{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-9684309","patent":{"patent_number":"US-9684309","title":"Aircraft guidance based on partial differential equation for miss distance","assignee":null,"inventors":[],"filing_date":"2016-01-06T00:00:00.000Z","publication_date":"2017-06-20T00:00:00.000Z","cpc_codes":["G05D","G01C","G05D","G05D"],"num_claims":21,"abstract":"A guidance, navigation and control (GNC) system guides an aircraft based on a special partial differential equation (PDE). The system does not depend on a predetermined desired flight path. To overcome effects of unpredictable wind speed and direction, systems and methods effectively repeatedly determine the worst landing the wind can cause and issue flight control commands that minimize among these worst outcomes. A function C that satisfies the PDE calculates smallest miss distance a guidance system can bring about by appropriately steering an aircraft, given the aircraft's current heading, current location relative to a target and current remaining amount of time to fly. The system repeatedly determines at least a component of a current gradient of the function C. A value of the gradient component is used to select an appropriate flight control command, such as turn left or turn right."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Aircraft guidance based on partial differential equation for miss distance","description":"A guidance, navigation and control (GNC) system guides an aircraft based on a special partial differential equation (PDE). The system does not depend on a predetermined desired flight path. To overcom","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-9684309","license":"CC-BY-4.0-like","license_terms":"AI-generated analysis on this page (summary, layman_explanation, technical_analysis, business_analysis, faqs) may be reused with attribution and a visible link back to the canonical URL above. Patent abstracts, claims, and bibliographic data are USPTO public domain.","required_link":"https://patentable.app/patents/US-9684309","citation_suggestion":"Patentable. \"Aircraft guidance based on partial differential equation for miss distance\" (US-9684309). https://patentable.app/patents/US-9684309","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-9684309","json":"https://patentable.app/api/llm-context/US-9684309","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-06-06T14:00:20.946Z"}