Search Results - "Graven, Andrew J"
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1
A Geometric Approach to Optimal Control of Hybrid and Impulsive Systems
Published 22-11-2021“…Hybrid dynamical systems are systems which undergo both continuous and discrete transitions. The Bolza problem from optimal control theory is applied to these…”
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An Elementary Proof of Poincar\'e's Last Geometric Theorem
Published 16-11-2021“…Pro Mathematica , Vol. 31, No. 62, Feb. 2021, pp. 61-93, https://revistas.pucp.edu.pe/index.php/promathematica/article/view/23436 It is shown that the…”
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The Long-Term Forecast of Station View Periods for Elliptical Orbits
Published 12-10-2020“…AAS 19-681: Astrodynamics Specialist Conference, Portland, ME, Aug 2019 In a previous paper, using ergodic theory, Lo [1] derived a simple definite integral…”
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4
A Rapid Method For Orbital Coverage Statistics With $\mathbf{J_2}$ Using Ergodic Theory
Published 05-02-2021“…Quantifying long-term statistical properties of satellite trajectories typically entails time-consuming trajectory propagation. We present a fast,…”
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