Lumio (Lunar Meteoroid Impact Observer)
LUMIO is a mission designed to observe, quantify, and characterize the meteoroid impacts by detecting their flashes on the lunar farside. Earth-based lunar observations are restricted by weather, geometric, and illumination conditions, while a lunar orbiter can improve the detection rate of lunar meteoroid impact flashes, as it would allow for longer monitoring periods. 1) 2) 3)
LUMIO is designed for the ESA SysNova LUCE competition, 4) that resulted as the ex-aequo winner in the competition. LUMIO, a 12U CubeSat with a mass of approximately 20 kg, is expected to be deployed into a quasi-polar selenocentric orbit by a mother spacecraft, which also acts as communication relay. From a lunar high-inclination orbit, LUMIO will autonomously determine its trajectory to reach the MEL2 (Moon–Earth L2) point and perform the cruise phase. From the operative orbit, LUMIO will observe the lunar farside. When the lunar disk illumination is less than 50%, LUMIO autonomously performs the scientific task without direct coordination from Earth. Fully autonomous operations will include science, communication, and navigation.
Note: Lumio is one of the two winners of an ESA General Studies Program SysNova contest to design CubeSat missions to the Moon. The LUMIO mission was proposed by a consortium including Politecnico Di Milano (IT); TU Delft (NL); EPFL (École Polytechnique Fédérale de Lausanne) (Switzerland); S[&]T Norway (NO); Leonardo S.p.A (IT); and the University of Arizona (US). - LUMIO is a CubeSat mission to a halo orbit at Earth–Moon L2 that shall observe, quantify, and characterize meteoroid impacts on the Lunar farside by detecting their impact flashes, complementing Earth-based observations on the Lunar nearside, to provide global information on the Lunar Meteoroid Environment and contribute to Lunar Situational Awareness.
Scientific relevance: Impacts due to NEOs (Near Earth Objects) could cause a devastating humanitarian crisis and potentially the extinction of humanity. While the probability of such an event is very low, the outcome is so catastrophic that it is imperative to invest resources to mitigate them. Telescopic surveys detect NEO greater than 1 km down to 1 meter in size, but there are few direct methods for monitoring the sub-meter meteoroid population. Serendipitous monitoring of atmospheric explosions due to airbursts of meteoroids are being undertaken. These objects are part of the ~33 metric tons of debris impacting the Earth each day.
Meteoroids are small Sun-orbiting fragments of asteroids and comets, whose sizes range from micrometers to meters and masses from 10-15 to 104 kg. Formation of meteoroids is a consequence of asteroids colliding with each other and/or with other bodies, comets releasing dust particles when close to the Sun, and minor bodies shattering into individual fragments. Meteoroids are hardly detectable even with dedicated surveys. However, they may be observed indirectly when an impact occurs with a planetary or moon solid surface. An impact represents in fact a unique opportunity to understand and update the models describing the spatial distribution of NEO in the solar system, which is critical for several reasons. The ability to accurately and timely predict these impacts by relying on accurate meteoroid impact flux models is fundamental in many fields.
Lunar meteoroid impacts: Current estimations of the > 1 kg meteoroid flux at the Moon varies across the literature. 1290 impacts per year are estimated, 5) while estimates approximately 4000 impacts per year. 6) 7) More recent studies suggest that the meteoroid impact flux at the Moon is approximately 6 x 10-10 m2/year, for meteoroids larger than 30 grams. 8) Assuming a lunar collecting area equal to its surface area, i.e., 3.8 x 1013 m2, this gives a >30 grams meteoroid flux of approximately 23,000 impacts per year.
There are also speculations on the possible asymmetries of the spatial distribution of impacts across the lunar surface. In [9)], it is theorized that the Moon nearside has approximately 0.1% more impacts than the lunar farside, due to the Earth gravity field; the equatorial flux is 10–20% larger than that at polar regions, due to the higher number of large meteoroids in low orbital inclinations; and the lunar leading side (apex) encounters between 37 and 80% more impactors than the trailing side (antapex), due the Moon synchronous rotation.
In a lunar meteoroid impact, the kinetic energy of the impactor is partitioned into 1) the generation of a seismic wave, 2) the excavation of a crater, 3) the ejection of particles, and 4) the emission of radiation. Any of these phenomena can be observed to detect lunar meteoroid impacts. The detection of lunar impact flashes is the most advantageous method since it yields an independent detection of meteoroid impacts, provides the most complete information about the impactor, and allows for the monitoring of a large Moon surface area. Remote observation of light flashes is thus baselined for the detection of lunar meteoroid impacts. 10)
Sun–Earth–Moon geometry: The Moon spin–orbit motion is locked into a 1:1 resonance, meaning that an observer on Earth always sees the same portion of the Moon, that is the lunar nearside. This characteristic, in addition to the fact that a fixed observer on Earth also moves with respect to the Moon, as the Earth rotates about its own axis, constrains the observation of the Moon from Earth.
