Picture of UK Houses of Parliament

Leading national thinking on politics, government & public policy through Open Access research

Strathprints makes available scholarly Open Access content by researchers in the School of Government & Public Policy, based within the Faculty of Humanities & Social Sciences.

Research here is 1st in Scotland for research intensity and spans a wide range of domains. The Department of Politics demonstrates expertise in understanding parties, elections and public opinion, with additional emphases on political economy, institutions and international relations. This international angle is reflected in the European Policies Research Centre (EPRC) which conducts comparative research on public policy. Meanwhile, the Centre for Energy Policy provides independent expertise on energy, working across multidisciplinary groups to shape policy for a low carbon economy.

Explore the Open Access research of the School of Government & Public Policy. Or explore all of Strathclyde's Open Access research...

Evolution of the L1 halo family in the radial solar sail CRTBP

Verrier, Patricia and Waters, Thomas and Sieber, Jan (2014) Evolution of the L1 halo family in the radial solar sail CRTBP. Celestial Mechanics and Dynamical Astronomy, 120 (4). pp. 373-400. ISSN 0923-2958

[img] PDF (Verrier P et al - Pure - AAM Evolution of the L1 halo family in the radial solar sail CRTBP Aug 2014)
Verrier_P_et_al_Pure_AAM_Evolution_of_the_L1_halo_family_in_the_radial_solar_sail_CRTBP_Aug_2014.pdf
Accepted Author Manuscript

Download (1MB)

    Abstract

    We present a detailed investigation of the dramatic changes that occur in the L1 halo family when radiation pressure is introduced into the Sun-Earth circular restricted three-body problem (CRTBP). This photo-gravitational CRTBP can be used to model the motion of a solar sail orientated perpendicular to the Sun-line. The problem is then parameterized by the sail lightness number, the ratio of solar radiation pressure acceleration to solar gravitational acceleration. Using boundary-value problem numerical continuation methods and the AUTO software package (Doedel et al. 1991) the families can be fully mapped out as the parameter ß is increased. Interestingly, the emergence of a branch point in the retrograde satellite family around the Earth at  ß ~ 0:0387 acts to split the halo family into two new families. As radiation pressure is further increased one of these new families subsequently merges with another non-planar family at ß ~ 0:289, resulting in a third new family. The linear stability of the families changes rapidly at low values of ß, with several small regions of neutral stability appearing and disappearing. By using existing methods within AUTO to continue branch points and period-doubling bifurcations, and deriving a new boundary-value problem formulation to continue the folds and Krein collisions, we track bifurcations and changes in the linear stability of the families in the parameter ß and provide a comprehensive overview of the halo family in the presence of radiation pressure. The results demonstrate that even at small values of ß there is significant difference to the classical CRTBP, providing opportunity for novel solar sail trajectories. Further, we also find that the branch points between families in the solar sail CRTBP provide a simple means of generating certain families in the classical case.