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MINERVA

Cutaway model of MINERVA on display at ISAS Sagamihara, with a transparent shell substituted for the solar-celled hexadecagonal skin. The body is 120 mm across and 100 mm high. The internal torquer assembly at center is the entire mobility system: spinning and braking the flywheel reacts against the body to throw the rover off the surface, and the two black units flanking it are cameras. The pins projecting through the rim are the surface contact and thermal sensors Norimaki, via Wikimedia Commons. CC BY 3.0.

MINERVA was the surface rover carried by the Hayabusa (MUSES-C) spacecraft to asteroid 25143 Itokawa [1]. It was the first asteroid exploration rover ever built and deployed [1]. Its objectives were to establish a mobile system in the microgravity environment of a small body, to demonstrate onboard autonomy, and to make the first planned scientific observations from an asteroid surface.

ParameterValue
BodyHexadecagonal cylinder, 120 mm diameter, 100 mm high
Mass591 g
MobilityHopping, 9 cm/s maximum
Power generationSolar cells on every face, 2.2 W at 1 AU
Energy storageCondenser, 4.6 V, 20 F
Processor32-bit CPU at 10 MHz, 10 MIPS
Memory512 kB ROM, 2 MB RAM, 2 MB flash ROM
Operating temperature range-50 to +80 C
Communication9600 bps, maximum range 20 km
Payload3 CCD cameras, 6 sun sensors, 6 thermometers
Power, actuators2.6 W maximum
Power, communication1.8 W
Power, camera8 W
Power, onboard computer0.8 W

Source: [1].

ParameterValueSource
HostHayabusa (MUSES-C), 510 kg, core 1.0 x 1.1 x 1.6 m and 5.7 m across the deployed solar paddles[1], [13]
Carrier launch9 May 2003, M-V-5 from Kagoshima Space Center, Uchinoura[13]
Targetasteroid 25143 Itokawa, reached 12 September 2005[1], [13]
Carrier landings on Itokawatwo, in November 2005[13]
Release12 November 2005, during the second descent rehearsal[2]
Outcomereleased above the escape velocity of Itokawa; never reached the surface[1]
Survival after releaseabout 18 hours, with autonomous functions working[1], [12]
Data returnedone autonomously taken image, of part of the Hayabusa solar paddle, relayed through the spacecraft[1], [12]

The argument is set out explicitly. Traction is friction, f = mu N, and for a wheeled vehicle the contact force is the weight, so f = mu m g [1]. At Itokawa’s surface acceleration of order 1e-4 m/s2 that product is negligible whatever the friction coefficient, and if commanded traction exceeds available friction the vehicle slips. A wheeled rover proposed as a MUSES-C payload could have driven at only 1.5 mm/s, and would have needed a hopping mechanism to cover tens of meters [1].

Adding an artificial pushing force F changes the scaling: f = mu (m g + F), and where F is much larger than m g this reduces to f = mu F, which is independent of the gravitational acceleration [1]. The upper bound on hop speed is the escape velocity of the body, about 20 cm/s at Itokawa against the 6e-5 to 9e-5 m/s2 surface acceleration that makes the weight term negligible in the first place [3].

The same relation is why cohesion, not weight, governs the surface material a hopper lands on. At 6e-5 to 9e-5 m/s2 on Itokawa, van der Waals attraction between grains exceeds their weight across the relevant particle size range [3], and Itokawa’s surface has minimum particle sizes of millimeters to centimeters with finer gravels migrating into geopotential lows.

MINERVA hops by spinning an internal torquer and using the reaction on its body [1]. Unlike the contemporary JPL hopping rover, which charges a spring between hops and swings an off-axis camera mass through a one-way clutch to aim the next one [9], MINERVA has no moving part outside the body, which removes any requirement to consider asteroid dust in the mechanism. The torquer doubles as attitude control during the ballistic phase, and increases the contact force between body and surface, raising available friction and therefore achievable horizontal speed. Torque is adjustable because the DC motor is driven by pulse width modulation.