Since the Moon–Sun synodic period is 29.53 days, the illumination of the lunar nearside varies and originates the Moon phases. Because lunar impact flashes can only be observed from ground on the lunar night side and when the lunar nearside is less than 50% illuminated, flash detection from Earth is constrained by the Sun–Earth–Moon geometry. An observer of the lunar farside would also be constrained by the Sun–Moon geometry, but would see temporally opposite phases. As such, assuming that the lunar farside would also have to be less than 50% illuminated, the observations would occur during the opposite time of the month. Figure 1 shows the Moon phases and main directions of incoming meteoroids in the Earth–Moon system (North and South Toroidal sources are perpendicular to the plane). The dashed green line represents the portion of the Moon orbit where Earth-based observations of the nearside can be made. The solid blue line indicates the portion of the Moon orbit where spaceborne observations of the farside can be made.
Observing the lunar impacts with spaceborne assets yields several benefits over ground-based telescopes, namely:
• No atmosphere. Ground-based observations are biased by the atmosphere that reduces the light flash intensity depending upon present conditions, which change in time. This requires frequent recalibration of the telescope. Inherent benefits of the absence of atmosphere in spaceborne observations are twofold: 1) there is no need of recalibrating the instrument, and 2) fainter flashes may be detected.
• No weather. Ground-based observations require good weather conditions, the lack of which may significantly reduce the observation time within the available window. There is no such constraint in spaceborne observations.
• No day/night. Ground-based observations may only be performed during Earth night, significantly reducing the observation period within the available window. There is no such limitation when spaceborne observations are performed.
• Full disk. Ground-based observations are performed in the first and third quarter, when nearside illumination is 10–50%. Full-disk observations during New Moon are not possible because of low elevation of the Moon and daylight. Spaceborne observations of the lunar farside can capture the whole lunar full-disk at once, thus considerably increasing the monitored area.
• All longitudes. Ground-based observations happening during the first and third quarter prevent from resolving the meteoroid flux across the central meridian. There is no such restriction in spaceborne full-disk observations.
Moreover, observing the lunar farside with spaceborne assets yields further benefits, that is:
• No Earthshine. By definition, there is no Earthshine when observing the lunar farside. This may yield a lower background noise, thus enabling the detection of fainter signals, not resolvable from ground.
• Complementarity. Spaceborne observations of the lunar farside complement ground-based ones
- in space. The two opposite faces of the Moon are monitored when the Moon is in different locations along its orbit;
- in time. Space-based observations are performed in periods when ground-based ones are not possible, and vice-versa.
High-quality scientific products can be achieved with spaceborne observations of the lunar farside. These may complement those achievable with ground-based ones to perform a comprehensive survey of the meteoroid flux in the Earth–Moon system.
Figure 1: Geometry for meteoroid impact flash detection. Moon phases and main directions of incoming meteoroids in the Earth-Moon system (North and South Toroidal sources are perpendicular to the plane). The dashed green line represents the portion of the Moon orbit where Earth-based observations of the nearside can be made. The solid blue line indicates the portion of the Moon orbit where space-based observations of the farside can be made (image credit: LUMIO collaboration) 11)
Lunar meteoroid impact flash detection: Light flashes at the Moon are typically observed by detecting a local spike of the luminous energy in the visible spectrum when pointing a telescope at the lunar night side. The background noise is mainly composed by the Earthshine (Earth reflected light on the Moon surface) in the visible spectrum, and by thermal emissions of the Moon surface in the infrared spectrum. 12) Measurements with high signal-to-noise ratios (SNR) may be obtained through observations of the lunar night side. 13) The detected luminous energy spike is quantified using the apparent magnitude of the light flash.
Lunar impact flashes detected from Earth-based observations have apparent magnitude between +5 and +10.5 (Ref. 9), corresponding to faint signals. Also, Earth-based observations of lunar impact flashes are restricted to periods when the lunar nearside illumination is 10–50% (Ref. 6). 14) The upper limit restriction is due to the day side of the Moon glaring the telescope field of view (FOV). The lower limit restriction of 10% corresponds to the New Moon phase. During this phase, the observations should be made when the Moon presents itself at low elevations in the sky (morning or evening), but the observation periods are too short to be useful.
The first unambiguous lunar meteoroid impact flashes were detected during 1999's Leonid meteoroid showers and were reported in (Ref.13). The first redundant detection of sporadic impacts was only reported six years later (Ref. 6). These events gave origin to several monitoring programs. In 2006, a lunar meteoroid impact flashes observation program was initiated at NASA Marshall Space Flight Center (Ref. 14). This facility can monitor 4.5 x 106 km2 of the lunar surface, approximately 10 nights per month, subject to weather conditions. Approximately half of the impact flashes observations occur between the Last Quarter and New Moon (0.5 to 0.1 illumination fraction) and the other half between New Moon and First Quarter (0.1 to 0.5 illumination fraction). The former monitoring period occurs in the morning (waning phase) and the latter occurs in the evening (waxing phase), covering the nearside part of the eastern and western lunar hemisphere, respectively. 126 high-quality flashes were reported in (Ref. 8), for 266.88 hours of monitoring, over a 5 years period. The magnitude range detected is between +10.42 and +5.07, which is estimated to correspond to an impactor kinetic energy range between 1.67 x 10-7 and 2.31 x 10-4 kton TNT. The most recent monitoring program, NELIOTA, was initiated on February 2017 in Greece under ESA funding. 15) As of November 2017, 16 validated impacts have been detected over 35 hours of observations. The program aims to detect flashes as faint as +12 apparent visual magnitude and is the first allowing the determination of the impact flash blackbody temperature, by observing both in the visible and infrared spectrum. 16) Monitoring the Moon for impact flashes inherently imposes several restrictions that can be avoided if the same investigation is conducted with space-bases assets.
