TY - GEN
T1 - Heterogeneous multiscale methods for orbital dynamics
AU - Daquin, Jérôme
AU - Lion, Guillaume
AU - Deleflie, Florent
PY - 2017/1/1
Y1 - 2017/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85051388972&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:85051388972
SN - 9781510855373
T3 - Proceedings of the International Astronautical Congress, IAC
SP - 7590
EP - 7604
BT - 68th International Astronautical Congress, IAC 2017
PB - International Astronautical Federation, IAF
T2 - 68th International Astronautical Congress: Unlocking Imagination, Fostering Innovation and Strengthening Security, IAC 2017
Y2 - 25 September 2017 through 29 September 2017
ER -