TY - JOUR
T1 - Analytical and semi-analytical investigations of geosynchronous space debris with high area-to-mass ratios influenced by solar radiation pressure
AU - Valk, Stephane
AU - Lemaître, Anne
AU - Anselmo, Luciano
PY - 2008
Y1 - 2008
N2 - This paper provides a hamiltonian formulation of the averaged equations of motion
with respect to short periods (1 day) of a space debris subjected to direct solar
radiation pressure and orbiting near the geostationary ring. This theory is based on
a semi-analytical theory of order 1 regarding the averaging process, formulated using
canonical and non-singular elements for eccentricity and inclination. The analysis is
based on an expansion in powers of the eccentricity and of the inclination, truncated
at an arbitrary high order.
First, the dynamical evolution of space debris released near the geostationary ring,
with area-to-mass ratios as high as 40 m2/kg is analyzed within the framework of
mid-term evolution (1 year) as well as long-term evolution (several decades).
This study is carried out, using both simplified analytical models to clarify some
properties, as well as our complete semi-analytical theory which leads to an accurate
understanding of the mid-term and long-term evolution of the eccentricity and
of the inclination. We also analyzed the coupling equations between the eccentricity
and the inclination, considering a doubly averaged analytical model. Second,
we also focused our attention on the comparison of various direct radiation pressure
approximations in order to assess their consequences. Last, this paper claims
to be the continuation and the counterpart of previous papers dealing with geosynchronous
orbits and radiation pressure, that is [Anselmo & Pardini, 2005] and
[Valk S. et al., 2007].
AB - This paper provides a hamiltonian formulation of the averaged equations of motion
with respect to short periods (1 day) of a space debris subjected to direct solar
radiation pressure and orbiting near the geostationary ring. This theory is based on
a semi-analytical theory of order 1 regarding the averaging process, formulated using
canonical and non-singular elements for eccentricity and inclination. The analysis is
based on an expansion in powers of the eccentricity and of the inclination, truncated
at an arbitrary high order.
First, the dynamical evolution of space debris released near the geostationary ring,
with area-to-mass ratios as high as 40 m2/kg is analyzed within the framework of
mid-term evolution (1 year) as well as long-term evolution (several decades).
This study is carried out, using both simplified analytical models to clarify some
properties, as well as our complete semi-analytical theory which leads to an accurate
understanding of the mid-term and long-term evolution of the eccentricity and
of the inclination. We also analyzed the coupling equations between the eccentricity
and the inclination, considering a doubly averaged analytical model. Second,
we also focused our attention on the comparison of various direct radiation pressure
approximations in order to assess their consequences. Last, this paper claims
to be the continuation and the counterpart of previous papers dealing with geosynchronous
orbits and radiation pressure, that is [Anselmo & Pardini, 2005] and
[Valk S. et al., 2007].
KW - Space debris; Long-term evolution; Equilibria; Non-singular variables; Geosynchronous orbits; Hamiltonian formalism; Non-gravitational influence; Radiation pressure; High area-to-mass ratios.
M3 - Article
VL - 41
SP - 1077
EP - 1090
JO - Advances in Space Research
JF - Advances in Space Research
IS - 7
ER -