LUMIO is a CubeSat mission to a quasi-halo orbit at Earth–Moon L2 that shall observe, quantify, and characterize meteoroid impacts on the lunar farside by detecting their impact flashes, complementing Earth-based observations on the lunar nearside, to provide global information on the lunar meteoroid environment and contribute to LSA (Lunar Situational Awareness). The LUMIO mission is conceived to address the following:
• Science Question: What are the spatial and temporal characteristics of meteoroids impacting the lunar surface?
• Science Goal. Advance the understanding of how meteoroids evolve in the cislunar space by observing the flashes produced by their impacts with the lunar surface.
• Science Objective. Characterize the flux of meteoroids impacting the lunar surface.
The observation of the light flashes produced by meteoroid impacts on the Moon far-side is performed through the LUMIO-Cam, the main payload of LUMIO. The impact flashes on the Moon can be modelled as black body emissions (Ref. 9), with temperatures between 2700 and 6000 K , and durations greater than 30 ms (Ref.8). The lowest impact energies correspond to apparent magnitudes higher than +6 as seen from Earth. These characteristics drive the payload requirements, both in terms of the camera detection and optics, and payload physical properties such as total mass, volume, power consumption, and storage.
Detector: The baseline detector is the CCD201 of e2V L3VisionTM . This device is a 1024 x 1024 pixel frame-transfer sensor that uses a novel output arrangement, capable of operating at an equivalent output noise of less than one electron at pixel rates of roughly 15 MHz. This makes the sensor well-suited for scientific imaging where the illumination is limited and the frame rate is high, as it is for LUMIO. The sensitivity of this detector extends towards the near-infrared (NIR) region, which allows to better exploit the emission of radiation due to the impacts. The detector features are reported in Table 1.
Table 1: Properties of the LUMIO-Cam detector
Optics: In view of LUMIO's operative orbit, for which the spacecraft-Moon range spans between 35,525 and 86,551 km, a minimum payload field of view of 5.6º is necessary to have always the Moon full disk view. To compensate for pointing errors, a 6º FOV is considered with a 127 mm focal length. The LUMIO-Cam optics features are: FOV=6.0º, focal length = 127 mm, aperture= 55 mm.
Mechanical layout: The mechanical layout of LUMIO-Cam is shown in Figure 2. The mechanical layout includes a mechanical barrel supporting five lenses, an entrance baffle for out-of-field straylight reduction, a focal plane assembly, a proximity electronics box, and an external box for mechanical protection.
Figure 2: LUMIO-Cam optomechanical assembly (left) and external box (right), image credit: LUMIO collaboration
Budget: The mass and power budgets are reported in Table 2 and Table 4, respectively, where a 20% margin is considered owing to the early stage of the design. The LUMIO-Cam total margined mass is 1.56 kg and its worst-case power consumption (margined) is 4.2 W. In the power budget, the detector, the TEC (Thermoelectric Cooler), and the electronics are considered.
Table 2: Mass budget
Table 3: Power budget
Radiometric analysis: A radiometric analysis employing the LUMIO-Cam properties is performed to assess the capability of the payload to detect the phenomenon under study. The detector collects photons emitted by the impact flash, but also some undesired signals, which are considered as noise, e.g., the straylight background noise, the dark current, the CCD readout noise. The SNR, output of the radiometric analysis, is higher than 5 dB, assuring the detectability of the range of meteoroid impact energies.
On-board payload data processing: On-board image processing is required due to the high amount of data generated by the payload. For an acquisition rate of 1.8 MB images at 15 fps, the data products of the payload would be around 2.4 TB/day of science acquisitions. To reduce this amount, the on-board payload data processing (OBPDP) detects flashes in the images and stores only the images with scientific relevance. This leads to a reduction by a factor of about 23,000. Since not all pixels of the full frame image are scientifically relevant data, the OBPDP also cuts everything outside an area around the flash. In this way, from 35.7 TB gathered during a LUMIO orbit period (~14.7 days), 13 MB of data needs to be stored (Figure 3).
Figure 3: Data amount reduction (image credit: LUMIO collaboration)
It has been shown that remotely detecting flashes is the only technically and economically viable option for a CubeSat to monitor meteoroid impacts on the lunar surface (Ref. 10). When considering the conclusions of the preliminary and coverage trade-offs, the mission type flight heritage, and solar eclipse occurrences, the Earth–Moon L2 halo family is baselined for the LUMIO mission. The vertical Lyapunov orbit family is selected as back-up plan but is not detailed in this paper. The mission is divided in four well defined phases (Figure 4).
