Elsevier

Acta Astronautica

Volume 203, February 2023, Pages 112-124
Acta Astronautica

Design and performance of a Martian autonomous navigation system based on a smallsat constellation

https://doi.org/10.1016/j.actaastro.2022.11.041Get rights and content

Highlights

  • Polar constellation of small satellites on Mars.

  • Provide navigation services for Martian landers, rovers, and orbiters.

  • Quasi-autonomous constellation ephemeris reconstruction.

  • Novel tracking technique for inter-satellite link.

Abstract

Deciphering the genesis and evolution of the Martian polar caps can provide crucial understanding of Mars' climate system and will be a big step forward for comparative climatology of the terrestrial planets. The growing scientific interest for the exploration of Mars at high latitudes, together with the need of minimizing the resources onboard landers and rovers, motivates the need for an adequate navigation support from orbit. In the context of the ARES4SC study, we propose a novel concept based on a constellation that can support autonomous navigation of different kind of users devoted to scientific investigations of those regions. We study two constellations, that differ mainly for the semi-major axis and the inclination of the orbits, composed of 5 small satellites (based on the SmallSats design being developed in Argotec), offering dedicated coverage of the Mars polar regions. We focus on the architecture of the inter-satellite links (ISL), the key elements providing both ephemerides and time synchronization for the broadcasting of the navigation message. Our concept is based on suitably configured coherent links, able to suppress the adverse effects of on-board clock instabilities and to provide excellent range-rate accuracies between the constellation's nodes. The data quality allows attaining good positioning performance for both constellations with a largely autonomous system. Indeed, we show that ground support can be heavily reduced by employing an ISL communication architecture. Periodic synchronization of the clocks on-board the constellation nodes with terrestrial time (TT) is enabled through the main spacecraft (the mother-craft), the only element of the constellation enabling radio communication with the Earth. We report on the results of numerical simulations in different operational scenarios and show that a very high-quality orbit reconstruction can be obtained for the constellation nodes using a batch-sequential filter or a batch filter with overlapping arcs, that could be implemented on board the mother-craft, thus enabling a high level of navigation autonomy. The assessment of the achievable positioning accuracy with this concept is fundamental to evaluate the feasibility of a future positioning system providing a global coverage of the red planet.

Introduction

The growing interest in the exploration of celestial bodies of the Solar System motivates the attention towards new navigation systems, capable of effectively supporting the new scientific and commercial missions planned in the coming years.

The objective of this work is to study a navigation system consisting of a constellation of small satellites that can handle, in almost complete autonomy, the relative and absolute positioning of its nodes around planetary bodies. This system must be able to provide the necessary tools to support the navigation of other probes (e.g., objects in Entry, Descent and Landing (EDL) phase, landers, rovers, or orbiters). Using small satellites leads to low development and launch costs, short development times, and offer good flexibility in mission implementation since multiple systems can be launched simultaneously with dedicated launches or as secondary payloads of larger missions.

The navigation system is based on radio observables obtained from the inter-satellite link (ISL) between the constellation satellites, heavily reducing the needs for ground support. The use of ISL technologies is widely recognized for its extraordinary results in terrestrial and planetary geodesy (GRACE and GRAIL missions) [1,2]. We demonstrate that the same concept of ISL, in the innovative configuration recently proposed [3,4] can provide observable quantities of high quality, enabling precise orbital determination, if applied to constellations with spacecraft on different orbital planes. Since the ISL provides information only on the relative motion between the spacecraft, the accurate knowledge of the Martian gravity field and rotational state acquired with previous mapping missions like MRO, MGS and Mars Odyssey [5,6], is fundamental, because it allows the conversion to absolute positioning.

We examine two different quasi-autonomous constellations of 5 SmallSats, in terms of orbital configuration and system requirements, and we compare their accuracy in terms of satellite positioning. Both constellations have a local coverage of the Mars polar regions, but this concept could be expanded to a global navigation system of the planet. The focus on the Martian polar caps origins from the need for a deep understanding of the connection between the polar deposits and the Martian climate to understand the Martian climate system [7].

