Jump to content

math


sinemora

Recommended Posts

Posted

If I have a known point, then have a direction in degrees minus declination and a distance, how do I find the grid or new coord's? I think there is a formula but I can't recall it. Any help would help. -SineMora- icon_confused.gif

Posted

I think you're looking for the "great circle" formula. There's another (supposedly easier?) way to do it, but I can't recall the name right now.

 

--

Pehmva!

 

Random quote:

sigimage.php

Posted

quote:
Originally posted by -SineMora-:

If I have a known point, then have a direction in degrees minus declination and a distance, how do I find the grid or new coord's? I think there is a formula but I can't recall it.


 

The answer depends on a lot of things. Do you want an accurate result, or are you willing to approximate the Earth as a sphere? For magnetic headings of relatively short distances (less than 1 km or so) then the spherical approximation is probably OK, and there is a formula, which you can find at the Aviation Formulary.

 

For accurate calculations using the ellipsoidal model of the Earth, there is no closed-form equation. The calculations are done iteratively. You can try my program GeoCalc, which does those calculations.

Posted

Since the probability that you do have access to a GPS unit is high, considering that you are writing in this forum, you have an excellent tool there.

The GPS can be used as a calculation device too, for solving problems like this.

Enter the coordinates of the known point as a waypoint. Then project a new waypoint in the desired direction, at the distance in question, and it will calculate the new position for you.

 

Anders

Posted

quote:
Enter the coordinates of the known point as a waypoint. Then project a new waypoint in the desired direction, at the distance in question, and it will calculate the new position for you.


 

I don't know 'bout other GPSr's,

but

the SporTrack does that: go to the position screen,

then menu

next choose "projection"

fill in the distance and degrees (angle)

and the answer comes as a projected waypoint.

Posted

assuming "declination" means magnetic declination and "direction in degrees minus declination" means true bearing...

 

delta x = r cos theta

delta y = r sin theta

 

latitude scales constantly to distance

 

longitude scales to distance as the cosine of latitude

 

hth

 

____________________________

- Team Og Rof A Klaw

All who wander are not lost.

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.
Note: Your post will require moderator approval before it will be visible.

Guest
Reply to this topic...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.

Loading...
×
×
  • Create New...