End of Life (EoL):
Figure 4: Sketch of LUMIO mission phases(image credit: LUMIO collaboration)
Earth–Moon L2 quasi-halos in high-fidelity model: A set of quasi-periodic halo orbits (sometimes referred here as quasi-halos or quasi-halo orbits) about the Earth–Moon L2 are found by employing the methodology described in [17)]. Fourteen quasi-halo orbits are computed in the high-fidelity roto-pulsating restricted n-body problem (RPRnBP) and saved as SPICE kernels. The initial feeds to compute the quasi-halo samples are Earth–Moon three-body halos at 14 different Jacobi constants, ranging from Cj = 3.04 to Cj = 3.1613263. The latter value corresponds to the one assumed for the very first iteration of the activities. All orbits are computed starting from 2020 August 30 00:00:00.00 dynamical barycentric time (TDB). Although quasi-halos, shown in Figure 5, are computed for a fixed initial epoch, the persistence of libration point orbits in the solar system ephemeris model allows wide freedom in the refinement algorithm, which also includes the mission starting at different epochs. 18) 19)
Note: SPICE is NASA's Observation Geometry and Information System for Space Science Missions. The toolkit is freely available through the NASA NAIF website.
Figure 5: Projection of Earth-Moon L2 quasi-halos in the roto-pulsating frame (image credit: LUMIO collaboration)
Quasi-halo orbits of Figure 5 are all possible LUMIO operative orbits. As the orbit becomes more energetic (or as its CRTBP Jacobi constant decreases), the quasi-halo exhibits a wider range of motion both in terms of Moon range and of geometrical flight envelope about the corresponding circular restricted three-body problem (CRTBP) trajectory. The latter trend is disadvantageous when a hard-pointing constraint must be respected, e.g., Moon full disk on optical instrument. On the other hand, the lunar distance places a constraint on the minimum FOV for the optical instrument on board LUMIO to be able to resolve the Moon full disk at any location along the quasi-halo.
Orbital transfer to quasi-halo orbit: The transfer phase of LUMIO is done entirely in the CRTBP. Free transport mechanisms are leveraged to reach a target halo. Specifically, intersection in the configuration space is sought between the halo stable manifolds and a selenocentric transition orbit. Since the intersection occurs only in configuration space, a maneuver is necessary for orbital continuity. This maneuver places the spacecraft on the stable manifold of the target halo and is thus called stable manifold injection maneuver, ΔvSMIM. The transfer phase starts when the SMIM (Stable Manifold Injection Maneuver) is executed, and ends after the halo injection maneuver, ΔvHIM, inserts the S/C into the target halo orbit. The aim of the transfer design analysis is to find the parameters of the selenocentric transition orbit and the stable manifold that lead to a minimum ΔvSMIM at the intersection. The optimization problem is stated as a nonlinear programming problem (NLP) method and then solved with Matlab active-set algorithm. The transfer parameters to quasi-halo generated by Cj = 3.09 are shown in Table 4. As expected, the SMIM occurs at the periselene of the transition orbit, i.e., θ ≈0º. The transition orbit inclination lies within the parking orbit bounds, and no plane change maneuver is necessary.
Table 4: Main parameters for the transfer phase
Station-keeping on quasi-halo orbit: Considering the limited Δv capability, propellant consumption for station-keeping (S/K) on the operative orbit is a critical factor for mission sustainability. Using the generated quasi-halo orbits as reference trajectories, an effort is directed toward the development of a station-keeping strategy that can be used to maintain CubeSats near such nominal libration point orbits (LPO). The S/K cost is estimated by employing the target points method (TPM) first introduced in [20)], then adapted to the problem of LPO by [21)], and finally used for JAXA's EQUULEUS mission analysis [22)]. A massive Monte-Carlo simulation is performed with 10000 samples, considering the impact of the injection, tracking, and maneuver execution processes on the nominal orbit determined in the presence of solar radiation pressure and gravity of the main solar system celestial bodies (i.e., Sun, 8 planets, the Moon, and Pluto). The errors on orbit injection, orbit determination, and the maneuver execution are all modeled and generated with zero-mean Gaussian distributions, where position, velocity, and maneuver offset covariances are set to 10 km, 10 cm/s, and 2%, respectively. This is compliant with the expected navigation performances. 23) The TPM parameters and the S/K maneuver epochs are fine-tuned for the LUMIO specific application with a direct simulation technique. 24)
LUMIO operative orbit: Figure 6 shows the total transfer cost for different halos. The cost includes S/K, SMIM, and plane change maneuvers. It is conjectured the reason why the transfer cost has a clear-cut minimum area is twofold: for high energy levels (low Jacobi constant), the stable manifold configuration space does not get close enough to the Moon to permit intersection with the selenocentric transition orbit; while for high Jacobi constant values, the stable manifolds cross the lunar region sufficiently close to provide patching opportunities with a selenocentric transition orbit, but the velocity mismatch is comparatively large, that is the outbound stable manifold is much faster than the spacecraft at periselene. 25) 26)
The quasi-halo generated for Cj = 3.09 is the designated LUMIO operative orbit. The selection of the LUMIO operative orbit is based on results of Figure 6. Indeed, the quasi-halo is located at the center of a minimum plateau for total transfer cost which provides both a) optimality of maneuvers cost, and b) robustness against errors in the actual energy level of the injected stable manifold.
