Conditional Contact Angle Distribution in LEO Satellite-Relayed Transmission

TL;DR

This paper derives the analytical distribution of the contact angle conditioned on satellite connectivity in LEO satellite relay systems, and applies it to analyze coverage and data rates.

Contribution

It provides the first analytical expression for the conditional contact angle distribution in LEO satellite relays, enabling improved stochastic geometry analysis.

Findings

Derived the CDF of the conditional contact angle.

Analyzed satellite inaccessibility using the contact angle.

Evaluated coverage probability and data rate in LEO relay systems.

Abstract

This letter characterizes the contact angle distribution based on the condition that the relay low earth orbit (LEO) satellite is in the communication range of both the ground transmitter and the ground receiver. As one of the core distributions in stochastic geometry-based routing analysis, the analytical expression of the \ac{CDF} of the conditional contact angle is derived. Furthermore, the conditional contact angle is applied to analyze the inaccessibility of common satellites between the ground transmitter and receiver. Finally, with the help of the conditional contact angle, coverage probability and achievable data rate in LEO satellite-relayed transmission are studied.