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Capturing Lat-Long
Coordinates
Chattahoochee River Odyssey
Chattahoochee Bend State Park
Capturing Lat-Long Coordinates: CBSP
• Goals
• Mission
• Route Planning Process
• Base Map Characteristics
• Lat-Long Capture Tools & Methods
• Worksheet Assignment Completion
Goals
• Complete Global Positioning System receiver (GPSr) requirements
• Camping Merit Badge
• 1st Class
• Geocaching Merit Badge
• Know How to Create a Route to a Campsite
• Starting & End Points
• Trail Junctions
• Trails, Rivers, Roads
• Man-Made Permanent Structures
• Buildings, Foot Bridges
• Use a Topographical Map
Presentation Goal
• Help Parents Understand the Background Behind Measurement Tools
• Avoids using tools without understanding why they work
• Avoids using tools without understanding what the results mean
• Help Parents Help Their Scouts with Worksheet Assignment
• Scouts in 6th grade not familiar with cartesian coordinate system
• (x,y) coordinates from basic algebra course
• May not familiar with any coordinate system
• Work with Scouts to figure out first 3 waypoints to get the hang of it
• Show how to use the Corner Tool when the easier Grid Tool doesn’t work
• Be their cheerleader!
Assignment: Find Lat-Long for 14 Waypoints
• Using the CBSP Odyssey map and both tools provide find and record
Lat-Long coordinates in DD˚ MM.mm format for 14 of 19 Waypoints
Latitude Longitude
Boldly Go!
• This assignment is about capturing Lat-Long coordinates for
waypoints on a trail to put into a GPS receiver
• The goal is to use the tools to capture Waypoints from the map
• This background information is largely irrelevant for doing it
• It helps make sense of the measurements made (answers Why?)
• Ultimately, eventually Scouts need to understand this to stay found
• On this trip, if they understand a route is needed with waypoints along the
way to get from their starting point to their destination, it’s enough!
• Several other opportunities will arise to practice
• Next opportunity is Troop backpacking trip in October (5 weeks from this trip)
Mission: Use a GPSr to Get to Camp
• From CBSP Boat Ramp, Hike to North Platform Campground by 1700
• Process
• Find a trail to get there
• If possible, make or find GPS Route of the trail
• Identify permanent features along the trail for use as Waypoints
• Capture Lat-Long coordinates for each Waypoint
• Load each Waypoint into a GPSr
• Add Waypoints to the Route
• Follow Route to Camp
Mission Impossible: How Not to Use GPSr
• Load Campground Waypoint in GPSr, then take off along the trail from
the boat ramp, especially without a GPS route or a map
• Before GPS, hikers used trail maps with recognizable features
• Length of trail determined
• Expected rate of travel used to determine time of arrival
• Collection points (things to find along the way) chosen before starting out
• Thumbing used to keep take of location
• Compass used to periodically confirm position and direction of travel
• Time monitored to assess progress
Properly used, a GPSr automates many of these functions
Length of Trail Determined
• Procedure
• Determine start and end points
• Find the distance scale on the map
• Lay a thread on the trail, from beginning to end
• Stretch out thread
• Use scale to measure length
• Automation w GPSr
• Load route into GPSr with a *.gpx file
• Get one from a previous traveler or Make one with “My Google Maps”
• Collect route by walking it using traditional land navigation methods
• Trail length computed by GPSr
Determine Time of Arrival
• Procedure
• Establish start time
• Using a rate of travel (between 1-2 mph) with Distance = Rate x Time formula
• Calculate travel time (Distance and rate are known)
• Add time to start time
• Note: Use a rate of travel that includes breaks, etc.
