Problem

The satellite subpoint coordinates and pseudo-ranges for the four GPS satellites whose signals are received by a positioning radio are shown in Table 1. All pseudo-ranges are given relative to the first satellite position.

Sat 1

Sat 2

Sat 3

Sat 4

Longitude

-62.3256

-85.2234

-90.9760

-95.0234

Latitude

43.2345

35.5521

29.0510

40.7777

PR/c (s)

0.000000000

-0.00158701

-0.00137326

-0.001090228

Table 1: Satellite Coordinates and Time

Other parameters given are:
-Mean earth radius: 6,380.00 Km
-GPS satellite altitude: 20,200.00 Km
-Speed of light (c ): 299,860.00 Km/s

Based on this data, the problem is to calculate the longitude, latitude, and altitude for the GPS receiver.

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