The mechanism was validated at the Japan Microgravity Center, which provides 10 s of microgravity in a capsule falling 490 m [1]. Five runs differing in PWM history were recorded on video at 1/30 s intervals, with the rover’s position and attitude recovered in each frame by least squares fitting of optical markers whose body-frame coordinates were known.

CasePWM dutyVoltageDurationHorizontal speedVertical speedHop speedDirection
1100 percent4.53 Vcontinuous50.3 mm/s47.2 mm/s69.0 mm/s46.8 deg
250 percent3.54 Vcontinuous38.7 mm/s32.6 mm/s50.6 mm/s49.9 deg
325 percent4.80 Vcontinuous32.0 mm/s26.4 mm/s41.4 mm/s50.5 deg
4100 percent2.33 V0.5 s19.8 mm/s20.5 mm/s28.5 mm/s44.0 deg
550 percent4.05 V0.5 s19.8 mm/s21.4 mm/s29.1 mm/s42.8 deg

All values from [1]. The measured friction coefficient in these tests was approximately 1, the distance from the rover center to the contact point was 156.2 mm at an angle of 219.8 degrees, and gravity was set to zero in the matching simulation. Measured hop speeds of 28 to 69 mm/s sit below the 9 cm/s design maximum [1]. A drop tower reproduces the acceleration but not the target: restitution and ejecta behavior of a granular bed both change by an order of magnitude between 1e-2 g and below 1e-4 g [6].

The successor MINERVA-II rovers, which did reach a surface, use the same principle with a flywheel on the motor shaft and achieve about 10 cm/s for a 1 kg body [4].

Autonomy on MINERVA is built where inertial sensing is absent, which is the same design position MINERVA-II took thirteen years later on a rover that also could not localize itself [4].

The onboard control system is a three-layer hierarchy [1]. Independent controllers sit closest to the devices. An action layer commands actuators, sensors and the radio, at the granularity of “take the picture from camera A” or “rotate the motor with duty pulse X”, and these are the commands a ground operator addresses directly in teleoperation mode. A behavior layer composes those actions into autonomous sequences; the operational mode is read from a flash ROM area at boot and is normally switched by human command.

Image selection runs onboard. Pictures are compressed and evaluated by the CPU, images with the least information such as completely black frames are discarded immediately, and the rest are stored in flash ROM tagged with a priority proportional to their information content, so the highest priority data is transmitted first within the limited bandwidth [1]. MINERVA-II carried a developed form of the same filter, rejecting frames on the luminance histogram of a decimated channel against four thresholds settable from the ground [4].

Localization has no inertial reference. MINERVA cannot sense its attitude directly and carries no gyroscope, so onboard localization is an optional function [1]. The method used instead observes the Sun direction several times while the rover is stationary, in the evening after it stops and in the morning before it moves, using six photodetectors offset 90 degrees from one another so that at least three see the Sun simultaneously and their outputs give the solar direction. Rover attitude with respect to inertial space follows from those observations; the gravitational directions estimated during a hop, together with the times of sunset and sunrise, then give absolute position and attitude in the asteroid-fixed frame.

An asteroid surface at 1 AU swings across the whole operating range of commercial parts in a single rotation [3], so thermal control here is a duty cycle problem rather than a radiator sizing problem.

Thermal control is autonomous and consists of shutting down. Onboard devices operate from -50 to +80 C, and outside that range the power supply to the CPU is suspended [12]. The devices are covered in multilayer insulation, and the rover’s heat capacity is small enough that device temperature tracks the surrounding asteroid temperature. Night on the asteroid falls below -100 C, but the insulation slows the drop so the rover wakes quickly at sunrise; toward noon the temperature may exceed +80 C and the rover suspends operation [12]. The onboard software also watches internal temperature and, as it approaches a threshold, suspends power-hungry actions and copies RAM contents to flash ROM so that data survives a sudden shutdown.