• Skipper uses 1 mph
• Automation w GPSr
• GPSr uses current location and historical rate travel on the route to estimate
Collection Points
• Procedure
• Collection points are identifiable locations to pass along the way
• Trail crossings: Other trails, road, utility lines, rivers & creeks
• Distinguishable landmarks: Boulder fields, buildings, hills, ditches
• When planning the route, collection points are determined
• Used as last-known-good points to get back to when lost
• Automation w GPSr
• Collection points are converted to waypoints loaded in GPSr
Thumbing
• Procedure
• Thumbing is keeping track of where you are with thumb on map whole way
• Requires keeping map out, updating where you are while moving
• Typically, not doing this is the major reason for getting lost
• Automation w GPSr
• GPSr keeps track of where you’ve been and where you’re going
• Better GPSrs have embedded maps to show terrain relative to location
Compass Use
• Procedure
• Arguably unnecessary unless lost
• Thumbing and keeping the map oriented is the preferred way to travel
• Used to orient map when the terrain is featureless (everything looks to same)
• Ex. Heavily forested area, desert
• Best use is going cross-country (not using trails, roads, creeks, or other handrails)
• Be sure to adjust for declination (aka variation in nautical world)
• Can be used to figure out which way to turn
• Automation w GPSr
• GPSr keeps terrain map oriented
• Better GPSrs have built-in compass, in both True and Magnetic
Time Monitoring
• Procedure
• Monitor time on a watch
• Use results for computations
• Time of Arrival
• Time to Sundown
• Civil Twilight, Nautical Twilight, Astronomical Twilight
• Travel Rate
• Automation w GPSr
• GPSr keeps track of time for use in computations
Conclusion: Route Planning & Travel
• GPSr does not replace use of procedures for planning & travel
• Land navigation skills must be applied, whether GPS is used or not
• Land navigation techniques must be used with GPSr assistance
• Batteries go dead
• Receivers break
• GPSrs are dropped beyond reach
• Satellite coverage may be blocked
• GPS can be incorrectly used
• Wrong datum
• Wrong units
• Waypoints input incorrectly
Bottom Line for Traveling with GPSr
• Land navigation procedures used to provide data to GPSr for planning
• Really can’t just put the endpoint in, then go
• Can easily get off track (if there ever was one)
• Without a map too, getting lost is easy because it takes longer to figure that out
• A route must be determined and waypoints captured
• Better defined routes lead to more realistic results
• Always use GPSr together with a map
• Carry a compass, just in case
• Continuously validate GPSr representation independently
• Does your knowledge of travel agree what GPSr is showing you?
Base Map: Topo Map Field Features
• Topographical Map
• Terrain Features
• Water (Blue)
• Woodlands & Vegetation (Green)
• Clear/Open Areas (White)
• Surface Elevation [Contour Lines] (Brown)
• Man-Made Items
• Most Items (Black)
• Major Highways (Red)
• Revisions
• Since Last Major Update (Purple)
Capturing Lat-Long Coordinates for Waypoints
• Use annotated Base Map
• Use knowledge of how Lat-Long lines are laid out
• Understand modeling of round Earth as flat Earth
• Use tools to capture degree distances: Lat & Long
• Input results into GPSr as Waypoints
Note: Degree Distance is the change of degrees between two points,
which can be converted to spatial distance, regardless of zooming
Base Map: Topo Map Resolution
• Typically 1:24,000 (24K)
• 1 unit = 24000 units
• 1 in = 2000 ft
• As a result
• Many features are abstracted into a larger component
• Contour lines show 20’ elevation changes
• Comparatively insignificant items are too small to care about (causes clutter)
• Therefore
• Detailed maps of features the maker cares about must be made
• To see such items, they are much bigger than they are at scale
• Actual representations of their locations are tiny dots (lat-long positions (waypoints))
Base Map: Zooming
• Zooming Destroys 1:24K Relationship for distance only
• Terrain features do not improve or get worse by zooming
• Greater detail (resolution) is not achieved by zooming in
• Resolution does not get worse by zooming out
• Zooming does allow better spatial resolution by zooming in
• Therefore
• Distance relationships are maintained by lat-long lines
