What is Orbital Communications & Attenuation?
Mathematical Foundation
Laws & Principles
- Effective Isotropic Radiated Power (EIRP): Antenna gain acts as a mathematical multiplier by focusing a radio signal like a flashlight instead of a lightbulb. Adding the transmitter's raw power to its structured antenna gain calculates its true directional broadcast strength.
- The Inverse-Square Law in RF: As a radio wave travels through the vacuum of space, it geometrically expands. Because it expands spherically, the signal strength decays exponentially with distance. This is calculated logarithmically via FSPL.
- High Frequency Physics: At higher frequencies (Ku/Ka-band GHz), the wavelengths are physically shorter. Consequently, they interact far more aggressively with physical atmospheric particles (like rain fade), compounding the baseline space loss.
Step-by-Step Example Walkthrough
" A geostationary satellite (35,786 km altitude) transmits a 12 GHz signal using 40 dBm of power through a high-gain 15 dBi dish. The ground station uses a 30 dBi receiver dish. "
- 1. Determine EIRP: 40 dBm (Power) + 15 dBi (Tx Gain) = 55 dBm.
- 2. Calculate FSPL at 12 GHz over 35,786 km: (20 × log10(35,786)) + (20 × log10(12)) + 92.45 = 205.14 dB of path loss through space.
- 3. Arrive at Rx Antenna: The signal hits the ground dish at (55 EIRP - 205.14 FSPL) = -150.14 dBm.
- 4. Calculate Final Received Power: Applying the massive 30 dBi ground receiver gain bumps the final processed signal up to -120.14 dBm.