The condensers are the limiting component. They are undamaged by cold but degrade above +130 C, and after a couple of days on the surface, having been through a couple of overheated daytimes, they can no longer be used [12]. The CPU and radio still work on direct solar power after that, but hop performance degrades and the rover may not move.

Four of the pins protruding from the body to protect the solar panels double as thermal detectors that measure surface temperature [12]. The 80 C shutdown threshold was carried forward to MINERVA-II, where it was never triggered because Ryugu’s short rotation period keeps the surface below it despite a very low albedo [4].

Three commercial CCD cameras sensitive at visible wavelengths are mounted on a turntable, so sight direction is set by rotating the table, and they view through windows at the centers of the side faces [12]. Focal length cannot be adjusted in flight, so two cameras are focused close and one far. All passed radiation level testing and were tuned for the hottest expected operating temperature.

Six photodetectors act as sun sensors, and six thermometers with four external pins measure surface temperature [12]. MINERVA-II reduced this to three or four cameras with photodiodes, thermometers, a gyro and an accelerometer, adding the inertial sensing MINERVA lacked [4].

The relay architecture is forced by the link budget: a 591 g rover cannot close a link to Earth, so everything passes through the spacecraft, exactly as for the later MINERVA-II and MASCOT deliveries [4].

MINERVA was held during cruise by the Onboard Mounted Equipment, which also supplied it with power over a wired line [12]. At deployment the OME cover is jettisoned and the rover is pushed toward the surface. After deployment the OME acts as the relay between the rover and the spacecraft data recorder: telemetry is received through an antenna on the asteroid-facing side of the spacecraft, and commands from Earth are stored in the OME and transmitted when a link to the rover becomes available. The link is 9600 bps to a maximum range of 20 km [12].

QuantityValueSource
Principal axes535 x 294 x 209 m
Mass(3.51 +/- 0.105)e10 kg
Volume(1.84 +/- 0.092)e7 m3
Density1.90 +/- 0.13 g/cm3
Macroporosityabout 40 percent[2], [3]
Surface acceleration6e-5 to 9e-5 m/s2, 6 to 9 micro-g[3]

Rows with no marker are from [2].

Itokawa is a rubble pile with no apparent monolithic component at the 100 m scale, decomposed into two ellipsoidal components resting on each other, and with tangential evidence for a non-homogeneous mass distribution [3]. The surface coefficient of restitution inferred from Hayabusa’s own landing altimetry and Doppler tracking is 0.84, high for unconsolidated gravel. Laboratory impacts into simulant below 1e-4 g give effective restitution of 0.15 +/- 0.04, an order of magnitude lower, which is the measure of how far a competent boulder field departs from a granular bed [6].

Returned Itokawa grains were later measured by nanoindentation: reduced Young modulus of 83.0 +/- 0.1 to 111.0 +/- 0.2 GPa on particles 131 and 149 micrometer across [5]. The material is competent silicate; the weakness of the surface is in the packing. Bulk cohesive strength for a regolith of Itokawa’s grain size is of order a few to tens of pascals [7], and simulant fidelity for this class of material is assessed against a figure of merit rather than any single property [8].

MINERVA works only in daylight, on instantaneous solar power supplemented by the condensers, which cover a few minutes of activity when the arrays are shadowed [12]. Instantaneous array power alone is insufficient for motor rotation, image capture or communication; those require the condensers. Once the condensers have degraded, the machine survives as a camera and radio that cannot move.

The commercial CPU and the cameras were qualified by radiation testing rather than by using radiation-hardened parts [12]. No dose figures are published. The interplanetary design environment for the two-and-a-half year cruise is the Badhwar-O’Neill galactic cosmic ray model [13].