• 1’ (1 minute) latitude always equals 1 nm (nautical mile)
• At theoretical surface of the Earth, modeled as a sphere (ball)
Modeling Local (Small) Areas
• Local Areas (within 8 nm) are essentially considered flat (2D)
• Difference is less than 60 ft between longitude lines
• Horizontal Distances Between Longitude Lines Narrow Toward Poles
• At Equator, Distance between 1’ Longitude Lines is 1 nm
• At Poles, Distance between 1’ Longitude Lines is 0 nm
• Longitudinal Distance = Cosine (Latitude)
• For Our Recreational Distances by Hiking, Muscle Boating, etc.,
Actual Longitude Distance Differences are Negligible
• Therefore, 1’ Latitude x 1’ Longitude modeled as a rectangle
• At CHBSP (1 nm x 0.835 nm) [cosine (33˚26.000’)]
Base Map: Lat-Long Lines
• Lat-Long Lines Usually Drawn in multiples of 1’ Apart
• Makes use of 1’ latitude = 1 nm
• For CBSP Odyssey, lines are 1’ apart
• West Point Lake, lines are 1’ apart
• Pensacola Harbor, lines are 2’ apart
• Open ocean, lines are 5’ apart
• As larger areas are covered (zooming out), lines spaced farther apart
• As smaller areas are covered (zooming in), lines drawn closer together
• CHBP Odyssey map zooms in, making 1’ lat lines about 3 inches apart
CHBSP Odyssey Map: Lat Long Lines
Lat-Long Lines Drawn 1’ Apart
Labeled in Degrees and Minutes
- Latitude – Longitude
- DD˚ MM’ - DD˚ MM’
Example
- 3326-8501
- Lat is 3326 (33˚ 26’) N33˚ 26.000’
- Long is 8501 (85˚ 01’) W85˚ 01.000’
Note: Lower Section Cut-Off (Truncated)
- 33256-8501
- Lat is 33256 (33˚ 26’ 01”) N33˚ 25.600’
- Long is 8501 (85˚ 01’ 00”) W85˚ 01.000’
North America Lat-Long Relationships
• Latitude Increases from Equator to North Pole
• Equator: Latitude is 00˚ 00’ 00” (N00˚ 00.000’)
• North Pole: Latitude is 90˚ 00’ 00” (N90˚ 00.000’)
• CBSP: Latitude ~33˚ 26’ 00” (N33˚ 26.000’)
• Longitude Increases from Prime Meridian to International Data Line
• Greenwich, England: Longitude is -000˚ 00’ 00” (W00˚ 00.000’)
• Int’l Date Line: Longitude is -180˚ 00’ 00” (W180˚ 00.000’)
• CBSP: Longitude ~-085˚ 00’ 00” (W85˚ 00.000’)
• For Simplicity
• Negative sign (-) replaced by West (W) allowing increasing numbers east→west
Bottom-Line: Lat-Long Concepts Summarized
• 1’ Latitude = 1 nm = 6076 ft = 1.15(1 m) = 1.15(5280 ft)
• CBSP Lat-Long Lines Drawn 1’ Apart
• Local Area is Small, so Distances Between Longitude Lines are Equal
• Distance Between Longitude Lines is Cosine(Latitude)
• Distance between longitude lines shorter than between latitude lines
• 1’ longitude ≠ 1 nm
• Only use latitude for distance (ruler)
• Latitude increases as one goes north (always true north)
• Longitude increases as one goes west
Tool Implications
• Rectangular Tools Used to Directly Capture Lat-Long Coordinates
• 1’ Latitude / 10
• 1/10 nm = 0.1(6076 ft) = 607.6 ft ≅ 600 ft
• 0.1’ Latitude / 10
• ≅ 60 ft
• 0.01’ Latitude / 10 (not used)
• ≅ 6 ft
• Resolution is much better than GPS provides to civilians (within 30’)
• Therefore, Capture Lat-Long Coordinates as DD˚ MM.mm’
• Ex. 33˚ 26.52’
For Our Purposes, Specifying the Location of a Foot Bridge
Within 60-120’ is Okay! You can See It at that Distance
Rectangular Tools
• Any method measuring degrees from known Lat-long lines is valid
• Origin is always at lower right-hand corner (in North America)
• Latitude is a vertical distance up (north) a longitude line
• Longitude is a horizontal distance left (west) along a latitude line
• There are an infinite number of Lat-Long lines between 1’ Lat-Long lines
• For our purposes 1000 lines (x.000) in either direction (taken from GPSr to plot on map)
• We read coordinates w tools using 100 lines (x.00) in either direction (N-S, E-W)
• GPSr resolution is good 30 ft, not 6 ft, so don’t bother measuring to thousandths
• For simplicity, locations translated to drawn Lat-Long lines
• Straight lines available to make direct measurements
Translating Lat Long Lines to Baseline Lines
Goal
- Directly measure degree distances to
actual location along known Lat-Long
lines
Process
- Draw a parallel line to latitude to
baseline longitude line
- Measure degree distance to the
intersection to determine latitude
- Draw a parallel line to longitude to
baseline latitude line
- Measure degree distance to the
intersection to determine longitude
Some Methods of Translation
• Any method to draw parallel and perpendicular lines to drawn
Lat-Long lines
• Methods
• Corner Rule