Mission Δv budgets for each maneuver and phase are reported in Table 5 with both deterministic and confidence values. The 1σ total cost is 154.4 m/s, which is also in line with a 12U CubeSat volume and mass budgets. Note that Item MAT-DV-14 of  states that stochastic maneuvers shall be calculated based on the 3σ confidence interval with no additional margins. The choice to consider a 1σ confidence interval on stochastic maneuvers for LUMIO is motivated by the inherently higher risk of a low-cost mission. Nonetheless, the overall stochastic Δv computed based on a 95.32% confidence level of a combination of all stochastic maneuvers is smaller than the linear sum by 19%. With this approach, the 3σ Δv budget sums up to 191.3 (195.5 with margins on SMIM, HIM, and disposal maneuver), which is still within the bounds for mission feasibility.
Figure 6: Total transfer cost for different halos (image credit: LUMIO collaboration)
Table 5: Mission Δv budgets
The LUMIO spacecraft has been designed to perform with a high level of autonomy, particularly the navigation, payload data processor, and command data handling system (CDHS). The choice is driven not only by the operational constraints with respect to the lunar orbiter, but also by the ambitious mission design. Additionally, a general zero-redundancy approach has been adopted for all subsystems. This is dictated by the tight mass and volume constraints and a CubeSat design driven risk approach.
In subsystem design, a systematic trade-off procedure is adopted, based on subsystem specific performance criteria, as well as standard performance, cost and schedule criteria. Consistent design margins have been used for sizing the subsystems based on the development status. A standard 5%, 10%, and 20% mass margins have been applied for a fully COTS solution, a COTS solution requiring modification, and a custom design, respectively. The most important system and subsystem requirements are summarized in Table 6.
Table 6: Main system and subsystem requirements
Propulsion: The trade-off related to the propulsion subsystem shows that chemical propulsion is the only feasible option for the main maneuvers (orbital transfer and station-keeping), since all other options pose serious risks in terms of mass, volume, and/or thrust level requirements. For the de-tumbling and de-saturation maneuvers, a clear preference should be given to a chemical or a cold gas system. The initial proposed design is based on a partially customized version of the VACCO Hybrid ADN MiPS, including one main mono-propellant thruster (ADN green propellant) providing a thrust of 0.1 N for the main maneuvers, plus four cold gas RCS (Reaction Control System) thrusters in a pyramid configuration, providing a thrust of 10 mN each for the de-tumbling and de-saturation maneuvers. Mission requirements can be accomplished with a propulsion system having a total wet mass of 5.6 kg and a total volume of 3.1U. Alternatives based on performing all required functions with the same propulsion type (mono-propellant or resistojet), as well as systems based on sole European developments, are to be investigated and better assessed during the next mission design phases.
ADCS (Attitude Determination and Control Subsystem): The preliminary architecture of the ADCS for LUMIO is shown in Figure 7. The sensor suite has been chosen by selecting those with the smallest mass, volume, and power budgets given the pointing requirements and tip-off rates in Table 6.
The sensor suite comprises a nano SSOC-D60 Sun sensor manufactured by Solar MEMs technology (43 x 14 x 5.9 mm, 6.5 g, accuracy of 0.5º 3σ, and precision of 0.1º), two ST400 star trackers manufactured by Hyperion Technologies and Berlin Space Technologies (53.8 x 53.8 x 90.5 mm, 280 g, accuracy of 10 arcsec 3σ in pitch and yaw, and 120 arcsec 3σ in roll axis), and a STIM300 ultra-high performance inertial measurement unit manufactured by Sensonor10 (33 cm3, 55 g). The on-board computer is the GOMspace-Z7000, also used for the navigation algorithm. The actuators comprise 3 Blue Canyon RWP-100 reaction wheels (RW) and the set of cold gas RCS thrusters included in the VACCO propulsion system. The Blue Canyon RWP-100 reaction wheels are assumed to operate at a maximum of 90 mNms despite their capability of 100 mNms momentum storage. The ADCS system has a mass of 2 kg and a volume of 1150 cm3.
Power: For the solar array assembly, GOMspace Nanopower MPS in its B-type configuration has been chosen, holding 16 AzurSpace 3G30C solar cell assemblies in its deployable configuration (currently under development). The size is 30 x 20 cm, with a thickness of 3.5 mm and a mass of 620 g inclusive of the solar cells. The deployable solar array is attached to a solar array drive assembly (SADA). The deployment of the solar array is achieved using a yoke which in turn is connected to the SADA inside the spacecraft. The total battery capacity is 160 Wh, achieved with two GOMspace Nanopower BPX 80 Wh batteries. - For power conditioning and distribution, the GOMspace Nanopower P60 unit is selected. The interfaces between the electrical power system (EPS) and the other subsystems are schematized in Figure 7. The total mass of the EPS is estimated at 2.9 kg.
