Charts
Map Projections — Overview
A map projection is a way of representing the Earth’s curved surface on a flat chart. Because the Earth is a sphere (actually an oblate spheroid), some distortion (in shape, distance, or area) is always introduced.
✈️ Main Types Used in Aviation
| Projection | Key Feature | Advantages | Disadvantages | Common Use |
|---|---|---|---|---|
| Lambert Conformal Conic (LCC) | Cone projection, intersects Earth along two parallels | Preserves angles (conformal) → bearings are accurate | Slight distance distortion near edges | Most aeronautical charts (sectionals, enroute) |
| Mercator | Cylindrical projection | Straight rhumb lines (constant headings) | Great circles appear curved; scale distortion at high latitudes | Marine charts, some low-latitude maps |
| Transverse Mercator | Cylinder turned 90° (tangent to a meridian) | Accurate along central meridian | Distortion increases east/west from center | Used in local topographic and UTM grids |
| Polar Stereographic | Plane projection touching at a pole | Accurate near the pole | Distorted away from the pole | High-latitude and polar navigation charts |
| Gnomonic | Projected from Earth’s center onto a plane | Great circles are straight lines | Severe distortion at edges | Used for great-circle route planning (long-haul flights) |
🧩 Quick Summary
| Property | Lambert | Mercator | Polar Stereographic | Gnomonic |
|---|---|---|---|---|
| Conformal (angle-true) | ✅ | ✅ | ✅ | ❌ |
| Straight Great Circles | ❌ | ❌ | ❌ | ✅ |
| Constant Heading (Rhumb) Lines Straight | ❌ | ✅ | ❌ | ❌ |
| Used For | Air charts | Marine | Polar | Long-range planning |
✈️ In short:
Lambert Conformal Conic is the standard for aviation charts — it keeps bearings and shapes accurate enough for navigation. Gnomonic charts are used only for plotting long great-circle routes.
Short review of the main aviation chart types
Aviation charts are specialized maps designed to help pilots navigate safely, showing terrain, airspace, radio aids, airports, and obstacles — all to scale and oriented to true north.
Main Types of Aviation Charts
| Chart Type | Scale / Coverage | Used For | Key Features |
|---|---|---|---|
| World Aeronautical Chart (WAC) | ~1:1,000,000 | Long-distance / overview navigation (now mostly replaced by digital charts) | Terrain, airways, VORs, NDBs, limited detail |
| Sectional Chart | ~1:500,000 | VFR (Visual Flight Rules) navigation | Detailed topography, landmarks, obstacles, airspace classes, airports |
| Terminal Area Chart (TAC) | ~1:250,000 | VFR navigation around busy airports | More detail on airspace and obstacles near terminals |
| Enroute Chart (Low Altitude / High Altitude) | Variable (~1:1,000,000) | IFR (Instrument Flight Rules) navigation | Airways (V, J, Q routes), navaids, reporting points, MEAs, MOCAs |
| Instrument Approach Chart | N/A (one airport) | IFR approach to land | Runway layout, approach path, altitudes, frequencies, missed approach procedure |
| Standard Instrument Departure (SID) Chart | N/A | IFR departure procedure | Initial climb, route to enroute structure |
| Standard Terminal Arrival (STAR) Chart | N/A | IFR arrival procedure | Transition route from enroute to approach |
| Airport Diagram (Aerodrome Chart) | N/A | Ground operations | Runways, taxiways, parking, frequencies, hotspots |
Chart References
- North reference: Most charts are oriented to true north; magnetic variation is shown.
- Projection: Usually Lambert Conformal Conic, which preserves angles — great for navigation.
- Elevation: Terrain colors, contour lines, and spot elevations help assess obstacle clearance.
Digital Charts
Modern pilots use:
- Jeppesen charts (standardized for IFR)
- Government/ICAO charts
- EFB apps like ForeFlight, Garmin Pilot, SkyDemon, etc.
These combine sectionals, approach plates, and enroute charts digitally with GPS overlay.
Summary Table
| Flight Type | Chart Type | Scale / Purpose |
|---|---|---|
| VFR | Sectional (1:500,000) / TAC (1:250,000) | Visual nav & airspace awareness |
| IFR Enroute | Low- and high-altitude enroute charts | Airways, navaids, routes |
| IFR Terminal | SID / STAR / Approach plates | Procedure-based navigation |
| Airport | Aerodrome diagram | Taxi & ground ops |
lambodrome, loxodrome, orthodrome belong to spherical navigation and cartography, which are fundamental to aviation and maritime navigation
Orthodrome (Great Circle)
Definition: A path on the surface of a sphere that represents the shortest distance between two points.
Characteristics:
- It’s the intersection of the Earth’s surface with a plane passing through the Earth’s center.
- The direction (bearing) constantly changes along the route, except when following the equator or a meridian.