• Grids
• Drafting Right-Angle Triangles
• Parallel Rules
• Pair of Credit Cards
• Our Tools Uses a Combination of Methods
• Grid Tool with major and minor grids, marked in 10ths
• Corner Tool with 2 embedded scales, marked in 10ths
Grid Tool
• 10x10 Rectangular Grid
• Rectangle is 1’ Latitude high & 1’
Longitude wide
• Each cell in grid 1/10’ latitude high
and 1/10’ longitude high
• 1/10 nm or 0.1 nm
• Diagonal cells have an embedded
10x10 rectangular grid
• 1/100 nm or 0.01 nm
• Provide seconds of a degree in
decimal form of a minute
• DD˚ MM.mm’
Grid Tool
• Origin at intersection of an
drawn Lat-Long lines
• Lower right-hand corner
• Upper left-hand corner is placed
on waypoint
• Minor grid rotated about the
origin until grid lines are parallel
to drawn Lat-Long lines
• Degree distance directly read at
the origin for waypoint’s Lat-Long
position
Origin
Base Longitude
Base Latitude
Grid Tool Procedure
Waypoint
Origin
Base
Latitude
N33˚ 26.000’
Base
Longitude
W84˚ 59.000’
1. Corner placed on Waypoint
2. Grid Tool turned until lines of
minor grids lie on base Lat-long
lines forming the origin
3. Read down to determine
degree offset to add to latitude
4. Read right to determine degree
offset to add to latitude
Example
- Base Lat-Long
- 3326 (N33˚ 26.000’)
- 8459 (W84˚ 59.000’)
- Latitude Offset
- 27 (N33˚ 26.27’)
- Longitude Offset
- 43 (W84˚ 59.43’)
Grid Tool Use
• Can be Used in Other Ways beyond scope of this presentation
• Cell overlay grid to approximate position of waypoint visually
• Degree-distance ruler to determine lengths in nautical miles
• Grid Tool More Difficult to Use Without Full Cell
• Also becomes more difficult when there isn’t a full cell below base cell
• Grid Tool Cannot be Rapidly Field Built
• Grid Tool is fixed at 1’ Latitude
• Corner Tool is More Practical and Versatile
Corner Tool Versatility
• Drawn Quickly and Easily in the Field
• Scale can be drawn directly from latitude sides of map alone
• Scale can be made to any desired length
• Scale can be Used in Either Appropriate Direction
• Latitude scales to read latitude offsets
• Longitude scales to read longitude offsets
• Numbers not written on the scale (counted in actual use)
• Needs Use of Other Tools to Translate Waypoint Lat-Long to Baseline
• Tools: Parallel Rules, Drafting Right Triangles
• Field Improvised Tools: 2 Credit Cards, Orienteering Base Compass
What about When Grid Tool Doesn’t Work?
• Grid tool works well when
• The origin is visible
• There is a full cell to the right and down
• Corner tool solves the problem
• First, translate waypoint to visible Lat-Long lines
• Use latitude side of corner tool to measure along longitude lines
• Use longitude side of corner tool to measure along latitude lines
• Depending on direction tool is used determines whether to add or subtract
• If latitude is measured down from a latitude north of location, subtract from 1.00
• If longitude is measure right from a longitude west of location, subtract from 1.00
• Otherwise, use similar to Grid tool
Corner Tool
Longitude Scale
LatitudeScale
Get Latitude from a More North Latitude
• Use Latitude Scale to measure degree
distance
• From more north latitude line,
measure down longitude line
• Subtract seconds of a degree from 1’
(1.00)
• Add result to what should be lower
righthand corner
• Example
• Flip tool horizontally & vertically
• Measure down from 3326 (N 33˚ 26.000’)
• Measure 0.22
• Subtract: 1.00 – 0.22 = 0.78
• Add to 3325 (N 33˚ 25.000’) invisible
• Latitude = N 33˚ 25.78’
Get Longitude from a more East Longitude
• Use Longitude Scale to measure
degree distance
• From more east longitude line,
measure left along latitude line
• Subtract seconds of a degree from 1’
(1.00)
• Add result to baseline longitude line
• Example
• Use tool un-flipped in both directions
• Measure left from 8500 (W 85˚ 00.000’)
• Measure 0.68
• Add to 8500 (N 85˚ 00.000’) invisible
• Latitude = W 85˚ 00.68’
• Trailhead is N33˚ 25.78’ W85˚ 00.68’
To Complete Worksheet Assignment
• Find dots (Waypoints) on trail along river, leading to camp
• Start at the Boat Ramp
• Follow trail to North Platform Campground
• Use either Grid Tool or Corner Tool to measure degree distance
• Use Grid Tool when there is enough of the tool to align minor grids on latitude
and longitude lines
• Use Corner Tool when the Grid Tool doesn’t work (easily) or anytime
