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erence in receiving the signals from both stat ath where the ship experiences the same tir

erence in receiving the signals from both stat ath where the ship experiences the same tir

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(A) Two LORAN (long range navigation) stations A and B are situated along a straight shore, where A is 200 miles west of B. These stations transmit radio signals at a speed 186 miles per millisecond. The captain of a ship travelling on the open sea intends to enter a harbor that is located 40 miles east of station A. Due to the its location, the harbor experiences a time difference in receiving the signals from both stations. The captain navigates the ship into the harbor by following a path where the ship experiences the same time difference as the harbor. (a) What time difference between station signals should the captain be looking for in order the ship to make a successful entry into the harbor? (b) If the desired time difference is achieved, determine the location of the ship if it is 75 miles offshore.
Transcribed Image Text:(A) Two LORAN (long range navigation) stations A and B are situated along a straight shore, where A is 200 miles west of B. These stations transmit radio signals at a speed 186 miles per millisecond. The captain of a ship travelling on the open sea intends to enter a harbor that is located 40 miles east of station A. Due to the its location, the harbor experiences a time difference in receiving the signals from both stations. The captain navigates the ship into the harbor by following a path where the ship experiences the same time difference as the harbor. (a) What time difference between station signals should the captain be looking for in order the ship to make a successful entry into the harbor? (b) If the desired time difference is achieved, determine the location of the ship if it is 75 miles offshore.
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