The MINERVA hopping mechanism, an internal torquer with no external moving part, is the design that MINERVA-II carried to Ryugu and used successfully [4]. The friction relation f = mu (m g + F) and its microgravity limit f = mu F is the argument that wheels are unusable at this gravity, and it is stated in the MINERVA design paper before any asteroid surface had been reached [1].

The failure was in delivery, not in the rover. Deployment above escape velocity is a spacecraft state problem at release, and at an escape velocity of order 20 cm/s the margin between a successful release and a lost one is small [1]. The published account attributes it to the relative velocity and position at deployment rather than to any rover fault, and the 18 hours of subsequent autonomous operation is the only flight validation the design received [1], [12]. MINERVA-II demonstrated the same architecture at a body of comparable gravity thirteen years later [4].

A margin failure of this kind is not unique to Hayabusa. Philae’s hold-down system, a pair of harpoons and a cold gas thruster meant to pin the lander to 67P at 1.01 m/s touchdown speed, failed on both counts, and the lander bounced for nearly two hours before its second contact [11]. In both cases a small body’s near-absent gravity narrows the difference between a nominal release or landing and a lost one to margins that ground testing on Earth cannot reproduce, and in both cases the fault lay in the delivery mechanism rather than the surface package it carried. Hayabusa itself delivered its Earth reentry capsule to within one sigma of the predicted parachute opening point after a targeting sequence in which better orbit determination did not translate into better maneuver execution, an asymmetry between the two error sources that recurs in the deployment problem MINERVA depended on [10].

