  If R-parity conserving supersymmetry exists below the TeV-scale, new
particles will be produced and decay in cascades at the LHC. The lightest
supersymmetric particle will escape the detectors, thereby complicating the
full reconstruction of the decay chains. In this paper we expand on existing
methods for determining the masses of the particles in the cascade from
endpoints of kinematical distributions. We perform scans in the mSUGRA
parameter space to delimit the region where this method is applicable. From the
examination of theoretical distributions for a wide selection of mass scenarios
it is found that caution must be exerted when equating the theoretical
endpoints with the experimentally obtainable ones. We provide analytic formulae
for the masses in terms of the endpoints most readily available. Complications
due to the composite nature of the endpoint expressions are discussed in
relation to the detailed analysis of two points on the SPS~1a line. Finally we
demonstrate how a Linear Collider measurement can improve dramatically on the
precision of the masses obtained.
