Three Stations and One Earthquake

79-hikoya, jami 80 ta

Hikoyani tinglang

Highlighted words are key vocabulary — tap one to see its translation. Colors show the part of speech:

Verb Adjective Adverb Expression

When the ground moves somewhere, it sends out two kinds of wave. The first kind travels faster and arrives first. The second is slower and arrives behind it. Every seismic station records both, and the gap between the two arrivals is the useful part: the further away the source, the more the fast wave has pulled ahead, so the wider the gap.

From that gap a station can work out how far away the earthquake was. What it cannot do is say where. A single station knows one thing only — the source lies somewhere on a circle drawn around the station, with that distance as the radius. Every point on the circle fits the reading equally well.

A second station, somewhere else, draws its own circle. The two circles usually cross at two points, and the earthquake is at one of them. It takes a third station, and a third circle, to say which. Where the three meet is the epicentre, and that is why seismic networks are built as networks rather than as single instruments.

The method is old, careful and quietly beautiful. Nothing is guessed; each station narrows the possibilities, and the answer is whatever survives all three. Distance alone is a circle. Two distances leave a choice. Three leave a place.

The same reasoning runs, in three dimensions, inside every satellite navigation receiver in every telephone — spheres instead of circles, and rather more of them.

Matndagi atamalar

Kartani bosing — taʼrifi chiqadi.

wave
toʻlqin
seismic station
seysmik stansiya
arrivals
yetib kelishlar
source
manba, zilzila oʻchogʻi
cross
kesishadi
epicentre
epitsentr, oʻchoq
networks
tarmoqlar
guessed
taxmin qilingan
narrows
chegaralamoq
survives
omon qoladi, tekshiruvdan oʻtadi
receiver
qabul qilgich
spheres
sferalar

Qoida va formulalar

Matnda ishlatilgan matematik qoida.

lies somewhere on a circle around the station

stansiya atrofidagi aylananing biror nuqtasida yotadi — markaz + radius.

  • Every point that is 5 units from the centre lies on the circle.

with that distance as the radius

oʻsha masofa radius sifatida olinadi.

  • Draw a circle centred at the station with 200 km as the radius.

narrows the possibilities

imkoniyatlar doirasini toraytiradi — har bir shart javobni qisadi.

  • Each new reading narrows the possibilities.

Tekshirib koʻring

Matnni oʻqing, keyin hisoblang. Javobni bosib tekshiring.

1. What can one station determine on its own?

2. Station A is 200 kilometres from the earthquake and Station B is 350 kilometres from it. The two stations are 600 kilometres apart. Could the earthquake lie on the straight line between them?

3. Why must networks contain many stations?