Relative motion of satellites exploiting the super-integrability of Kepler's problem
Kristiansen, KU, Palmer, PL and Roberts, M (2010) Relative motion of satellites exploiting the super-integrability of Kepler's problem Celestial Mechanics and Dynamical Astronomy, 106 (4). 371 - 390. ISSN 1572-9478
Available under License : See the attached licence file.
Official URL: http://dx.doi.org/10.1007/s10569-009-9253-y
This paper builds upon thework of Palmer and Imre exploring the relative motion of satellites on neighbouring Keplerian orbits.We make use of a general geometrical setting from Hamiltonian systems theory to obtain analytical solutions of the variational Kepler equations in an Earth centred inertial coordinate frame in terms of the relevant conserved quantities: relative energy, relative angular momentum and the relative eccentricity vector. The paper extends the work on relative satellite motion by providing solutions about any elliptic, parabolic or hyperbolic reference trajectory, including the zero angular momentum case. The geometrical framework assists the design of complex formation flying trajectories. This is demonstrated by the construction of a tetrahedral formation, described through the relevant conserved quantities, for which the satellites are on highly eccentric orbits around the Sun to visit the Kuiper belt.
|Additional Information:||The final publication is available at www.springerlink.com.|
|Divisions:||Faculty of Engineering and Physical Sciences > Mathematics|
|Deposited By:||Symplectic Elements|
|Deposited On:||28 Mar 2012 09:36|
|Last Modified:||16 Feb 2013 15:18|
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