• Use tools to measure hundredths of a minute
• DD˚ MM.mm
• Turn in assignment to Patrol Leader (Ben), Thursday, 7 Sep 18
Capturing Lat-Long Coordinates for a River Trail

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Capturing Lat-Long Coordinates for a River Trail

  • 1. Capturing Lat-Long Coordinates Chattahoochee River Odyssey Chattahoochee Bend State Park
  • 2. Capturing Lat-Long Coordinates: CBSP • Goals • Mission • Route Planning Process • Base Map Characteristics • Lat-Long Capture Tools & Methods • Worksheet Assignment Completion
  • 3. Goals • Complete Global Positioning System receiver (GPSr) requirements • Camping Merit Badge • 1st Class • Geocaching Merit Badge • Know How to Create a Route to a Campsite • Starting & End Points • Trail Junctions • Trails, Rivers, Roads • Man-Made Permanent Structures • Buildings, Foot Bridges • Use a Topographical Map
  • 4. Presentation Goal • Help Parents Understand the Background Behind Measurement Tools • Avoids using tools without understanding why they work • Avoids using tools without understanding what the results mean • Help Parents Help Their Scouts with Worksheet Assignment • Scouts in 6th grade not familiar with cartesian coordinate system • (x,y) coordinates from basic algebra course • May not familiar with any coordinate system • Work with Scouts to figure out first 3 waypoints to get the hang of it • Show how to use the Corner Tool when the easier Grid Tool doesn’t work • Be their cheerleader!
  • 5. Assignment: Find Lat-Long for 14 Waypoints • Using the CBSP Odyssey map and both tools provide find and record Lat-Long coordinates in DD˚ MM.mm format for 14 of 19 Waypoints Latitude Longitude
  • 6. Boldly Go! • This assignment is about capturing Lat-Long coordinates for waypoints on a trail to put into a GPS receiver • The goal is to use the tools to capture Waypoints from the map • This background information is largely irrelevant for doing it • It helps make sense of the measurements made (answers Why?) • Ultimately, eventually Scouts need to understand this to stay found • On this trip, if they understand a route is needed with waypoints along the way to get from their starting point to their destination, it’s enough! • Several other opportunities will arise to practice • Next opportunity is Troop backpacking trip in October (5 weeks from this trip)
  • 7. Mission: Use a GPSr to Get to Camp • From CBSP Boat Ramp, Hike to North Platform Campground by 1700 • Process • Find a trail to get there • If possible, make or find GPS Route of the trail • Identify permanent features along the trail for use as Waypoints • Capture Lat-Long coordinates for each Waypoint • Load each Waypoint into a GPSr • Add Waypoints to the Route • Follow Route to Camp
  • 8. Mission Impossible: How Not to Use GPSr • Load Campground Waypoint in GPSr, then take off along the trail from the boat ramp, especially without a GPS route or a map • Before GPS, hikers used trail maps with recognizable features • Length of trail determined • Expected rate of travel used to determine time of arrival • Collection points (things to find along the way) chosen before starting out • Thumbing used to keep take of location • Compass used to periodically confirm position and direction of travel • Time monitored to assess progress Properly used, a GPSr automates many of these functions
  • 9. Length of Trail Determined • Procedure • Determine start and end points • Find the distance scale on the map • Lay a thread on the trail, from beginning to end • Stretch out thread • Use scale to measure length • Automation w GPSr • Load route into GPSr with a *.gpx file • Get one from a previous traveler or Make one with “My Google Maps” • Collect route by walking it using traditional land navigation methods • Trail length computed by GPSr
  • 10. Determine Time of Arrival • Procedure • Establish start time • Using a rate of travel (between 1-2 mph) with Distance = Rate x Time formula • Calculate travel time (Distance and rate are known) • Add time to start time • Note: Use a rate of travel that includes breaks, etc. • Skipper uses 1 mph • Automation w GPSr • GPSr uses current location and historical rate travel on the route to estimate
