File:Hyperbolic_Navigation.svg
From Wikipedia, the free encyclopedia
Original file (SVG file, nominally 842 × 535 pixels, file size: 37 KB)
This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file repository. You can help. |
Summary
DescriptionHyperbolic Navigation.svg |
English: This is the geometry of a basic hyperbolic navigation system. Hyperbolic navigation is a class of navigation systems based on the difference in timing between the reception of two signals, without reference to a common clock.
Here, the three ground stations are Stations A, B, C, whose locations are known. The times it takes for a radio signal to travel from the stations to the receiver are unknown, but the time differences are known. That is, are unknown, but and are known. Then, each time difference locates the receiver on a branch of a hyperbola focussed on the ground stations. Then the location of the receiver is at one of the two intersections. Any other form of navigation information can be used to eliminate this ambiguity and determine a fix. Created in GeoGebra. Permanent link here. Additional note: We assume that the earth is approximately flat in this diagram. This assumption can be corrected. In general, the surface of equal time difference is a hyperboloid in space, and it intersects with a sphere (the surface of earth) at an ellipse. To see this, note that a hyperboloid To locate a point uniquely in space, one must use at least least 4 ground stations. The receiver can then be located as one of the unique intersections of the 6 hyperboloids (one hyperboloid for each pair of the ground stations). |
Date | |
Source | Own work |
Author | Cosmia Nebula |
SVG development InfoField | This diagram was created with GeoGebra. This diagram uses embedded text that can be easily translated using a text editor. |
Licensing
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. | |
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
Items portrayed in this file
depicts
some value
10 June 2019
image/svg+xml
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 08:00, 10 June 2019 | 842 × 535 (37 KB) | Cosmia Nebula | bigger text | |
07:45, 10 June 2019 | 1,042 × 568 (31 KB) | Cosmia Nebula | User created page with UploadWizard |
File usage
Global file usage
The following other wikis use this file:
- Usage on fa.wikipedia.org
- Usage on fr.wikipedia.org
Metadata
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
If the file has been modified from its original state, some details may not fully reflect the modified file.
Width | 237.71866mm |
---|---|
Height | 150.95316mm |