Picture of DNA strand

Pioneering chemical biology & medicinal chemistry through Open Access research...

Strathprints makes available scholarly Open Access content by researchers in the Department of Pure & Applied Chemistry, based within the Faculty of Science.

Research here spans a wide range of topics from analytical chemistry to materials science, and from biological chemistry to theoretical chemistry. The specific work in chemical biology and medicinal chemistry, as an example, encompasses pioneering techniques in synthesis, bioinformatics, nucleic acid chemistry, amino acid chemistry, heterocyclic chemistry, biophysical chemistry and NMR spectroscopy.

Explore the Open Access research of the Department of Pure & Applied Chemistry. Or explore all of Strathclyde's Open Access research...

New families of Sun-centred non-Keplerian orbits over cylinders and spheres

Heiligers, Jeannette and McInnes, Colin (2014) New families of Sun-centred non-Keplerian orbits over cylinders and spheres. Celestial Mechanics and Dynamical Astronomy, 120 (2). pp. 163-194. ISSN 0923-2958

[img] PDF (Heiligers J & McInnes CR - Pure - New families of Sun-centred non-Keplerian orbits over cylinders and spheres Jul 2014)
Heiligers_J_McInnes_CR_Pure_New_families_of_Sun_centred_non_Keplerian_orbits_over_cylinders_and_spheres_Jul_2014.pdf
Accepted Author Manuscript
License: Creative Commons Attribution-NonCommercial-ShareAlike 4.0 logo

Download (7MB)

Abstract

This paper introduces new families of Sun-centered non-Keplerian orbits (NKOs) that are constrained to a three-dimensional, cylindrical or spherical surface. As such, they are an extension to the well-known families of displaced NKOs that are confined to a two-dimensional plane. The cylindrical and spherical orbits are found by investigating the geometrically constrained spacecraft dynamics. By imposing further constraints on the orbit's angular velocity and propulsive acceleration, the set of feasible orbits is defined. Additionally, the phase spaces of the orbits are explored and a numerical analysis is developed to find periodic orbits. The richness of the problem is further enhanced by considering both an inverse square acceleration law (mimicking solar electric propulsion) and a solar sail acceleration law to maintain the spacecraft on the three-dimensional surface. The wealth of orbits that these new families of NKOs generate allows for a range of novel space applications.