1–18 of 18 hits
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    Energy Approach Algorithm for Attitude Determination from Vector Observations

    Mortari, Daniele | Springer Verlag | 1997
    easy to code and equivalent in accuracy. Finally, a numerical comparison of the fastest Energy Approach Algorithm (EAA) solution form with ...
    Keywords: Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)

    Search-Less Algorithm for Star Pattern Recognition

    Mortari, Daniele | Springer Verlag | 1997

    A fast and robust star identification technique (which does not use a searching phase) is presented for a

     ...
    Keywords: Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)

    ESOQ: A Closed-Form Solution to the Wahba Problem

    Mortari, Daniele | Springer Verlag | 1997
    , known as the Wahba problem, is presented. The algorithm first provides the closed-form expressions of a 4 × 4 matrix eigenvalues and then ...
    Keywords: Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)

    Quaternion Attitude Estimation Using Vector Observations

    Markley, F. Landis / Mortari, Daniele | Springer Verlag | 2000
    presented for the QUaternion ESTimator (QUEST) and Estimators of the Optimal Quaternion (ESOQ and ESOQ2) to avoid the computational burden of ...
    Keywords: Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)

    On the Rigid Rotation Concept in n-Dimensional Spaces

    Mortari, Daniele | Springer Verlag | 2001
    angle (principal angle) and on a set of (n ‒ 2) principal axes. The latter, however, can be more conveniently replaced by only ...
    Keywords: Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)

    Ortho-Skew and Ortho-Sym Matrix Trigonometry

    Mortari, Daniele | Springer Verlag | 2004
    consist of closed-form compact expressions of trigonometric and hyperbolic functions that show that multiples of these matrices can be interpreted ...
    Keywords: Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)

    The Flower Constellations

    Mortari, Daniele / Wilkins, Matthew P. / Bruccoleri, Christian | Springer Verlag | 2004
    d), and the number of satellites (Ns). The others include the phasing parameters and three ...
    Keywords: Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)

    Attitude and orbit error in n-dimensional spaces

    Mortari, Daniele / Scuro, Sante R. / Bruccoleri, Christian | Springer Verlag | 2006
    decomposition allows us to see a General Linear transformation as a combination of two subsequent effects: a dilation and a rigid rotation. This ...
    Keywords: Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Extraterrestrial Physics, Space Sciences

    Nondimensional star identification for uncalibrated star cameras

    Samaan, Malak A. / Mortari, Daniele / Junkins, John L. | Springer Verlag | 2006
    from both the focal length and the optical axis offsets. The adoption of the k-vector range search technique ...
    Keywords: Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Extraterrestrial Physics, Space Sciences

    MRAD: Modified rodrigues vector attitude determination

    Bruccoleri, Christian / Mortari, Daniele | Springer Verlag | 2006
    Filters for attitude estimation, because it reduces the length of the state vector and there is no need to enforce the unit length constraint as ...
    Keywords: Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Extraterrestrial Physics, Space Sciences

    Preface

    Crassidis, John L. / Junkins, John L. / Howell, Kathleen C. et al. | Springer Verlag | 2009
    Keywords: Prestigious Journal , Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Extraterrestrial Physics, Space Sciences

    Multiplicative Measurement Model

    Mortari, Daniele / Majji, Manoranjan | Springer Verlag | 2009
    observed vectors where the error is modeled as a rigid rotation of the true direction about an axis orthogonal to it. Motivation comes from the ...
    Keywords: Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Extraterrestrial Physics, Space Sciences

    The K-Vector ND and its Application to Building a Non-Dimensional Star Identification Catalog

    Spratling, Benjamin B. IV / Mortari, Daniele | Springer Verlag | 2011
    k-vector (K-Vector ND), is presented. The algorithm is analyzed and found to have an execution time that is independent of the ...
    Keywords: Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Extraterrestrial Physics, Space Sciences

    Information Theoretic Weighting for Robust Star Centroiding

    Flewelling, Brien R. / Mortari, Daniele | Springer Verlag | 2011
    Abstract A statistical methodology for the global and local analysis of star tracker image content is ...
    Keywords: Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Extraterrestrial Physics, Space Sciences

    A k-Vector Approach to Sampling, Interpolation, and Approximation

    Mortari, Daniele / Rogers, Jonathan | Springer Verlag | 2013
    numerous other problem areas including non-uniform random variate sampling, interpolation of 1-D or 2-D tables, nonlinear function inversion, and ...
    Keywords: Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Extraterrestrial Physics, Space Sciences

    Fuel-Efficient Powered Descent Guidance on Large Planetary Bodies via Theory of Functional Connections

    Johnston, Hunter / Schiassi, Enrico / Furfaro, Roberto et al. | Springer Verlag | 2020
    . In addition to the derivation of this technique, the method is validated in two scenarios and the results are compared to those obtained by ...
    Keywords: Theory of functional connections , Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)

    Angular Velocity and Covariance Estimates for Rigid Bodies in Near Pure-Spin Using Orientation Measurements

    Kaki, Siddarth / Akella, Maruthi R. / Mortari, Daniele | Springer Verlag | 2022

    The problem of estimating relative pose and angular velocity for uncooperative space objects has

     ...
    Keywords: Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)

    Rapidly Exploring Random Trees with Physics-Informed Neural Networks for Constrained Energy-Optimal Rendezvous Problems

    Drozd, Kristofer / Furfaro, Roberto / Mortari, Daniele | Springer Verlag | 2024
    ) equations of motion and nonlinear equations of relative motion (NERM), where a deputy satellite must rendezvous with a chief satellite while ...
    Keywords: Theory of functional connections , Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)