- Shortest distance between two points → hence used for long-range flight planning.
In aviation:
- Used for long-haul flights (e.g., intercontinental routes).
- Appears as a curved line on a Mercator chart, but as a straight line on a gnomonic projection.
🛫 Example: A flight from London to Los Angeles follows an orthodromic route, curving over Greenland on the map but minimizing distance and fuel.
Loxodrome (Rhumb Line)
Definition: A line crossing all meridians at a constant angle (constant bearing or heading).
Characteristics:
- The aircraft maintains a constant compass heading.
- It spirals toward the poles (never reaches them) if extended infinitely.
- Longer than the orthodrome between two distant points.
In aviation:
- Easier to fly and navigate since the heading is constant.
- Preferred for shorter routes, or in lower latitudes where the curvature effect is small.
- Appears as a straight line on a Mercator chart, which simplifies navigation.
🛫 Example: A flight between Paris and Rome can use a loxodromic path with one constant heading.
Lambodrome
This one is less standard and often confused. Historically, lambodrome is a French or old nautical term occasionally used as a variant or approximation of loxodrome. In most English and modern navigation contexts:
Lambodrome ≈ Loxodrome (Rhumb Line)
So — in aviation, you can treat “lambodrome” as an outdated synonym for a constant-heading (rhumb line) course.
Comparison Summary
| Term | Type of Curve | Heading | Distance | Chart Appearance | Common Use |
|---|---|---|---|---|---|
| Orthodrome | Great Circle | Changes continuously | Shortest | Straight on Gnomonic | Long routes |
| Loxodrome | Rhumb Line | Constant | Longer | Straight on Mercator | Short routes, easy nav |
| Lambodrome | (Obsolete) Same as Rhumb Line | Constant | Longer | Straight on Mercator | Historical/academic |
| Equirectangular / Parallel path | Parallel of latitude | Constant latitude | Not shortest | Straight on Equirectangular | Often local routes or headings |
In Practice (Modern Aviation)
Modern flight computers and FMS (Flight Management Systems):
- Plan and fly great circles (orthodromes) automatically.
- Display rhumb-line bearings for readability.
- Constantly update headings to stay on the great-circle route.
So, while pilots may see a constant bearing on the display, the aircraft is technically flying an orthodromic path optimized for efficiency.
⚓️ 1. Historical Context
Before precise geodesy and spherical trigonometry were widely available (roughly pre-18th century), sailors and early navigators used practical, graphical methods on flat charts to steer courses.
These charts — especially the Mercator projection (introduced in 1569 by Gerardus Mercator) — had a magical property:
Any straight line on the Mercator chart corresponds to a constant compass bearing.
That straight line was what navigators drew and followed — a loxodrome (rhumb line).
But before the word “loxodrome” became standard in English, different languages and traditions used other names for this same idea — among them:
- Lambodrome (from French lambodrome, or lambodromie)
- Rumb line (from the old nautical word rumb meaning compass point or direction)
So “lambodrome” was originally a seaman’s practical path — a line of constant heading drawn on a chart. Later, mathematicians formalized it as the loxodrome on the sphere (a logarithmic spiral toward the pole).
Why "Approximately"?
Because early navigators treated Earth as flat for local or regional sailing.
- They plotted a straight line on their chart (a “lambodrome”) using a constant heading.
- On the sphere, that path is not exactly constant in terms of true direction and distance — it’s a loxodrome approximation.
So the lambodrome was a practical, flat-map path, while the loxodrome was the exact spherical equivalent that crosses all meridians at the same angle.
Hence:
“Lambodrome” ≈ “Loxodrome” because the lambodrome is the planar approximation to the spherical rhumb line.
Evolution of Terms
| Era | Common Term | Meaning |
|---|---|---|
| 16th–17th centuries | Lambodrome (French nautical term) | Constant heading line drawn on chart |
| 17th–19th centuries | Rhumb Line or Loxodrome | Mathematical constant-angle curve on the sphere |
| Modern usage | Loxodrome or Rhumb Line | Exact definition used in navigation theory |
By the time spherical navigation matured (18th–19th centuries), lambodrome faded, and loxodrome became the accepted scientific term.
In Aviation Context
Aviators inherited both:
- Rhumb-line navigation from marine charts (Mercator style)
- Great-circle navigation from geodesy (orthodrome)
So in old manuals (especially French, Portuguese, or early ICAO literature), you might find “lambodromic navigation” meaning “constant bearing flight” — essentially rhumb-line flying.
In Short
Why lambodrome ≈ rhumb line:
- “Lambodrome” was the older, practical term for constant-heading paths used by sailors and early aviators.
- “Loxodrome” is the mathematically exact version of that same concept on the sphere.
- Thus, a lambodrome is a flat-chart approximation of a loxodrome.