Full paper in PDF:
$%R. Barrio and A. Elipe, Compression of satellite data, Rev. Mat. Complut. 15 (2002), no. 1,
85–100.%$
ABSTRACT
In this paper, we present the simple and double compression algorithms with an
error control for compressing satellite data corresponding to several revolutions.
The compressions are performed by means of approximations in the norm
by finite series of Chebyshev polynomials, with their known properties of fast
evaluation, uniform distribution of the error, and validity over large intervals of
time. By using the error control here introduced, the number of terms of the
series is given automatically for a predetermined tolerance. As illustration, we
apply the method to the orbits of SPOT, TOPEX/POSEIDON and SKYBRIDGE
satellites.
2000 Mathematics Subject Classification: 68P30, 42C15, 90C47.