  • 11. Collection Points • Procedure • Collection points are identifiable locations to pass along the way • Trail crossings: Other trails, road, utility lines, rivers & creeks • Distinguishable landmarks: Boulder fields, buildings, hills, ditches • When planning the route, collection points are determined • Used as last-known-good points to get back to when lost • Automation w GPSr • Collection points are converted to waypoints loaded in GPSr
  • 12. Thumbing • Procedure • Thumbing is keeping track of where you are with thumb on map whole way • Requires keeping map out, updating where you are while moving • Typically, not doing this is the major reason for getting lost • Automation w GPSr • GPSr keeps track of where you’ve been and where you’re going • Better GPSrs have embedded maps to show terrain relative to location
  • 13. Compass Use • Procedure • Arguably unnecessary unless lost • Thumbing and keeping the map oriented is the preferred way to travel • Used to orient map when the terrain is featureless (everything looks to same) • Ex. Heavily forested area, desert • Best use is going cross-country (not using trails, roads, creeks, or other handrails) • Be sure to adjust for declination (aka variation in nautical world) • Can be used to figure out which way to turn • Automation w GPSr • GPSr keeps terrain map oriented • Better GPSrs have built-in compass, in both True and Magnetic
  • 14. Time Monitoring • Procedure • Monitor time on a watch • Use results for computations • Time of Arrival • Time to Sundown • Civil Twilight, Nautical Twilight, Astronomical Twilight • Travel Rate • Automation w GPSr • GPSr keeps track of time for use in computations
  • 15. Conclusion: Route Planning & Travel • GPSr does not replace use of procedures for planning & travel • Land navigation skills must be applied, whether GPS is used or not • Land navigation techniques must be used with GPSr assistance • Batteries go dead • Receivers break • GPSrs are dropped beyond reach • Satellite coverage may be blocked • GPS can be incorrectly used • Wrong datum • Wrong units • Waypoints input incorrectly
  • 16. Bottom Line for Traveling with GPSr • Land navigation procedures used to provide data to GPSr for planning • Really can’t just put the endpoint in, then go • Can easily get off track (if there ever was one) • Without a map too, getting lost is easy because it takes longer to figure that out • A route must be determined and waypoints captured • Better defined routes lead to more realistic results • Always use GPSr together with a map • Carry a compass, just in case • Continuously validate GPSr representation independently • Does your knowledge of travel agree what GPSr is showing you?
  • 17. Base Map: Topo Map Field Features • Topographical Map • Terrain Features • Water (Blue) • Woodlands & Vegetation (Green) • Clear/Open Areas (White) • Surface Elevation [Contour Lines] (Brown) • Man-Made Items • Most Items (Black) • Major Highways (Red) • Revisions • Since Last Major Update (Purple)
  • 18. Capturing Lat-Long Coordinates for Waypoints • Use annotated Base Map • Use knowledge of how Lat-Long lines are laid out • Understand modeling of round Earth as flat Earth • Use tools to capture degree distances: Lat & Long • Input results into GPSr as Waypoints Note: Degree Distance is the change of degrees between two points, which can be converted to spatial distance, regardless of zooming
  • 19. Base Map: Topo Map Resolution • Typically 1:24,000 (24K) • 1 unit = 24000 units • 1 in = 2000 ft • As a result • Many features are abstracted into a larger component • Contour lines show 20’ elevation changes • Comparatively insignificant items are too small to care about (causes clutter) • Therefore • Detailed maps of features the maker cares about must be made • To see such items, they are much bigger than they are at scale • Actual representations of their locations are tiny dots (lat-long positions (waypoints))
  • 20. Base Map: Zooming • Zooming Destroys 1:24K Relationship for distance only • Terrain features do not improve or get worse by zooming • Greater detail (resolution) is not achieved by zooming in • Resolution does not get worse by zooming out • Zooming does allow better spatial resolution by zooming in • Therefore • Distance relationships are maintained by lat-long lines • 1’ (1 minute) latitude always equals 1 nm (nautical mile) • At theoretical surface of the Earth, modeled as a sphere (ball)