References

  1. Kubota, T. and Yoshimitsu, T. (2007). Intelligent Unmanned Explorer for Deep Space Exploration . International Conference on Intelligent Unmanned Systems (ICIUS). Source
    BibTeX
    @inproceedings{kubota2007intelligent,
      title = {Intelligent Unmanned Explorer for Deep Space Exploration},
      author = {Kubota, Takashi and Yoshimitsu, Tetsuo},
      booktitle = {International Conference on Intelligent Unmanned Systems (ICIUS)},
      year = {2007},
      doi = {10.48550/arxiv.0804.4717},
      abstract = {asteroids or comets have received remarkable attention in the world. In small body explorations, especially, detailed in-situ surface exploration by tiny rover is one of effective and fruitful means and is expected to make strong contributions towards scientific studies. JAXA ISAS is promoting MUSES C mission, which is the worlds first sample and return attempt to or from the near earth asteroid. Hayabusa spacecraft in MUSES C mission took the tiny rover, which was expected to perform the in-situ surface exploration by hopping. This paper describes the system design, mobility and intelligence of the developed unmanned explorer. This paper also presents the ground experimental results and the flight results.}
    }
  2. Yoshikawa, M., Fujiwara, A. and Kawaguchi, J. (2007). The nature of asteroid Itokawa revealed by Hayabusa . International Astronomical Union, Symposium 236. Source
    BibTeX
    @inproceedings{yoshikawa2007nature,
      title = {The nature of asteroid Itokawa revealed by Hayabusa},
      author = {Yoshikawa, Makoto and Fujiwara, A. and Kawaguchi, J.},
      booktitle = {International Astronomical Union, Symposium 236},
      volume = {2},
      pages = {401--408},
      year = {2007},
      doi = {10.1017/s174392130700350x},
      abstract = {Abstract The spacecraft Hayabusa, which was launched in 2003, arrived at its destination, asteroid (25143) Itokawa in September 2005. The appearance of Itokawa, a small S-type near Earth asteroids, was totally unexpected. The surface is covered with a lot of boulders and there are only a few craters on it. It looks like a contact binary asteroid. The surface composition is quite similar to LL-chondrite. The estimated density is 1.9 ± 0.13 (g/cm 3 ), so the macro-porosity is about 40%. This means that Itokawa is a rubble pile object. In Itokawa, we may see such things that are very close to building blocks of asteroids. In this paper, we review the mission and the first scientific results.}
    }
  3. Scheeres, D. J., Hartzell, C. M., Sánchez, P. and Swift, M. (2010). Scaling forces to asteroid surfaces: The role of cohesion . Icarus. Source
    BibTeX
    @article{scheeres2010scaling,
      title = {Scaling forces to asteroid surfaces: The role of cohesion},
      author = {Scheeres, Daniel J. and Hartzell, C. M. and Sánchez, Paul and Swift, M.},
      journal = {Icarus},
      volume = {210},
      pages = {968--984},
      year = {2010},
      doi = {10.1016/j.icarus.2010.07.009}
    }
  4. Yoshimitsu, T. and Kubota, T. (2020). Engineering Challenges and Results by MINERVA-II Asteroid Surface Rovers . Journal of the Robotics Society of Japan, 8. Source
    BibTeX
    @article{yoshimitsu2020engineering,
      title = {Engineering Challenges and Results by MINERVA-II Asteroid Surface Rovers},
      author = {Yoshimitsu, Tetsuo and Kubota, Takashi},
      journal = {Journal of the Robotics Society of Japan},
      volume = {38},
      number = {8},
      pages = {754--761},
      year = {2020},
      doi = {10.7210/jrsj.38.754},
      abstract = {Hayabusa2 is a Japanese asteroid explorer which aims to get some fragments from the C-type asteroid ``Ryugu'' and bring them back to the Earth. It was launched in December 2014 and arrived at the target asteroid at the end of June 2018 after 3.5 years' interplanetary cruise using an Ion engine propulsion system. The authors developed two tiny twin rovers for Hayabusa2 spacecraft. The objectives of the rovers were performing two technical experiments on the asteroid surface. They had hopping capability fitted for the microgravity environment of small planetary bodies, which was to be evaluated on the asteroid surface. The rovers had full autonomy to move to as many different places as possible and make some observations such as taking images and directly measuring the surface properties. The fully autonomous capability was to be demonstrated on the asteroid surface. The rovers were deployed onto the Northern hemisphere of the target asteroid on 04:06, 21 September 2018 (UTC) at the altitude of approximately 50 meters above the surface. Both rovers made autonomous surface explorations by hopping as planned, which were evidenced by the status and image data transmitted from the rovers. This was the World first surface mobile exploration on small planetary body in our Solar System attained by unmanned robot, as well as the first surface mobile exploration on extraterrestrial body in our country. This paper describes the technical aspects of MINERVA-II rovers, followed by some actual behaviors of the rovers on the asteroid surface which illustlated the great achievments of the two technical challenges by the rovers.}
