Information content of interferometric delay-rate measurements for planetary orbiter navigation

Spacecraft such as Magellan and Mars Observer will use earth-based interferometric delay-rate tracking to meet their navigation requirements. Examples of methods used to implement these measurements are Differenced One-Way Doppler, delta-Differenced One-Way Doppler, and Two-Way Minus Three-Way Doppler. These measurements have a greater capability to observe certain orbital elements than that possessed by two-way Doppler, which has been the sole data type used in all U.S. planetary orbiter missions to date. In this paper, an approximate analytic model is developed for delay-rate measurements, as a function of classical orbital elements. The resulting expressions are used to show how the information content of these data types varies with orbit size, shape, and orientation. Comparison is made with the information content of Doppler data, using orbital element sets derived from the Magellan and Mars Observer missions. Results indicate that navigation accuracy improvements obtained by augmenting Doppler data with delay-rate measurements are greatest for spacecraft in low-altitude circular orbits; but decrease steadily for orbits of progressively greater size and eccentricity. The differences in Doppler-only and Doppler plus delay-rate orbit determination accuracies were also found to be highly dependent on Doppler measurement accuracy.