  • 21. Modeling Local (Small) Areas • Local Areas (within 8 nm) are essentially considered flat (2D) • Difference is less than 60 ft between longitude lines • Horizontal Distances Between Longitude Lines Narrow Toward Poles • At Equator, Distance between 1’ Longitude Lines is 1 nm • At Poles, Distance between 1’ Longitude Lines is 0 nm • Longitudinal Distance = Cosine (Latitude) • For Our Recreational Distances by Hiking, Muscle Boating, etc., Actual Longitude Distance Differences are Negligible • Therefore, 1’ Latitude x 1’ Longitude modeled as a rectangle • At CHBSP (1 nm x 0.835 nm) [cosine (33˚26.000’)]
  • 22. Base Map: Lat-Long Lines • Lat-Long Lines Usually Drawn in multiples of 1’ Apart • Makes use of 1’ latitude = 1 nm • For CBSP Odyssey, lines are 1’ apart • West Point Lake, lines are 1’ apart • Pensacola Harbor, lines are 2’ apart • Open ocean, lines are 5’ apart • As larger areas are covered (zooming out), lines spaced farther apart • As smaller areas are covered (zooming in), lines drawn closer together • CHBP Odyssey map zooms in, making 1’ lat lines about 3 inches apart
  • 23. CHBSP Odyssey Map: Lat Long Lines Lat-Long Lines Drawn 1’ Apart Labeled in Degrees and Minutes - Latitude – Longitude - DD˚ MM’ - DD˚ MM’ Example - 3326-8501 - Lat is 3326 (33˚ 26’) N33˚ 26.000’ - Long is 8501 (85˚ 01’) W85˚ 01.000’ Note: Lower Section Cut-Off (Truncated) - 33256-8501 - Lat is 33256 (33˚ 26’ 01”) N33˚ 25.600’ - Long is 8501 (85˚ 01’ 00”) W85˚ 01.000’
  • 24. North America Lat-Long Relationships • Latitude Increases from Equator to North Pole • Equator: Latitude is 00˚ 00’ 00” (N00˚ 00.000’) • North Pole: Latitude is 90˚ 00’ 00” (N90˚ 00.000’) • CBSP: Latitude ~33˚ 26’ 00” (N33˚ 26.000’) • Longitude Increases from Prime Meridian to International Data Line • Greenwich, England: Longitude is -000˚ 00’ 00” (W00˚ 00.000’) • Int’l Date Line: Longitude is -180˚ 00’ 00” (W180˚ 00.000’) • CBSP: Longitude ~-085˚ 00’ 00” (W85˚ 00.000’) • For Simplicity • Negative sign (-) replaced by West (W) allowing increasing numbers east→west
  • 25. Bottom-Line: Lat-Long Concepts Summarized • 1’ Latitude = 1 nm = 6076 ft = 1.15(1 m) = 1.15(5280 ft) • CBSP Lat-Long Lines Drawn 1’ Apart • Local Area is Small, so Distances Between Longitude Lines are Equal • Distance Between Longitude Lines is Cosine(Latitude) • Distance between longitude lines shorter than between latitude lines • 1’ longitude ≠ 1 nm • Only use latitude for distance (ruler) • Latitude increases as one goes north (always true north) • Longitude increases as one goes west
  • 26. Tool Implications • Rectangular Tools Used to Directly Capture Lat-Long Coordinates • 1’ Latitude / 10 • 1/10 nm = 0.1(6076 ft) = 607.6 ft ≅ 600 ft • 0.1’ Latitude / 10 • ≅ 60 ft • 0.01’ Latitude / 10 (not used) • ≅ 6 ft • Resolution is much better than GPS provides to civilians (within 30’) • Therefore, Capture Lat-Long Coordinates as DD˚ MM.mm’ • Ex. 33˚ 26.52’ For Our Purposes, Specifying the Location of a Foot Bridge Within 60-120’ is Okay! You can See It at that Distance
  • 27. Rectangular Tools • Any method measuring degrees from known Lat-long lines is valid • Origin is always at lower right-hand corner (in North America) • Latitude is a vertical distance up (north) a longitude line • Longitude is a horizontal distance left (west) along a latitude line • There are an infinite number of Lat-Long lines between 1’ Lat-Long lines • For our purposes 1000 lines (x.000) in either direction (taken from GPSr to plot on map) • We read coordinates w tools using 100 lines (x.00) in either direction (N-S, E-W) • GPSr resolution is good 30 ft, not 6 ft, so don’t bother measuring to thousandths • For simplicity, locations translated to drawn Lat-Long lines • Straight lines available to make direct measurements
  • 28. Translating Lat Long Lines to Baseline Lines Goal - Directly measure degree distances to actual location along known Lat-Long lines Process - Draw a parallel line to latitude to baseline longitude line - Measure degree distance to the intersection to determine latitude - Draw a parallel line to longitude to baseline latitude line - Measure degree distance to the intersection to determine longitude
  • 29. Some Methods of Translation • Any method to draw parallel and perpendicular lines to drawn Lat-Long lines • Methods • Corner Rule • Grids • Drafting Right-Angle Triangles • Parallel Rules • Pair of Credit Cards • Our Tools Uses a Combination of Methods • Grid Tool with major and minor grids, marked in 10ths • Corner Tool with 2 embedded scales, marked in 10ths
