DEVICE FOR OPTIMAL SATELLITE EFFECTS DELIVERY VIA REVERSE TIME HEAT ISOMORPHISM

    公开(公告)号:US20230373658A1

    公开(公告)日:2023-11-23

    申请号:US17749945

    申请日:2022-05-20

    CPC classification number: B64G1/1007 B64G1/1085 G06F17/13

    Abstract: Apparatus, computer-readable medium, and method for optimal delivery of one or more satellite effects via reverse time heat equation isomorphism including constructing a generalized formulation of the heat equation corresponding to a commander's intent for delivery of the one or more satellite effects, performing a separation of variables to decouple a plurality of variables into a plurality of corresponding separated equations, solving the plurality of separated equations to produce candidate solutions, applying boundary conditions to each candidate solution, filtering the candidate solutions to mitigate ill-posedness of solving the inverse of the heat equation, assessing formal differences between the candidate solutions and the inverse of the heat equation, and generating an optimized schedule of the one or more satellite effects based on the assessment of the formal differences of the candidate solutions.

    Device for optimal satellite effects delivery via reverse time heat isomorphism

    公开(公告)号:US12240629B2

    公开(公告)日:2025-03-04

    申请号:US17749945

    申请日:2022-05-20

    Abstract: Apparatus, computer-readable medium, and method for optimal delivery of one or more satellite effects via reverse time heat equation isomorphism including constructing a generalized formulation of the heat equation corresponding to a commander's intent for delivery of the one or more satellite effects, performing a separation of variables to decouple a plurality of variables into a plurality of corresponding separated equations, solving the plurality of separated equations to produce candidate solutions, applying boundary conditions to each candidate solution, filtering the candidate solutions to mitigate ill-posedness of solving the inverse of the heat equation, assessing formal differences between the candidate solutions and the inverse of the heat equation, and generating an optimized schedule of the one or more satellite effects based on the assessment of the formal differences of the candidate solutions.

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