The Priced Ephemeris: Error Budgets of the Public Tracking Pipes and the Minimum Claim Each Can Honestly Carry

Every orbit-based claim rides on an ephemeris, and every ephemeris has a price: an error budget that decides the smallest claim it can honestly carry. This paper prices the four public tracking pipes the house programme will consume — TLE/SGP4, Conjunction Data Messages, satellite laser ranging, and Deep Space Network Doppler and ranging — in one common currency: delivered precision, error-growth behaviour, and minimum claim size under a stated carrying rule. The budgets differ by six orders of magnitude. A two-line element set carries a position claim no smaller than ~5 km at epoch and ~11–35 km after three days; a laser-ranged orbit carries one of ~10 cm; a DSN-tracked probe carries a line-of-sight velocity claim of ~0.5 mm/s and no useful claim at all about an Earth orbiter it never tracked. A worked example prices one hypothetical anomaly — a 2.50 km along-track displacement at two days — against every pipe with the arithmetic shown: killed by TLE/SGP4 at 0.5σ, not carried by CDM covariance at 1.7σ, carried by SLR at over 10⁵σ on its ranging component subject to a retroreflector condition, and carried in velocity by DSN if — and only if — the object is a DSN-tracked probe. The paper closes with the carrier table itself and the citation rule that goes with it: no house orbit-based claim ships without naming its pipe, its epoch distance, and its claim-to-error ratio.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-05
DOI
https://doi.org/10.5281/zenodo.23984648
Primary Topic
Space Satellite Systems and Control
Type
preprint
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The Priced Ephemeris: Error Budgets of the Public Tracking Pipes and the Minimum Claim Each Can Honestly Carry

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Space Satellite Systems and Control
preprint

The Priced Ephemeris: Error Budgets of the Public Tracking Pipes and the Minimum Claim Each Can Honestly Carry

William Alexander Aldred
preprint en

Abstract

Every orbit-based claim rides on an ephemeris, and every ephemeris has a price: an error budget that decides the smallest claim it can honestly carry. This paper prices the four public tracking pipes the house programme will consume — TLE/SGP4, Conjunction Data Messages, satellite laser ranging, and Deep Space Network Doppler and ranging — in one common currency: delivered precision, error-growth behaviour, and minimum claim size under a stated carrying rule. The budgets differ by six orders of magnitude. A two-line element set carries a position claim no smaller than ~5 km at epoch and ~11–35 km after three days; a laser-ranged orbit carries one of ~10 cm; a DSN-tracked probe carries a line-of-sight velocity claim of ~0.5 mm/s and no useful claim at all about an Earth orbiter it never tracked. A worked example prices one hypothetical anomaly — a 2.50 km along-track displacement at two days — against every pipe with the arithmetic shown: killed by TLE/SGP4 at 0.5σ, not carried by CDM covariance at 1.7σ, carried by SLR at over 10⁵σ on its ranging component subject to a retroreflector condition, and carried in velocity by DSN if — and only if — the object is a DSN-tracked probe. The paper closes with the carrier table itself and the citation rule that goes with it: no house orbit-based claim ships without naming its pipe, its epoch distance, and its claim-to-error ratio.

Zenodo (CERN European Organization for Nuclear Research)
Space Satellite Systems and Control
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