  • 30. Grid Tool • 10x10 Rectangular Grid • Rectangle is 1’ Latitude high & 1’ Longitude wide • Each cell in grid 1/10’ latitude high and 1/10’ longitude high • 1/10 nm or 0.1 nm • Diagonal cells have an embedded 10x10 rectangular grid • 1/100 nm or 0.01 nm • Provide seconds of a degree in decimal form of a minute • DD˚ MM.mm’
  • 31. Grid Tool • Origin at intersection of an drawn Lat-Long lines • Lower right-hand corner • Upper left-hand corner is placed on waypoint • Minor grid rotated about the origin until grid lines are parallel to drawn Lat-Long lines • Degree distance directly read at the origin for waypoint’s Lat-Long position Origin Base Longitude Base Latitude
  • 32. Grid Tool Procedure Waypoint Origin Base Latitude N33˚ 26.000’ Base Longitude W84˚ 59.000’ 1. Corner placed on Waypoint 2. Grid Tool turned until lines of minor grids lie on base Lat-long lines forming the origin 3. Read down to determine degree offset to add to latitude 4. Read right to determine degree offset to add to latitude Example - Base Lat-Long - 3326 (N33˚ 26.000’) - 8459 (W84˚ 59.000’) - Latitude Offset - 27 (N33˚ 26.27’) - Longitude Offset - 43 (W84˚ 59.43’)
  • 33. Grid Tool Use • Can be Used in Other Ways beyond scope of this presentation • Cell overlay grid to approximate position of waypoint visually • Degree-distance ruler to determine lengths in nautical miles • Grid Tool More Difficult to Use Without Full Cell • Also becomes more difficult when there isn’t a full cell below base cell • Grid Tool Cannot be Rapidly Field Built • Grid Tool is fixed at 1’ Latitude • Corner Tool is More Practical and Versatile
  • 34. Corner Tool Versatility • Drawn Quickly and Easily in the Field • Scale can be drawn directly from latitude sides of map alone • Scale can be made to any desired length • Scale can be Used in Either Appropriate Direction • Latitude scales to read latitude offsets • Longitude scales to read longitude offsets • Numbers not written on the scale (counted in actual use) • Needs Use of Other Tools to Translate Waypoint Lat-Long to Baseline • Tools: Parallel Rules, Drafting Right Triangles • Field Improvised Tools: 2 Credit Cards, Orienteering Base Compass
  • 35. What about When Grid Tool Doesn’t Work? • Grid tool works well when • The origin is visible • There is a full cell to the right and down • Corner tool solves the problem • First, translate waypoint to visible Lat-Long lines • Use latitude side of corner tool to measure along longitude lines • Use longitude side of corner tool to measure along latitude lines • Depending on direction tool is used determines whether to add or subtract • If latitude is measured down from a latitude north of location, subtract from 1.00 • If longitude is measure right from a longitude west of location, subtract from 1.00 • Otherwise, use similar to Grid tool
  • 37. Get Latitude from a More North Latitude • Use Latitude Scale to measure degree distance • From more north latitude line, measure down longitude line • Subtract seconds of a degree from 1’ (1.00) • Add result to what should be lower righthand corner • Example • Flip tool horizontally & vertically • Measure down from 3326 (N 33˚ 26.000’) • Measure 0.22 • Subtract: 1.00 – 0.22 = 0.78 • Add to 3325 (N 33˚ 25.000’) invisible • Latitude = N 33˚ 25.78’
  • 38. Get Longitude from a more East Longitude • Use Longitude Scale to measure degree distance • From more east longitude line, measure left along latitude line • Subtract seconds of a degree from 1’ (1.00) • Add result to baseline longitude line • Example • Use tool un-flipped in both directions • Measure left from 8500 (W 85˚ 00.000’) • Measure 0.68 • Add to 8500 (N 85˚ 00.000’) invisible • Latitude = W 85˚ 00.68’ • Trailhead is N33˚ 25.78’ W85˚ 00.68’
  • 39. To Complete Worksheet Assignment • Find dots (Waypoints) on trail along river, leading to camp • Start at the Boat Ramp • Follow trail to North Platform Campground • Use either Grid Tool or Corner Tool to measure degree distance • Use Grid Tool when there is enough of the tool to align minor grids on latitude and longitude lines • Use Corner Tool when the Grid Tool doesn’t work (easily) or anytime • Use tools to measure hundredths of a minute • DD˚ MM.mm • Turn in assignment to Patrol Leader (Ben), Thursday, 7 Sep 18