    }
  5. Tanbakouei, S., Trigo-Rodríguez, J. M., Sort, J., Michel, P., Blum, J., Nakamura, T. and Williams, I. (2019). Mechanical properties of particles from the surface of asteroid 25143 Itokawa . Astronomy & Astrophysics. Source
    BibTeX
    @article{tanbakouei2019mechanical,
      title = {Mechanical properties of particles from the surface of asteroid 25143 Itokawa},
      author = {Tanbakouei, Safoura and Trigo-Rodríguez, Josep M. and Sort, Jordi and Michel, Patrick and Blum, Jürgen and Nakamura, Tomoki and Williams, Iwan},
      journal = {Astronomy & Astrophysics},
      volume = {629},
      pages = {A119},
      year = {2019},
      doi = {10.1051/0004-6361/201935380},
      abstract = {Aims. Asteroids have been exposed to impacts since their formation, and as a consequence their surfaces are covered by small particles, pebbles, and boulders. The Japanese JAXA/ISAS Hayabusa mission collected micron-sized particles from the regolith of asteroid 25143 Itokawa. The study in terrestrial laboratories of these particles provides a scientific opportunity as their physical properties can be compared with those characteristic of chondritic meteorites that are often considered proxies of the building materials of potentially hazardous asteroids (PHAs). Methods. Here we present the results from a study of the mechanical properties of three of these particles using a precise technique called nanoindentation. The derived results are compared with those obtained via a methodology similar to that used for the Chelyabinsk meteorite. Results. The reduced Young’s modulus values obtained for the Itokawa samples are higher than those measured for the Chelyabinsk chondrite, so these specific particles of asteroid regolith are more compacted than the minerals forming the particular LL chondrite associated with PHAs. This might be a natural consequence of particles surviving long exposure times on the surface of a (near-Earth asteroid) NEA. The Double Asteroid Redirection Test (DART) mission plans to excavate a crater in the surface of the (65803) Didymos satellite. Our results suggest that excavating a crater with a kinetic impactor in an area of significant fine-grained regolith will increase the momentum transfer. As this will facilitate the release of particles carrying target mass in the opposite direction to the movement of the projectile, there is no need to grind up the target during the mechanical excavation phase.}
    }
  6. Brisset, J., Colwell, J., Dove, A., Abukhalil, S., Cox, C. and Mohammed, N. (2018). Regolith behavior under asteroid-level gravity conditions: low-velocity impact experiments . Progress in Earth and Planetary Science, 73. Source
    BibTeX
    @article{brisset2018regolith,
      title = {Regolith behavior under asteroid-level gravity conditions: low-velocity impact experiments},
      author = {Brisset, Julie and Colwell, Joshua and Dove, Adrienne and Abukhalil, Sumayya and Cox, Christopher and Mohammed, Nadia},
      journal = {Progress in Earth and Planetary Science},
      volume = {5},
      number = {73},
      year = {2018},
      doi = {10.1186/s40645-018-0222-5},
      abstract = {The dusty regolith covering the surfaces of asteroids and planetary satellites differs in size, shape, and composition from terrestrial soil particles and is subject to environmental conditions very different from those found on Earth. This regolith evolves in a low ambient pressure and low-gravity environment. Its response to low-velocity impacts, such as those that may accompany human and robotic exploration activities, may be completely different than what is encountered on Earth. Experimental studies of the response of planetary regolith in the relevant environmental conditions are thus necessary to facilitate future Solar System exploration activities.We combined the results and provided new data analysis elements for a series of impact experiments into simulated planetary