Heterogeneous multiscale methods for orbital dynamics

Jérôme Daquin, Guillaume Lion, Florent Deleflie

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

Abstract

The Heterogeneous Multiscale Method (HMM) is a general framework to deal with problems having multiple scales (in time or in a space). In the context of oscillatory ordinary differential equations with disparate timescales, the HMM scheme exploits the scale separation to build an approximate, on the fly, of an effective system. The effective system obtained by a mollification, supposed to encapsulate the essential degree of freedom, can then be integrated numerically at a cheaper cost. In this contribution, after reviewing the components of the averaging theory and the formalism of the HHM scheme, we deploy it towards the deterministic equations of Earth satellites. This scheme could inspire the design of a single, monolithic and hierarchical orbital integrator suited for short or longer arc computations.

Original languageEnglish
Title of host publication68th International Astronautical Congress, IAC 2017
Subtitle of host publicationUnlocking Imagination, Fostering Innovation and Strengthening Security
PublisherInternational Astronautical Federation, IAF
Pages7590-7604
Number of pages15
ISBN (Print)9781510855373
Publication statusPublished - 1 Jan 2017
Externally publishedYes
Event68th International Astronautical Congress: Unlocking Imagination, Fostering Innovation and Strengthening Security, IAC 2017 - Adelaide, Australia
Duration: 25 Sep 201729 Sep 2017

Publication series

NameProceedings of the International Astronautical Congress, IAC
Volume12
ISSN (Print)0074-1795

Conference

Conference68th International Astronautical Congress: Unlocking Imagination, Fostering Innovation and Strengthening Security, IAC 2017
Country/TerritoryAustralia
CityAdelaide
Period25/09/1729/09/17

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