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Quantitative Finance · Glossário

O que é Geodesic distance?

Definition 10.1 Networks, Hardware and Trading Infrastructure · Capítulo 10 — The North American Map

The geodesic distance between two points on the Earth is the length of the shortest path between them along the surface of a reference ellipsoid (for maps and satellite positioning, WGS-84), computed from their latitudes and longitudes.

The New Jersey triangle from computed coordinates: each site from its sourced street address and a cited geocoder (), each side labelled with its WGS-84 geodesic distance and light-time in vacuum. The projection is a local equirectangular one centred on 40.8° N, 74.15° W. Data: fig_map.py on firm.geomap.
Figure 10.1. The New Jersey triangle from computed coordinates: each site from its sourced street address and a cited geocoder (Box 10.1), each side labelled with its WGS-84 geodesic distance and light-time in vacuum. The projection is a local equirectangular one centred on 40.8° N, 74.15° W. Data: fig_map.py on firm.geomap.
FromToGeodesicVacuumAirFibre
(km)(µs\text{µ}\mathrm{s})(µs\text{µ}\mathrm{s})(µs\text{µ}\mathrm{s})
MahwahCarteret55.6185.4185.4271.0
MahwahSecaucus NY434.5114.9115.0168.0
Secaucus NY4Carteret25.986.386.3126.2
AuroraCarteret1 180.93 939.03 940.15 758.8
AuroraMahwah1 179.03 932.63 933.85 749.4
AuroraSecaucus NY51 191.13 973.13 974.35 808.7
Aurora350 Cermak52.3174.5174.5255.1
350 CermakCarteret1 129.23 766.73 767.85 506.9
MarkhamMahwah523.71 747.01 747.62 554.2
MarkhamSecaucus NY4550.21 835.31 835.92 683.3
MarkhamCarteret553.11 844.91 845.42 697.2
Table 10.1. Distances and one-way latency floors between the sites of Box 10.1: WGS-84 geodesics (Vincenty’s inverse method) and the time light needs along them in vacuum, in air (n=1.0003n = 1.0003) and in standard single-mode fibre (ng=1.4620n_g = 1.4620). Data: nw_map.pair_rows().
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