Astronomy and Astrophysics – Astronomy
Scientific paper
Nov 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006cemda..96..289a&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, Volume 96, Issue 3-4, pp. 289-309
Astronomy and Astrophysics
Astronomy
2
Non-Linear Boundary Value Problem, Restricted Three-Body Problem, Bicircular Four-Body Problem, Halo Orbits
Scientific paper
A sixth-order accurate scheme is presented for the solution of ODE systems supplemented by two-point boundary conditions. The proposed integration scheme is a linear multi-point method of sixth-order accuracy successfully used in fluid dynamics and implemented for the first time in astrodynamics applications. A discretization molecule made up of just four grid points attains a O( h 6) accuracy which is beyond the first Dahlquist’s stability barrier. Astrodynamics applications concern the computation of libration point halo orbits, in the restricted three- and four-body models, and the design of an optimal control strategy for a low thrust libration point mission.
Armellin Roberto
Topputo Francesco
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