Figure 7: Electrical interfaces between the EPS and the other subsystems (image credit: LUMIO collaboration)
Communication: The communication subsystem is based on two UHF turnstile antennas developed by ISIS-space (one for uplink and one for downlink, considering that the typical turnstile antennas bandwidth is less than 15 MHz in the UHF band) and a RF power amplifier allowing for an RF output power of 8 W, necessary given the high transmission power required to close the link at distances greater than 75,000 km, expected during the mission. The UHF transponder is based on the CCSDS (Consultative Committee for Space Data Systems) Proximity-1 control, with RS442 data interface and a maximum data rate of 512 kbit/s. Table 7 shows the link budgets estimated for the current configuration of the communications subsystem. In the operation phase, the PL/TM throughput is 25919 kB for a 29-day period with 16 one-hour communication slots. This means that, when the minimum payload data requirement of 12927 kB is met, the data budget available for telemetry is 12992 kB.
Table 7: Telemetry, telecommand, and payload link budget
Structure: The main satellite structure is a COTS-based 12U CubeSat structure produced by ISIS-space. A detailed radiation analysis is conducted to define the thickness of the satellite external aluminum panels for sufficient radiation shielding, taking as a reference the LUMIO operative orbit and the position of the Moon for 1 year. The SPENVIS solar particle model ESP-PSYCHIC (total fluence) is used to calculate the TID (Total Ionizing Dose) and long-term SEUs (Single Event Upsets) for the operational orbit. Then, using the SHIELDOSE-2 model, the TID is plotted as a function of the thickness of aluminum shielding material of the spacecraft.
Since most of the internal spacecraft components can tolerate a TID up to 20 krad, and applying a 100% margin on this value due to large uncertainties at this stage, a thickness of 1.5 mm is selected, with additional internal shielding foreseen for particularly critical components (IMU, star trackers, SADA). The total mass of the structure designed with this criterion is 4 kg. The QuadPack deployer from ISIS-space is expected to be used for deploying the CubeSat from the lunar orbiter.
Thermal analysis: A simplified steady-state single-node thermal analysis is conducted with the main spacecraft body and the solar arrays considered as different thermally isolated bodies. Given the large uncertainties in the spacecraft internal and external design, the analysis is performed in a low-fidelity model and environment. Results show that, with a combination of thermal coatings of 27% gold, 25% silvered Teflon, and 48% polished Al 6061-T6, the spacecraft temperature stays within the range -5 to +45º Celsius when illuminated by the Sun. During eclipse periods, temperatures of roughly -50º C are estimated, which may require the use of internal heaters for further thermal protection of the most critical components.
Command and data handling and on-board payload data processor: The selected on-board computer (OBC) for the LUMIO spacecraft is the AAC Microtec Sirius computer, equipped with RS-422 and RS-485 connections as well as two SpaceWire 10 Mbit/s links, a 32-bit fault tolerant CPU and an EDAC protected memory. A CAN bus is foreseen for the connection with the ADCS and payload dedicated computers, as well as the EPS; although the selected computer does not support it natively, an option is available for accommodate a CAN-compatible transceiver upon request. The connection with the communication subsystem is done with RS-422, the only type of link supported by the UHF transponder. For the dedicated OBPDP, the GOMspace Nanomind Z7000 processor is selected. The OBPDP is connected to the camera through a SpaceWire interface, and to the main spacecraft OBC and dedicated ADCS computer through a CAN bus. This configuration allows for handling the required frame rate of 15 fps with a size of approximately 2 MB per frame.
Spacecraft configuration: Figure 10 shows the current foreseen configuration for the LUMIO spacecraft, while the complete mass budget, including margins at system and subsystem level, is shown in Table 10. A total margined mass of ~21.1 kg is estimated for the spacecraft. Additional mass may be used for deviating from the zero-redundancy strategy by adding components to avoid single points of failure, for including additional propellant to extend the mission lifetime, or for accommodating additional payloads to exploit secondary mission objectives.
Figure 8: LUMIO without and with panels (left), and exploded view showing LUMIO-Cam (right), image credit: LUMIO collaboration
Table 8: Mass budget of the LUMIO spacecraft, including system and subsystem margin
In summary, the primary science goal of LUMIO mission is to observe meteoroid impacts on the lunar farside to study the characteristics of meteoroids and to improve the meteoroid models. This may lead to a further study of the sources of these meteoroids, such as asteroids in the near-Earth environment and comets. The LUMIO mission complements ground-based observations with remote space-based observations, so improving the lunar situational awareness.
The mission utilizes a 12U form-factor CubeSat which carries the LUMIO-Cam, an optical instrument capable of detecting light flashes in the visible and NIR spectrum to continuously monitor and process the data. The mission implements a novel orbit design and the latest CubeSat technologies to serve as a pioneer in demonstrating how CubeSats can become a viable tool for deep space science and exploration.
Launch: The baseline launch of the LUMIO mission is planned for the middle of 2023.