The orbital period of the constellation has been selected equal to half of Mars' rotation period for the first constellation, and equal to a quarter of Mars rotation period for the second one, to have repeating ground tracks. The orbits are quasi-circular, resulting in an altitude of around 9500 km and of 4740 km, for the first and second constellation, respectively. The orbits are designed to provide navigation support during the EDL phase of a probe at high latitudes and to allow the positioning of rovers for the exploration of the Martian polar regions.

This study allows the demonstration of communication architectures potentially useful for subsequent applications, such as a future positioning system that provides global coverage of the planet.

This paper is organized as follows. In Sec. 2, we describe the design of the two constellations in terms of orbital configurations. In Sec. 3, we introduce the navigation system design based on the novel inter-satellite radio-tracking technique advised to precisely determine the orbits of the satellites, and then we focus on its implementation on the spacecraft platform. Starting from the architectural choices, in Sec. 4, we present the radio-tracking system in terms of error budgets, preparatory to the computation of the positioning performance for the two constellations. Then, in Sec. 5 we explain the orbit determination procedure, and in Sec. 6 we describe the numerical simulations in different mission scenarios for both constellations in orbit about Mars. Lastly, in Sec. 7 Autonomous system results, 8 Quasi-autonomous system results, we show the results of the numerical simulations in autonomous and quasi-autonomous configurations to demonstrate that excellent orbital accuracies can be obtained for a constellation of SmallSat on Mars. Sec 9 gives concluding remarks.

Section snippets

Constellation design

This study is aimed at realizing a low-cost mission to offer a local communication and navigation system. The constellations’ orbits have been designed to optimize the coverage on Mars polar regions, which are selected for scientific purposes. However, this architecture is scalable and could be expanded to realize a global navigation system or could be a part of a more complex mission concept, like MOSAIC [8].

The two constellations presented in this work are both composed of 5 spacecraft

Navigation system design

Deep-space ISL applications have been proposed for a variety of scenarios, spanning from the interplanetary range (e.g. Refs. [9,10]) to the atmospheric probing [11], or gravity field determination [12].

The first operative application of ISL outside of the Earth orbit has been accomplished with the GRAIL mission [2], where an inter-satellite link has been established between two spacecraft flying in precision formation around the Moon. The GRAIL concept was derived from the GRACE Earth mission

Radio-tracking system

This section describes the error budgets for both Earth link and ISL Doppler observables.

Orbit determination procedure

To investigate the performance of the mission concept ARES4SC, the first step of the orbit determination (OD) procedure is the generation of realistic data from the s/c, called synthetic observables. These are collected using a simulator that obtains a reference trajectory propagating the orbits starting from the chosen initial conditions, using a provided dynamical model. Then, an observational model and a realistic noise process are implemented to simulate the observables. The key part of the

Numerical simulations

In our numerical simulation, we have created synthetic observables by adding a realistic measurement noise for ISL and ground-tracking based on the error budgets shown in Section 4. As shown, the ISL radio link accuracy depends on the inter-satellite distance, while the Earth-link accuracy have been set to 0.04 mm/s @ 60s, all in X-band.

The error budget of the pseudolites links has not been investigated in this study, where we conservatively assumed the same accuracy of the Earth link.

To

Autonomous system results

We report in Fig. 10, Fig. 11, the estimation error, i.e., the difference between the estimated and simulated trajectories, the 1-σ and 3-σ uncertainties for the case with ISL alone, of the R, T and N components for the two constellations using both filters.

This analysis shows, in the case of ISL-only and constellation A, that the trajectories cannot be recovered with confidence (the error in the normal component is larger than formal uncertainty). As shown in Fig. 10, with both filters, we

Quasi-autonomous system results

In this Section, the orbit determination is performed in a case of a quasi-autonomous system, realized alternating the ISL with ground-tracking or with the use of pseudolites on the Martian surface.

Conclusions

We proposed a satellite navigation system able to determine, in almost complete or full autonomy, depending on the altitude of the orbits, the ephemeris of the constellation and we analysed the positioning performance in terms of satellites absolute positioning with respect to Mars. This system exploits a Martian constellation of 5 small satellites on three quasi-circular high-altitude polar orbits, connected via microwave ISL that generate high accuracy Doppler observables.

This navigation

Declaration of competing interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Acknowledgments

Part of this work was supported by a scientific agreement among University of Rome Sapienza, Italian National Research Council (CNR), and Argotec s. r.l. for a Ph.D. doctorate in aerospace engineering.

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