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NASA Scientific and Technical Aerospace Reports

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Perched atop a Long March (CZ-2F) launcher, the Shenztioti V spacecraft took China’s first taikonaut on a trip thoroughly<br />

rehearsed during four unmanned precursor missions. Within China, a publicity campaign was carefully crafted to bring interest<br />

<strong>and</strong> national pride to a peak at the time of the event. Worldwide, media attention was considerable. Prelaunch speculation<br />

about the implications of the Chinese manned space program ranged from dubbing it a stunt to speculation about a new space<br />

race, to angst over its potential military significance.<br />

DTIC<br />

Space Missions; Spacecraft Launching<br />

13<br />

ASTRODYNAMICS<br />

Includes powered <strong>and</strong> free flight trajectories; orbital <strong>and</strong> launching dynamics.<br />

20040068262 Lawrence Livermore National Lab., Livermore, CA<br />

Angular <strong>and</strong> Linear Velocity Estimation for a Re-Entry Vehicle Using Six Distributed Accelerometers: Theory,<br />

Simulation <strong>and</strong> Feasibility<br />

Clark, G. A.; Apr. 28, 2003; In English<br />

Report No.(s): DE2003-15004928; UCRL-ID-153253; No Copyright; Avail: National <strong>Technical</strong> Information Service (NTIS)<br />

This report describes a feasibility study. We are interested in calculating the angular <strong>and</strong> linear velocities of a re-entry<br />

vehicle using six acceleration signals from a distributed accelerometer inertial measurement unit (DAIMU). Earlier work<br />

showed that angular <strong>and</strong> linear velocity calculation using classic nonlinear ordinary differential equation (ODE) solvers is not<br />

practically feasible, due to mathematical <strong>and</strong> numerical difficulties. This report demonstrates the theoretical feasibility of using<br />

model-based nonlinear state estimation techniques to obtain the angular <strong>and</strong> linear velocities in this problem. Practical<br />

numerical <strong>and</strong> calibration issues require additional work to resolve. We show that the six accelerometers in the DAIMU are<br />

not sufficient to provide observability, so additional measurements of the system states are required (e.g. from a Global<br />

Positioning System (GPS) unit). Given the constraint that our system cannot use GPS, we propose using the existing on-board<br />

3-axis magnetometer to measure angular velocity. We further show that the six nonlinear ODE’s for the vehicle kinematics<br />

can be decoupled into three ODE’s in the angular velocity <strong>and</strong> three ODE’s in the linear velocity. This allows us to formulate<br />

a three-state Gauss-Markov system model for the angular velocities, using the magnetometer signals in the measurement<br />

model. This re-formulated model is observable, allowing us to build an Extended Kalman Filter (EKF) for estimating the<br />

angular velocities. Given the angular velocity estimates from the EKF, the three ODE’s for the linear velocity become<br />

algebraic, <strong>and</strong> the linear velocity can be calculated by numerical integration. Thus, we do not need direct measurements of<br />

the linear velocity to provide observability, <strong>and</strong> the technique is mathematically feasible. Using a simulation example, we<br />

show that the estimator adds value over the numerical ODE solver in the presence of measurement noise. Calculating the<br />

velocities in the presence of significant measurement noise is not feasible with a classic ODE solver. The EKF is able to deal<br />

effectively with the noise <strong>and</strong> provide useful angular velocity estimates. The linear velocity estimates for this simulation show<br />

numerical difficulties associated with the nonlinear ODE’s <strong>and</strong> the quadrature operation. Future work will focus on dealing<br />

with practical numerical issues <strong>and</strong> the issue of calibrating the DAIMU to deal with uncertainties in the accelerometer<br />

positions <strong>and</strong> locations.<br />

NTIS<br />

Accelerometers; Angular Velocity; Estimating; Reentry Vehicles; Simulation<br />

20040074311 Princeton Univ., NJ, USA<br />

New Frontiers in Spacecraft Orbit Design<br />

Gurfil, Pini; Kasdin, N. Jeremy; New Concepts for Far-Infrared <strong>and</strong> Submillimeter Space Astronomy; April 2004,<br />

pp. 483-505; In English; See also 20040074260; No Copyright; Avail: CASI; A03, Hardcopy<br />

Utilizing the Sun-Earth spatial elliptic three-body problem (ER3BP) framework, this paper presents new families of<br />

geocentric orbits <strong>and</strong> isolated distant quasiperiodic orbits which do not orbit the Lagrangian equilibrium points. The main<br />

driver for this study is the need to find practical orbits that remain within a bounded distance from Earth, thus allowing high<br />

data-rate communication while ensuring safe operational environment far from thermal perturbations <strong>and</strong> visual occultations<br />

as well as Earth’s magnetic <strong>and</strong> radiation fields. The orbit characterization procedure is performed using a novel approach.<br />

Optimal initial conditions are found using niching genetic algorithms, which render global optimization while permitting<br />

several optimal or sub-optimal solutions to co-exist. This approach yields a diverse probing of the statespace of the ER3BP.<br />

Stability of the orbits is determined using the notion of practical stability. The effect of solar radiation pressure <strong>and</strong> the Moon’s<br />

19

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