1) F. Topputo, M. Massari, J. Biggs, P. Di Lizia, D. A. Dei Tos, K. V. Mani, S. Ceccherini, V. Franzese, A. Cervone, P. Sundaramoorthy, S. Speretta, S. Mestry, R. Noomen, A. Ivanov, D. Labate, A. Jochemsen, R. Furfaro, V. Reddy, K. Jacquinot, R. Walker, J. Vennekens, A. Cipriano, D. Koschny, "LUMIO: Characterizing lunar meteoroid impacts with a CubeSat,"Proceedings of the 69th IAC (International Astronautical Congress) Bremen, Germany, 1-5 October 2018, paper: IAC-18.A3.2A.7, URL: https://iafastro.directory/iac/proceedings/IAC-18/
2) Diogene A. Dei Tos, Francesco Topputo, "Trajectory design for LUMIO CubeSat in the cislunar space," 29th AAS/AIAA Space Flight Mechanics Meeting, Lahaina, Maui, HI , USA, AAS 19-387, 13-17 January 2019, URL: http://tinyurl.com/y4r4dhlb
3) Ana M. Cipriano, Diogene A. Dei Tos, Francesco Topputo, "Orbit Design for LUMIO: The Lunar Meteoroid Impacts Observer," Frontiers in Astronomy and Space Sciences,, Volume 5 Article 29, Published 19 September 2018, https://doi.org/10.3389/fspas.2018.00029, URL: http://tinyurl.com/yxptm6ey
4) "SysNova - Lunar challenges studied in the CDF (Concurrent Design Facility),"ESA, 1 May 2018, URL: https://www.esa.int/Our_Activities/Space_Engineering_Technology
5) .P. Brown, R. E. Spalding, D. O. ReVelle, E. Tagliaferri, S. P. Worden, "The flux of small near-Earth objects colliding with the Earth," Nature, Volume 420, pages 294–296, 21 November 2002, https://www.nature.com/articles/nature01238
6) J. L. Ortiz, F. J. Aceituno, J. A. Quesada, J. Aceituno, M. Fernández, P. Santos-Sanz, J. M.Trigo-Rodríguez, J. Llorca, F. J. Martín-Torres, P. Montañés-Rodríguez, E. Pallé, "Detection of sporadic impact flashes on the Moon: Implications for the luminous efficiency of hypervelocity impacts and derived terrestrial impact rates," Icarus, Volume 184, Issue 2, October 2006, pp: 319-326, URL of abstract: https://www.sciencedirect.com/science/article/abs/pii/S0019103506001606
7) T. V Gudkova, P. H. Lognonné, J. Gagnepain-Beyneix, "Large impacts detected by the Apollo seismometers: Impactor mass and source cutoff frequency estimations," Icarus, Volume 211, Issue 2, February 2011, pp: 1049-1065, URL of abstract: https://www.sciencedirect.com/science/article/abs/pii/S0019103510004161
8) R. M. Suggs, D. E. Moser, W. J. Cooke, R. J. Suggs, "The flux of kilogram-sized meteoroids from lunar impact monitoring," Icarus, Volume 238, August 2014, pp: 23-36, URL of abstract: https://www.sciencedirect.com/science/article/abs/pii/S0019103514002243
9) J. Oberst, A. Christou, R. Suggs, D. Moser, I. J. Daubar, A. S. McEwen, M. Burchell, T. Kawamura, H. Hiesinger, K. Wünnemann, R. Wagner, M. S. Robinson, "The present-day flux of large meteoroids on the lunar surface—A synthesis of models and observational techniques," Planetary and Space Science, Volume 74, Issue 1, December 2012, pp: 179-193, URL of abstract: https://www.sciencedirect.com/science
10) Ana M. Cipriano, Diogene A. Dei Tos, Francesco Topputo, "Orbit Design for LUMIO: The Lunar Meteoroid Impacts Observer," Frontiers in Astronomy and Space Sciences, 19 September 2018, https://doi.org/10.3389/fspas.2018.00029
11) F. Topputo, M. Massari, J. Biggs, P. Di Lizia, D. Dei Tos, K. Mani, S. Ceccherini, V. Franzese, A. Cervone, P. Sundaramoorthy, S. Speretta, S. Mestry, R. Noomen, A. Ivanov, D. Labate, A. Jochemsen, R. Furfaro, V. Reddy, K. Jacquinot, R. Walker, J. Vennekens, A. Cipriano, "LUMIO: A CubeSat at Earth-Moon L2," 4S (Small Satellites, Systems & Services) Symposium, Sorrento, Italy, 28 May 28-1 June 2018, URL: http://tinyurl.com/y53y3unw
12) S. Bouley, D. Baratoux, J. Vaubaillon, A. Mocquet, M. Le Feuvre, F. Colas, Z. Benkhaldoun, A. Daassou, M. Sabil, P. Lognonné,"Power and duration impact flashes on the Moon: Implication for the cause of radiation," Icarus, Volume 218, Issue 1, March 2012, pp: 115-124, https://doi.org/10.1016/j.icarus.2011.11.028
13) L. R. Bellot Rubio, J. L. Ortiz, and P. V Sada, "Luminous Efficiency in Hypervelocity Impacts from the 1999 Lunar Leonids," The Astrophysical Journal, Vol. 542:L65–L68, 10 October 2000, URL: http://iopscience.iop.org/article/10.1086/312914/pdf
14) R. M. Suggs, W. J. Cooke, R. J. Suggs, W. R. Swift, and N. Hollon, "The NASA Lunar Impact Monitoring Program," Earth. Moon. Planets, Vol. 102, No. 1-4, pp. 293–298, June 2008, https://link.springer.com/article/10.1007/s11038-007-9184-0
