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Abstract
This paper introduces new families of Suncentered nonKeplerian orbits
(NKOs) that are constrained to a threedimensional surface such as a cylinder or
sphere. As such, they are an extension to the wellknown families of two dimensional NKOs. For both the cylindrical and spherical types of orbits, the
equations of motion are derived in an appropriate reference frame, constraints
are introduced to confine the orbit to a cylindrical or spherical surface and further constraints allow the definition of the set of feasible orbits. Additionally, the phase spaces of the orbits are explored and a numerical analysis is developed to find periodic orbits within the set of feasible 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 keep the spacecraft on the cylindrical or spherical surface. These new families of NKOs generate a wealth of new orbits with a range of interesting applications ranging from solar physics to astronomy and planetary observation.
(NKOs) that are constrained to a threedimensional surface such as a cylinder or
sphere. As such, they are an extension to the wellknown families of two dimensional NKOs. For both the cylindrical and spherical types of orbits, the
equations of motion are derived in an appropriate reference frame, constraints
are introduced to confine the orbit to a cylindrical or spherical surface and further constraints allow the definition of the set of feasible orbits. Additionally, the phase spaces of the orbits are explored and a numerical analysis is developed to find periodic orbits within the set of feasible 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 keep the spacecraft on the cylindrical or spherical surface. These new families of NKOs generate a wealth of new orbits with a range of interesting applications ranging from solar physics to astronomy and planetary observation.
Original language  English 

Pages  AAS 13871 
Number of pages  20 
Publication status  Published  11 Aug 2013 
Event  AAS/AIAA Astrodynamics Specialist Conference 2013  Hilton Head, South Carolina, United States Duration: 11 Aug 2013 → 15 Aug 2013 
Conference
Conference  AAS/AIAA Astrodynamics Specialist Conference 2013 

Country  United States 
City  Hilton Head, South Carolina 
Period  11/08/13 → 15/08/13 
Keywords
 orbital dynamics
 nonKeplerian orbits
 solar sailing
 solar electric propulsion
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Projects
 1 Finished

VISIONSPACE  VISIONARY SPACE SYSTEMS: ORBITAL DYNAMICS AT EXTREMES OF SPACECRAFT LENGTH SCALE (ERC ADVANCED GRANT)
McInnes, C.
European Commission  FP7  European Research Council
1/02/09 → 30/09/14
Project: Research