Cylindrically and spherically constrained families of non-Keplerian orbits

Jeannette Heiligers, Colin McInnes

Research output: Contribution to conferencePaper

Abstract

This paper introduces new families of Sun-centered non-Keplerian orbits
(NKOs) that are constrained to a three-dimensional surface such as a cylinder or
sphere. As such, they are an extension to the well-known 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.
LanguageEnglish
PagesAAS 13-871
Number of pages20
Publication statusPublished - 11 Aug 2013
EventAAS/AIAA Astrodynamics Specialist Conference 2013 - Hilton Head, South Carolina, United States
Duration: 11 Aug 201315 Aug 2013

Conference

ConferenceAAS/AIAA Astrodynamics Specialist Conference 2013
CountryUnited States
CityHilton Head, South Carolina
Period11/08/1315/08/13

Fingerprint

Orbits
Orbit
Family
Electric propulsion
Astronomy
Spacecraft
Sun
Periodic Orbits
Numerical Analysis
Phase Space
Numerical analysis
Physics
Three-dimensional
Motion
Range of data

Keywords

  • orbital dynamics
  • non-Keplerian orbits
  • solar sailing
  • solar electric propulsion

Cite this

Heiligers, J., & McInnes, C. (2013). Cylindrically and spherically constrained families of non-Keplerian orbits. AAS 13-871. Paper presented at AAS/AIAA Astrodynamics Specialist Conference 2013, Hilton Head, South Carolina, United States.
Heiligers, Jeannette ; McInnes, Colin. / Cylindrically and spherically constrained families of non-Keplerian orbits. Paper presented at AAS/AIAA Astrodynamics Specialist Conference 2013, Hilton Head, South Carolina, United States.20 p.
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Heiligers, J & McInnes, C 2013, 'Cylindrically and spherically constrained families of non-Keplerian orbits' Paper presented at AAS/AIAA Astrodynamics Specialist Conference 2013, Hilton Head, South Carolina, United States, 11/08/13 - 15/08/13, pp. AAS 13-871.

Cylindrically and spherically constrained families of non-Keplerian orbits. / Heiligers, Jeannette; McInnes, Colin.

2013. AAS 13-871 Paper presented at AAS/AIAA Astrodynamics Specialist Conference 2013, Hilton Head, South Carolina, United States.

Research output: Contribution to conferencePaper

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T1 - Cylindrically and spherically constrained families of non-Keplerian orbits

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AB - This paper introduces new families of Sun-centered non-Keplerian orbits(NKOs) that are constrained to a three-dimensional surface such as a cylinder orsphere. As such, they are an extension to the well-known families of two dimensional NKOs. For both the cylindrical and spherical types of orbits, theequations of motion are derived in an appropriate reference frame, constraintsare 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.

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Heiligers J, McInnes C. Cylindrically and spherically constrained families of non-Keplerian orbits. 2013. Paper presented at AAS/AIAA Astrodynamics Specialist Conference 2013, Hilton Head, South Carolina, United States.