15) "New NELIOTA project detects flashes from lunar impacts," ESA, 24 May 2017, URL: http://sci.esa.int/solar-system/59165-new-
16) A. Z. Bonanos, M. Xilouris, P. Boumis, I. Bellas-Velidis, A. Maroussis, A. Dapergolas, A. Fytsilis, V. Charmandaris, K. Tsiganis, K. Tsinganos,"NELIOTA: ESA's new NEO lunar impact monitoring project with the 1.2m telescope at the National Observatory of Athens," Proceedings of the International Astronomical Union, 2015, Vol. 10, No. S318, pp. 327–329, URL: https://tinyurl.com/y7h6nmoo
17) Diogene Alessandro Dei Tos,Francesco Topputo, "On the advantages of exploiting the hierarchical structure of astrodynamical models," Acta Astronautica, Volume 136, July 2017, pp: 236-247, https://doi.org/10.1016/j.actaastro.2017.02.025
18) Diogene A. Dei Tos, Francesco Topputo, "Trajectory refinement of three-body orbits in the real solar system model," Advances in Space Research, Volume 59, Issue 8, 15 April 2017, pp: 2117-2132, https://doi.org/10.1016/j.asr.2017.01.039
19) P. Sundaramoorthy, F. Topputo, M. Massari, J. Biggs, P. Di Lizia, D. A. Dei Tos, K. Mani, S. Ceccherini, V. Franzese, A. Cervone, S. Speretta, S. Mestry, R. Noomen, A. Ivanov, D. Labate, A. Jochemsen, R. Furfaro, V. Reddy, K. Jacquinot, R. Walker, J. Vennekens, A. Cipriano , S. Pepper, M. van de Poel, "System design of LUMIO: A CubeSat at Earth-Moon L2 for observing lunar meteoroid impacts," Proceedings of the 69th IAC (International Astronautical Congress) Bremen, Germany, 1-5 October 2018, paper: IAC-B4-8.5, URL: http://tinyurl.com/y6azmmyz
20) N. P. Dwivedi, "Deterministic optimal maneuver strategy for multi-target missions," Journal of Optimization Theory and Applications, October 1975, Volume 17, Issue 1–2, pp 133–153, https://doi.org/10.1007/BF00933919
21) K. C. Howell, H. J. Pernicka, "Station-keeping method for libration point trajectories", Journal of Guidance, Control, and Dynamics, Vol. 16, No. 1 (1993), pp. 151-159. https://doi.org/10.2514/3.11440
22) Kenta Oshima, Stefano Campanola, Chit Hong Yam, Yuki Kayama, Yasuhiro Kawakatsu, Naoya Ozaki, Quentin Verspieren, Kota Kakihara, Kenshiro Oguri, Ryu Funase, "EQUULEUS Mission Analysis: Design of the Transfer Phase," 31st ISTS conference paper, June 2017, URL: https://www.researchgate.net/profile/Kenta_Oshima/publication
23) Vittorio Franzese, Pierluigi Di Lizia, Francesco Topputo, "Autonomous Optical Navigation for LUMIO Mission," 8-12 January 2018 Space Flight Mechanics Meeting, Kissimmee, Florida, AIAA SciTech Forum, (AIAA 2018-1977), https://doi.org/10.2514/6.2018-1977 , URL: http://tinyurl.com/y6bz4jof
24) Vittorio Franzese, Simone Ceccherini, Karthik V. Mani, Pierluigi Di Lizia, Francesco Topputo, "Feasibility assessment of autonomous optical navigation in LUMIO mission," Proceedings of the 69th IAC (International Astronautical Congress) Bremen, Germany, 1-5 October 2018, paper: IAC-18-C1.6.13, URL: http://tinyurl.com/y576ccov
25) Diogene A. Dei Tos, Francesco Topputo, Mauro Massari, James D. Biggs, Ana M. Cipriano, "On the sophisticated orbit design of the Lunar Meteoroid Impact Observer CubeSat," Proceedings of the 69th IAC (International Astronautical Congress) Bremen, Germany, 1-5 October 2018, paper: IAC-18,C1,8,11, URL: http://tinyurl.com/y4vhethh
26) Stefano Speretta, Francesco Topputo, James Biggs, Pierluigi Di Lizia, Mauro Massari, Karthik Mani, Diogene Dei Tos, Simone Ceccherini, Vittorio Franzese, Angelo Cervone, Prem Sundaramoorthy, Ron Noomen, Samiksha Mestry, Ana do Carmo Cipriano, Anton Ivanov, Demetrio Labate, Leonardo Tommasi, Arnoud Jochemsen, J Gailis, Roberto Furfaro, Vishnu Reddy, Johan Vennekens, and Roger Walker. "LUMIO: achieving autonomous operations for Lunar exploration with a CubeSat", Proceedings of the 15th International Conference on Space Operations (SpaceOps), Marseille, France, May 28-June 1, 2018, (AIAA 2018-2599), https://doi.org/10.2514/6.2018-2599 , URL: http://tinyurl.com/y6tqteru
The information compiled and edited in this article was provided by Herbert J. Kramer from his documentation of: "Observation of the Earth and Its Environment: Survey of Missions and Sensors" (Springer Verlag) as well as many other sources after the publication of the 4th edition in 2002. - Comments and corrections to this article are always welcome for further updates (firstname.lastname@example.org).