Converting Longitude and Latitude into Meters

  • Context: Undergrad 
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Discussion Overview

The discussion revolves around converting latitude and longitude coordinates into meters (x, y) for practical applications, particularly in the context of autonomous robotics. Participants explore different methods and equations, including the Universal Transverse Mercator (UTM) system and local coordinate transformations.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant expresses confusion about the UTM equations and seeks assistance in understanding them.
  • Another participant questions the required accuracy and suggests that for small areas, a flat Earth approximation might suffice by using nearby latitude and longitude points for calculations.
  • A participant specifies that the application is for an autonomous robot, emphasizing the need for high precision (within a few meters) when converting coordinates to facilitate navigation.
  • A later reply provides a formula for local coordinate transformation, suggesting the use of a chosen origin point and equations for calculating x and y based on changes in latitude and longitude.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the best method for conversion, with differing opinions on the necessity of accuracy and the appropriateness of various approaches.

Contextual Notes

Limitations include potential inaccuracies in the flat Earth approximation for larger areas and the complexity of UTM equations that may not be fully addressed in the discussion.

Who May Find This Useful

Individuals interested in geographic coordinate conversion, particularly in robotics, navigation, or geographic information systems (GIS).

Solistics
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Hi, I'm trying to convert latitude and longitude into meters (x,y). I was thinking of UTM however I don't understand the equations as the ones I've seen just go on forever. Could someone help me understand how to use these equations?

heres the website that I've been trying to understand: http://www.uwgb.edu/dutchs/UsefulData/UTMFormulas.HTM

Thanks
 
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How accurately do you need to do it and over what area?
It may be enough to just use the X,Y position (in your chosen coord system) of a nearby lat/long point and just do differences from there assuming the Earth is flat
 
The area is fairly small as I'm using this for an autonomous robot application so the accuracy I'm trying to reach is as presice as I can (a few meters). I'm giving it points that it has to go to and it has a GPS to give it longitude and Latitude. By converting longitude and latitude to meters would make my life a lot easier to work.
 
Choose a latitude \phi_0 and longitude \theta_0 as the origin of your local coordinate system, then

y = R \; \Delta \phi
and
x = R \; \Delta \theta \; \cos(\phi_0)

where R = the radius of the Earth in your chosen units, with latitude and longitude in radians.
 

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