Decentralized Geolocation Using Orbit Intersection
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Solution Overview
Problem
Traditional GPS-type geolocation systems are inadequate for locating objects within a mobile, limited area without external data exchange and struggle with signal obstruction and the precise positioning of objects at different altitudes, such as on different floors of a building.
Innovation Solution
A decentralized method that defines an absolute reference system, uses three reference objects to detect and measure distances, calculates orbits, and locates objects through the intersection of these orbits, allowing for positioning without external data exchange and accounting for spatial organization and altitude differences.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If a GPS-type centralized server system is used for geolocation, then location data can be obtained through external satellites, but data exchange with outside points is required and signal transmission may be hindered by obstacles
Solution Approach 1:
The system divides the geolocation function into distributed peer-to-peer measurements among multiple communicating objects, eliminating the need for a centralized server. Each object independently measures distances to others and calculates positions through coordinate transformation, enabling operation in isolated environments without external satellite dependency.
Solution Approach 2:
The system transitions from two-dimensional GPS coordinates to three-dimensional positioning by incorporating altitude measurements and using spatial coordinate transformations. This allows precise location of objects at different elevations (e.g., different floors of a building) by adding the vertical dimension to the geolocation calculation.
2Ease of operation
If a star-shaped transmission structure with centralized server is used, then data can be relayed through the server, but the server is required for all data transmission between objects
Solution Approach 1:
The system extracts and removes the centralized server component from the geolocation architecture. Objects directly exchange distance measurement data with each other through peer-to-peer communication, eliminating the mandatory server relay and reducing system structural complexity while maintaining data transmission capability.
Solution Approach 2:
The system combines detection, measurement, and calculation functions into each communicating object itself. Each object independently performs distance measurements to others and executes coordinate transformation calculations, merging previously separate server-based functions into the distributed objects to enable autonomous operation.
3Measurement precision
If traditional GPS-type systems are used, then general location can be obtained, but precise positioning of objects with same latitude and longitude at different altitudes is difficult
Solution Approach 1:
The system explicitly incorporates the third dimension (altitude) into the geolocation calculation by measuring vertical distances between objects and performing three-dimensional coordinate transformations. This preserves and utilizes altitude information that traditional two-dimensional GPS systems lose, enabling precise differentiation of objects at the same horizontal coordinates but different elevations.
Solution Approach 2:
The system changes the parameter set used for location determination by adding altitude/vertical position as a critical parameter alongside horizontal coordinates. Distance measurements include vertical components, and coordinate transformations account for three-dimensional space, transforming the system from 2D to 3D operation to prevent information loss about vertical positioning.
Data Source
AI summary
A method for locating communicating objects that make up a fleet. An absolute frame of reference is defined in which the coordinates of the positions of the communicating objects are defined. At least three positions by the coordinates thereof in the absolute frame of reference are defined. The previously defined positions are associated with three communicating objects, referred to as reference objects. A reference object detects the other two reference objects and measures the distance to the two other reference objects. The distance from two reference objects to a fourth communicating object is measured. The geometric location of the distant points from a reference object to the object to be located is the orbit of the reference object. The fourth communicating object is located from at least two orbits previously established and at least one distance among the distances that separate the three reference objects.


