree apart, although in reality this represents 736Km or 457miles.

And although the footprint of a satellite might cover the whole of the UK (for example) at your fixed point within that footprint, you need to have your dish aligned to point at that teeny tiny satellite, not at an area the size of its footprint (does that make sense?).
Yes it does, I don't think I was clear in my explanation. You need to have it lined up but not as accurately as if the signal was a length of string from the satellite to your dish was what I was trying to say.

Gretchen

19,786 posts

245 months

Monday 5th October 2009
quotequote all
SimonV8ster said:
Did you take into account the curvature of the earth ?
And the speed of the conveyor belt.


This thread is ace.

sherman

15,222 posts

244 months

Monday 5th October 2009
quotequote all
Gretchen said:
SimonV8ster said:
Did you take into account the curvature of the earth ?
And the speed of the conveyor belt.


This thread is ace.
The conveyor belt is not moving in any direction as you are searching from a fixed point on the earths surface.

GravelBen

16,494 posts

259 months

Monday 5th October 2009
quotequote all
Spherical triangles?


hehe

mrmr96

13,736 posts

233 months

Monday 5th October 2009
quotequote all
Remember "SOH CAH TOA"
Sin(x)=op/hyp
Cos(x)=adj/hyp
Tan(x)=op/adj
Where there is a right angle triangle with an angle x (not 90 degrees). The side opposite angle x is the opposite (op) the one between x and the 90' corner is the adjacent (adj) and the longest side (opposite the right angle) is the hypotenuse (hyp).

In the original question:
The angle of 2 degrees is x, and this is the angle the dish deflects.
The length from earth to satellite is either adj or hyp as you can put the satellite at the 90' angle corner, or the other corner. With an angle as shallow as 2 degrees the hyp and adj are almost the same lenght.
The displacement of sattelite is op.

So we can use Sin or Tan.
Sin(2)=Disp/22,000, so Disp=22,000 * Sin(2 )= 767 miles
or
Tax(x)=Disp/22,000, so Disp=22,000 * Tan(2) = 768 miles

cazzer

8,883 posts

277 months

Monday 5th October 2009
quotequote all
mrmr96 said:
Remember "SOH CAH TOA"
Some Old Hags Carry A Huge Tub Of Ale.

GravelBen

16,494 posts

259 months

Monday 5th October 2009
quotequote all
They get more interesting when the internal angles don't add up to 180°

wink

Vipers

Original Poster:

33,501 posts

257 months

Monday 5th October 2009
quotequote all
Anyway, the tempory fix held out, sadly Fringe was crap, new dish coming today. At least I got some brownie points from the OH as she could watch her Sky channels as well. Not that she has taste of course when it comes to watching stuff on telly.

smile

Evangelion

8,645 posts

207 months

Monday 5th October 2009
quotequote all
No wonder I failed my Maths A Level - I thought Sohcahtoa was a Japanese martial art.

Stu R

21,638 posts

244 months

Monday 5th October 2009
quotequote all
Evangelion said:
No wonder I failed my Maths A Level - I thought Sohcahtoa was a Japanese martial art.
ken dodd just called, he wants his joke book back hehe

mrmr96

13,736 posts

233 months

Monday 5th October 2009
quotequote all
GravelBen said:
They get more interesting when the internal angles don't add up to 180°

wink
They aren't really triangles then though, are they? (3 sides, yes. Triangle, no.)