Dynamics and Control for Surface Exploration of Small Bodies

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/76920/1/AIAA-2008-6251-345.pd

Restricted Full Three-Body Problem: Application to Binary System 1999 KW4

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/76569/1/AIAA-30937-245.pd

The Restricted Full Three Body Problem: Applications to Binary Asteroid Exploration.

There is much current interest in understanding the formation and evolution of the small bodies of our solar system. In addition, current astronomical observations suggest that 16% of the Near Earth Asteroid population is made of binary asteroids. A robotic mission sent to one of these systems provides double scientific opportunities to investigate their composition and their dynamical characteristics, thus motivating this research. The Full Two Body Problem (F2BP) models a binary system taking into account the entire mass distribution of one or both bodies. It is important to understand the motion of the binary system itself before studying the motion of particles or spacecraft in this environment, which is referred as the Restricted Full Three Body Problem (RF3BP). The F2BP model used herein is an ellipsoid-sphere system, which reduces the complexity of the problem while keeping interesting dynamical features. The current research looks at the conditions for the system to be in relative equilibrium. It is found that the equilibrium states are the minimum energy points of nearby periodic families. Simulations indicate possible paths from unstable to stable configurations, giving insights on how these binary systems may evolve in time. In modeling the dynamics of a spacecraft in this relatively small scale environment compared to the sun and planets, these systems can be thought of as being "mini" Three Body Problems, where the motion is strongly perturbed by the system's dynamics and by solar effects. These dynamics are analyzed using libration points, energy constraints, periodic orbits, and other methods of astrodynamics for a binary in relative equilibrium, and also accounting for perturbed motion of the primaries. Since the ellipsoidal body introduces surface constraints, the thesis also explores motion on the surface of these bodies, using transit trajectories between the two bodies and impact dynamics and control of landers. Finally, an innovative mission proposal is developed that takes advantage of the unique dynamical environment at binary asteroids to carry out a scientific exploration mission. A case study is presented for the binary system 1999 KW4 and compared to other observed binary systems.Ph.D.Aerospace EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/60695/1/juliebel_1.pd

Mission Concepts and Operations for Asteroid Mitigation Involving Multiple Gravity Tractors

The gravity tractor concept is a proposed method to deflect an imminent asteroid impact through gravitational tugging over a time scale of years. In this study, we present mission scenarios and operational considerations for asteroid mitigation efforts involving multiple gravity tractors. We quantify the deflection performance improvement provided by a multiple gravity tractor campaign and assess its sensitivity to staggered launches. We next explore several proximity operation strategies to accommodate multiple gravity tractors at a single asteroid including formation-flying and mechanically-docked configurations. Finally, we utilize 99942 Apophis as an illustrative example to assess the performance of a multiple gravity tractor campaign

Trajectories to Nab a NEA (Near-Earth Asteroid)

In 2010 and 2011 NASA and KISS sponsored studies to investigate the feasibility of identifying, capturing, and returning an entire (albeit small) NEA to the vicinity of Earth, and concluded that a 40-kW solar electric propulsion system launched on an Atlas 551 provided sufficient propulsion to control an asteroid's trajectory. Once secured by the spacecraft, a NEA with a naturally close encounter with Earth is nudged over a few years to target a lunar gravity assist, capturing the object into Earth orbit. With further use of solar perturbations, up to 3,600,000 kg of NEA could be placed in high-lunar orbit

Dynamic Limits on Planar Libration-Orbit Coupling Around an Oblate Primary

This paper explores the dynamic properties of the planar system of an ellipsoidal satellite in an equatorial orbit about an oblate primary. In particular, we investigate the conditions for which the satellite is bound in librational motion or when the satellite will circulate with respect to the primary. We find the existence of stable equilibrium points about which the satellite can librate, and explore both the linearized and non-linear dynamics around these points. Absolute bounds are placed on the phase space of the libration-orbit coupling through the use of zero-velocity curves that exist in the system. These zero-velocity curves are used to derive a sufficient condition for when the satellite's libration is bound to less than 90 degrees. When this condition is not satisfied so that circulation of the satellite is possible, the initial conditions at zero libration angle are determined which lead to circulation of the satellite. Exact analytical conditions for circulation and the maximum libration angle are derived for the case of a small satellite in orbits of any eccentricity.Comment: Submitted to Celestial Mechanics and Dynamical Astronom