regolith in low-gravity conditions using two experimental setups and a range of microgravity platforms. The Physics of Regolith Impacts in Microgravity Experiment (PRIME) flew on several parabolic aircraft flights, enabling the recording of impacts into granular materials at speeds of ∼ 4–230 cm/s. The COLLisions Into Dust Experiment (COLLIDE) is conceptually close to the PRIME setup. It flew on the Space Shuttle in 1998 and 2001 and more recently on the Blue Origin New Shepard rocket, recording impacts into simulated regolith at speeds between 1 and 120 cm/s.Results of these experimental campaigns found that there is a significant change in the regolith behavior with the gravity environment. In a 10 −2g environment (with g being the gravity acceleration at the surface of the Earth), only embedding of the impactor was observed and ejecta production was produced for most impacts at > 20 cm/s. Once at microgravity levels (<10−4g), the lowest impact energies also produced impactor rebound. In these microgravity conditions, ejecta started to be produced for impacts at > 10 cm/s. The measured ejecta speeds were somewhat lower than the ones measured at reduced-gravity levels, but the ejected masses were higher. In general, the mean ejecta velocity shows a power-law dependence on the impact energy with an index of ∼ 0.5. When projectile rebound occurred, we observed that its coefficients of restitution on the bed of regolith simulant decrease by a factor of 10 with increasing impact speeds from ∼ 5 up to 100 cm/s. We could also observe an increased cohesion between the JSC-1 grains compared to the quartz sand targets.}
    }
  7. Scheeres, D. J. and Sánchez, P. (2018). Implications of cohesive strength in asteroid interiors and surfaces and its measurement . Progress in Earth and Planetary Science, 25. Source
    BibTeX
    @article{scheeres2018implications,
      title = {Implications of cohesive strength in asteroid interiors and surfaces and its measurement},
      author = {Scheeres, Daniel J. and Sánchez, Paul},
      journal = {Progress in Earth and Planetary Science},
      volume = {5},
      number = {25},
      year = {2018},
      doi = {10.1186/s40645-018-0182-9},
      abstract = {Recent observations and theory have indicated that rubble pile asteroids may have a small, but finite, level of tensile strength, allowing them to spin above their spin deformation limit as defined in Holsapple (Icarus 205:430–442, 2010). In Sánchez and Scheeres (Meteorit Planet Sci 49:788–811, 2014), a theory for how such strength could be present in rubble pile asteroids was presented, relying on weak van der Waals forces between fine particulate material in asteroid regolith and in their interiors. The implications of this theory are evaluated and related to the surface strength of regolith and global strength of a rubble pile body. Proposed techniques to measure the strength of regolith using cratering theory are reviewed, as are constraints placed on the global strength of rubble pile asteroids from astronomical observations. Specific examples applied to the Hayabusa2 cratering experiment at its target asteroid are given.}
    }
  8. Metzger, P. T., Britt, D. T., Covey, S., Schultz, C., Cannon, K. M., Grossman, K. D., Mantovani, J. G. and Mueller, R. P. (2019). Measuring the fidelity of asteroid regolith and cobble simulants . Icarus. Source
    BibTeX
    @article{metzger2019measuring,
      title = {Measuring the fidelity of asteroid regolith and cobble simulants},
      author = {Metzger, Philip T. and Britt, Daniel T. and Covey, Stephen and Schultz, Cody and Cannon, Kevin M. and Grossman, Kevin D. and Mantovani, James G. and Mueller, Robert P.},
      journal = {Icarus},
      volume = {321},
      pages = {632--646},
      year = {2019},
      doi = {10.1016/j.icarus.2018.12.019}
    }
  9. Fiorini, P., Hayati, S., Heverly, M. and Gensler, J. (1999). A Hopping Robot for Planetary Exploration . IEEE Aerospace Conference. Source
    BibTeX
    @inproceedings{fiorini1999hopping,
      title = {A Hopping Robot for Planetary Exploration},
      author = {Fiorini, Paolo and Hayati, Samad and Heverly, Matt and Gensler, Jeff},
      booktitle = {IEEE Aerospace Conference},
      pages = {153-158 vol.2},
      organization = {Jet Propulsion Laboratory, California Institute of Technology},
      year = {1999},
      doi = {10.1109/aero.1999.793156},
