UPDATE
More on signal levels and path loss for 406-MHz SARSAT.Transmitter Power SpecificationThe typical personal locator beacon (PLB) will have a 5-Watt transmitter at 406-MHz. The antenna is just a simple linearly polarized vertical, so for purposes of estimating the effective power, I will use 0-dB gain for the antenna. There is no transmission line loss as the antenna is integral with the transmitter.
Receiver Sensitivity SpecificationIn the design specification mentioned above in the second article in this thread, the anticipated signal at the receiver input is mentioned as -161 dBW, which is a reference to 1-watt. Converting that specification to dBm or reference to milliWatts, shifts the reference by 30-dB (the difference between 1-Watt and 0.001-Watt) so the signal level in dBm expected at the receiver is -131 dBm.
There is also a mention of a loss of -1.6 dB in the receiver feed line. And from the graphic showing antenna gain as a function of the angle the signal arrives at the antenna, the worst case is a gain of 11.6 dB (at ±13-degrees off nadir). Another consideration is the polarization of the receiving antenna; it appears to be a circularly polarized antenna, but the transmitted signal is coming from a linearly polarized antenna. What this means, however, is that no matter the orientation of the transmitting antenna there won't be any loss due to cross-polarization as the linear antenna changes position.
One additional element to add to the calculations is the desired signal margin, that is, how much loss of signal can the specification tolerate. This parameter might be specified in the design goal, but a reasonable estimate to improve reliability would be to add 6 dB to the minimum possible signal level to allow for some fading, which is generally referred to as the fade margin. This increases the minimum signal at the receiver to -125 dBm from -131 dBm.
Putting all these figures into a calculation can help determine how much distance in the path between transmitter and receiver can be tolerated, assuming you know something about the anticipated path loss. Here I assume the path is a line-of-sight (no obscuring terrain or objects in the path from sea to sky), and the attenuation will be the "free space" rate of inverse-square law decrease.
When a GALILEO satellite happens to be directly overhead, the path length will be the shortest, that is, the orbit height of the satellite above the Earth (14429-miles or 23,222-km path length) and nadir angle will be boresight resulting in the highest antenna gain (13.4 dBi), giving 7.75 dB fade margin instead of the estimated 6-dB.
When the satellite is not directly overhead, the path will be longer. In a separate article I have calculated the path length when the GALILEO satellite appears at an elevation angle of only 15-degrees to the observer to be 16,959-miles or 27,293-km. With this path the antenna gain reduces to 11.5-dB due the signal arriving off boresight and the path loss increases due to greater distance. At this range and nadir angle the fade margin is reduced to 4.6-dB.
The receive antenna pattern is only shown for ±13-degrees off nadir, but because of the high orbital height this covers a huge percentage of the Earth that is in view. (See
separate article for analysis.)
Regarding the satellite orbits themselves, the GALILEO orbit is inclined 56-degrees. This means that the highest latitude possible in their orbit for being directly overhead is 56-degrees North or South. The SARSAT organization doesn't have any say in the GALILEO orbit geometry, so they just have to accept that the GALILEO satellites have some limitation in higher latitudes.