Human and Robotic Mission to Small Bodies: Mapping, Planning and Exploration

This study investigates the requirements, performs a gap analysis and makes a set of recommendations for mapping products and exploration tools required to support operations and scientific discovery for near- term and future NASA missions to small bodies. The mapping products and their requirements are based on the analysis of current mission scenarios (rendezvous, docking, and sample return) and recommendations made by the NEA Users Team (NUT) in the framework of human exploration. The mapping products that sat- isfy operational, scienti c, and public outreach goals include topography, images, albedo, gravity, mass, density, subsurface radar, mineralogical and thermal maps. The gap analysis points to a need for incremental generation of mapping products from low (flyby) to high-resolution data needed for anchoring and docking, real-time spatial data processing for hazard avoidance and astronaut or robot localization in low gravity, high dynamic environments, and motivates a standard for coordinate reference systems capable of describing irregular body shapes. Another aspect investigated in this study is the set of requirements and the gap analysis for exploration tools that support visualization and simulation of operational conditions including soil interactions, environment dynamics, and communications coverage. Building robust, usable data sets and visualisation/simulation tools is the best way for mission designers and simulators to make correct decisions for future missions. In the near term, it is the most useful way to begin building capabilities for small body exploration without needing to commit to specific mission architectures

Ephemeris and hazard assessment for near-Earth asteroid (101955) Bennu based on OSIRIS-REx data

Small bodies such as the near-Earth asteroid Bennu drift in their orbit due to thermal radiation forces (the Yarkovsky effect). Ground-based observations have indicated a nonzero probability of Bennu impacting Earth, depending on how its orbit evolves. Thus, among the goals of the OSIRIS-REx (Origins, Spectral Interpretation, Resource Identification, and Security-Regolith Explorer) mission to Bennu were to precisely measure the Yarkovsky effect and refine the impact hazard assessment for this body. Here we address these objectives. Using OSIRIS-REx spacecraft tracking data, we derive meter-level constraints on the distance between Earth and Bennu from January 2019 to October 2020. While these data greatly improve the knowledge of the trajectory of Bennu, they also require an unprecedented fidelity for the modeling of an asteroid’s trajectory. In particular, special care is needed to take into account the contribution of 343 small-body perturbers and the uncertainty in their masses. Radiation effects such as the Poynting–Robertson drag, so far only considered for interplanetary dust dynamics, now become a consideration for modeling the trajectory of a 500-m asteroid such as Bennu. By employing a thermophysical model based on OSIRIS-REx’s characterization of Bennu, we estimate a semimajor axis drift of−284.6 ± 0.2m/yr (signal-to-noise ratio∼1400) at epoch 2011 January 1 caused by the Yarkovsky effect. The largest source of modeling error is solar wind drag, which may lower the magnitude of the semimajor axis drift from the Yarkovsky effect by up to 0.16 m/yr. The Yarkovsky-related semimajor axis drift varies by roughly±1m/yr as the orbit of Bennu evolves due to planetary perturbations from 1900 to 2135. The Yarkovsky thermophysical model proves to be extremely accurate by predicting a bulk density estimate within 0.1% of that estimated through gravity science analysis. Compared to the information available before the OSIRIS-REx mission, the knowledge of the circumstances of the scattering Earth encounter that will occur in 2135 improves by a factor of 20, thus allowing us to rule out many previously possible impact trajectories. However, there remain some impact trajectories compatible with the data. Prior to the spacecraft encounter, the overall impact probability through 2200 was 3.7 × 10−4 (1 in 2700). As a result of our analysis, the cumulative impact probability through 2300 becomes 5.7 × 10−4 (1 in 1750) and the most significant individual impact solution is for September 2182, with an impact probability of 3.7 × 10−4 (1 in 2700). Both Bennu and (29075) 1950 DA have a Palermo scale value of −1.42 and share the distinction as the currently most hazardous object in the asteroid catalog