      abstract = {This paper presents the design and some preliminary analysis of a hopping robot for planetary exploration. The goal of this project is to explore a different mobility paradigm which may present advantages over conventional wheel and leg locomotion. The approach is to achieve mobility by hopping and perform science and imaging via rolling. The device is currently equipped with a single video camera representing the science sensor suite. The hopper is equipped with a simple microprocessor and wireless modem so that it can receive sequences of commands and autonomously execute them, making it suitable for exploration of distant planets, comets and asteroids. One important feature of this hopper is that it uses a single motor for hopping in a specified direction as well as pointing the camera via rolling.}
    }
  10. Haw, R. J., Bhaskaran, S., Strauss, W., Sklyanskiy, E., Graat, E. J., Smith, J. J., Menom, P., Ardalan, S., Ballard, C. G., Williams, P., Kawaguchi, J., Makoto, Y. and Ohnishi, T. (2011). Hayabusa : navigation challenges for Earth return . Journal of Geophysical Research: Planets. Source
    BibTeX
    @article{haw2011hayabusa,
      title = {Hayabusa : navigation challenges for Earth return},
      author = {Haw, Robert J. and Bhaskaran, S. and Strauss, William and Sklyanskiy, Evgeniy and Graat, Eric J and Smith, J. J. and Menom, P. and Ardalan, S. and Ballard, Christopher G. and Williams, P. and Kawaguchi, J. and Makoto, Y. and Ohnishi, T.},
      journal = {Journal of Geophysical Research: Planets},
      publisher = {JPL Open Repository},
      year = {2011},
      url = {https://dataverse.jpl.nasa.gov/dataset.xhtml?persistentId=hdl:2014/43827}
    }
  11. Biele, J., Ulamec, S., Maibaum, M., Roll, R., Witte, L., Jurado, E., Muñoz, P., Arnold, W., Auster, H.-U., Casas, C., Faber, C., Fantinati, C., Finke, F., Fischer, H.-H., Geurts, K., Güttler, C., Heinisch, P., Herique, A., Hviid, S., Kargl, G., Knapmeyer, M., Knollenberg, J., Kofman, W., Kömle, N., Kührt, E., Lommatsch, V., Mottola, S., Pardo de Santayana, R., Remetean, E., Scholten, F., Seidensticker, K. J., Sierks, H. and Spohn, T. (2015). The Landing(s) of Philae and Inferences about Comet Surface Mechanical Properties . Science, 6247. Source
    BibTeX
    @article{biele2015landings,
      title = {The Landing(s) of {Philae} and Inferences about Comet Surface Mechanical Properties},
      author = {Biele, Jens and Ulamec, Stephan and Maibaum, Michael and Roll, Reinhard and Witte, Lars and Jurado, Eric and Muñoz, Pablo and Arnold, Walter and Auster, Hans-Ulrich and Casas, Carlos and Faber, Claudia and Fantinati, Cinzia and Finke, Felix and Fischer, Hans-Herbert and Geurts, Koen and Güttler, Carsten and Heinisch, Philip and Herique, Alain and Hviid, Stubbe and Kargl, Günter and Knapmeyer, Martin and Knollenberg, Jörg and Kofman, Wlodek and Kömle, Norbert and Kührt, Ekkehard and Lommatsch, Valentina and Mottola, Stefano and Pardo de Santayana, Ramon and Remetean, Emile and Scholten, Frank and Seidensticker, Klaus J. and Sierks, Holger and Spohn, Tilman},
      journal = {Science},
      volume = {349},
      number = {6247},
      pages = {aaa9816},
      year = {2015},
      doi = {10.1126/science.aaa9816},
      abstract = {The Philae lander, part of the Rosetta mission to investigate comet 67P/Churyumov-Gerasimenko, was delivered to the cometary surface in November 2014. Here we report the precise circumstances of the multiple landings of Philae, including the bouncing trajectory and rebound parameters, based on engineering data in conjunction with operational instrument data. These data also provide information on the mechanical properties (strength and layering) of the comet surface. The first touchdown site, Agilkia, appears to have a granular soft surface (with a compressive strength of 1 kilopascal) at least ~20 cm thick, possibly on top of a more rigid layer. The final landing site, Abydos, has a hard surface.}
    }
  12. Yoshimitsu, T., Kubota, T. and Nakatani, I. (2006). Operation of MINERVA rover in Hayabusa Asteroid Mission . International Astronautical Congress. Source
    BibTeX
    @inproceedings{yoshimitsu2006operation,
      title = {Operation of MINERVA rover in Hayabusa Asteroid Mission},
      author = {Yoshimitsu, Tetsuo and Kubota, Takashi and Nakatani, Ichiro},
      booktitle = {International Astronautical Congress},
      year = {2006},
      doi = {10.2514/6.iac-06-a3.5.01}
    }
  13. (2026). JAXA: Hayabusa. isas.jaxa.jp/en/missions/spacecraft/past/hayabusa.html
    BibTeX
    @misc{jaxahayabusa,
      title = {JAXA: Hayabusa},
      organization = {isas.jaxa.jp},
      year = {2026},
      url = {https://www.isas.jaxa.jp/en/missions/spacecraft/past/hayabusa.html}
    }