5,178 research outputs found

    Interplanetary sector structure, 1962 - 1966

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    Properties of interplanetary magnetic field observed by IMP-

    Solar source of the interplanetary sector structure

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    Comparison of satellite interplanetary magnetic field observations with photospheric magnetic field and plage structur

    Movie of the interplanetary magnetic field

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    Description of movie representing IMP-1 MAGNETOMETER observations of interplanetary magnetic fiel

    Fast Mesh Refinement in Pseudospectral Optimal Control

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    Mesh refinement in pseudospectral (PS) optimal control is embarrassingly easy --- simply increase the order NN of the Lagrange interpolating polynomial and the mathematics of convergence automates the distribution of the grid points. Unfortunately, as NN increases, the condition number of the resulting linear algebra increases as N2N^2; hence, spectral efficiency and accuracy are lost in practice. In this paper, we advance Birkhoff interpolation concepts over an arbitrary grid to generate well-conditioned PS optimal control discretizations. We show that the condition number increases only as N\sqrt{N} in general, but is independent of NN for the special case of one of the boundary points being fixed. Hence, spectral accuracy and efficiency are maintained as NN increases. The effectiveness of the resulting fast mesh refinement strategy is demonstrated by using \underline{polynomials of over a thousandth order} to solve a low-thrust, long-duration orbit transfer problem.Comment: 27 pages, 12 figures, JGCD April 201

    Interplanetary magnetic field IMP-1, motion picture of the transverse components

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    Motion picture report of IMP-1 magnetometer observations of interplanetary magnetic fiel

    A model of interplanetary and coronal magnetic fields

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    Model of interplanetary and solar magnetic field structure above photosphere using Green function solution to Maxwell equation

    Functional Forms for the Squeeze and the Time-Displacement Operators

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    Using Baker-Campbell-Hausdorff relations, the squeeze and harmonic-oscillator time-displacement operators are given in the form exp[δI]exp[α(x2)]exp[β(x)]exp[γ()2]\exp[\delta I] \exp[\alpha (x^2)]\exp[\beta(x\partial)] \exp[\gamma (\partial)^2], where α\alpha, β\beta, γ\gamma, and δ\delta are explicitly determined. Applications are discussed.Comment: 10 pages, LaTe

    Extension of the photospheric magnetic field into interplanetary space

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    Extension of photospheric magnetic field into interplanetary spac

    Nonlinear ultrasonic phased array imaging

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