Connection between GPS coordinates and local coordinates.

You need a point in the local system that has a known UTM coordinate. Without that you only have 2 coordinate systems that have no relationship to each other.

Use the Cogo functions in the TSC7

You want to 'Compute a point' by 'Bearing and Dist'

Select your point

Key in the bearing and distance

Formatting the bearing value can be a pain, but if you set the job units up right - see the Job Properties - you can key it directly.

There is also a calculator available for conversions etc - check the triangle menu on the fields

I have a point in the local system. It has known UTM coordinates, but local coordinates can be any. Let's say (0,0).

Thank you.

TSC7 is a pain point as I rent it.

Do not use 0,0 for any local point. That will send you into all four quadrants with positive and negative coordinates.

There are a number of ways to relate the coordinates but why bother, find your UTM number and stick with them, move your figure calculated in autocad to the UTM position. The command is M. All you need to do after that is figure out the rotation from your calculated figure to UTM grid. Depending were you are in the zone it can be a minimal rotation or a multiple degree rotation. That can be easily figured out in Trimble for an astronomic to grid rotation, but when you locate actual monuments it will probably be slightly different. Keep your figure as a block, you can even copy, it move it, block it and wait until your rotation information is determined before exploding it.

As far as new coordinates from a position it's a simple formula:

If you have a calculator for the above example it's

easting=605605.481-(sin of bearing x 3909.08)=601730.683

northing=5344222.851+(cos of bearing x 3909.08)=5344739.420

Checkbook math. If you want to dig deep into UTM you will need to geodetically calculate latitudes and longitudes forward and then convert to UTM, but that's not necessary for small projects like this one.

You can set your UTM zone in Autocad and then you will have lats, longs, Northings, Eastings, all available in Autocad and Trimble. Makes for easy checks between the databases.

Be careful here. Are the coordinates that you gave us UTM or local coordinates? If the coordinates are UTM and the bearing and distance are on a local coordinate system, then calculating the the coordinates of Point# 40 can't be done from the given information.

Is that why you asked the original coordinate conversion question?

I gave UTM coordinates initially and this was exactly the nature of my question. How to calculate UTM coordinates of the point #40 using local distance and bearing?

Thanks a lot for lot of info. Trigonometry is easy. I feel like whatever I do, I will have to dig around a while before I find something.

I have R12i in possession now but lack of experience of working with it. AutoCAD is way easy. Not sure about the trsult now. I will keep you posted.

Thanks again.

I need #40 coordinates to find it in forest.

cosAZ x DIST = ΔNorthing

sinAZ x DIST = ΔEasting

the AZimuth that corresponds to a bearing of N82°24'23"W is 277°35'37"

To calculate it correctly you need to have the rotation between your local system and UTM.

Here is pt 40 and the rotation to geodetic north (astronomic hopefully).

@mightymoe Hi, could you repeat what you have attached, please? After the forum had been modified, all visual content disappeared.

"point #40"?? What about the other 39?
"I have a point in the local system. It has known UTM coordinates..."
Can you post what you've got? Maybe use WeTransfer, DropBox, or similar.
Dave

I believe this is the case brought up several weeks ago involving the attempt to find some property in an area of Ontario with virtually no population for miles.  The Point #40 appeared on some map of the area that was created many years ago.  The original poster has information from a relatively new source, but, it lacks a basis of bearings.

Is there a way to merge these two pieces of information?

Here it is again, zone 17 north in metric. 

Rotation 1d03'42"

Should get you kinda close to an old astro north bearing from your UTM Az.

When I plot those UTM coords in Google Earth and again in my Garmin I get zone 18 not 17. I am going to make an assumption here that the coords are grid and "local coord system" means the bearings are based on true north and the distances are ground. Corpscon v6 says that at the given coord the convergence angle is +1-03-40 where + means clockwise from true north to grid and the combo factor is 0.9997166. Then N 82-24-23 W +1-03-40 (or clockwise) = N 81-20-43 W (grid bearing) and 3909.080m x 0.9997166 = 3907.972m grid. That gives a grid UTM coord for #40 of North 5344810.921 and East 601742.009 to put into the controller. Also make sure to use a scale factor of 1 in the controller and the R12i to measure in grid.