J. Ashenberg et Ra. Broucke, EFFECTS OF GENERAL ATMOSPHERIC PERTURBATIONS ON SMALL DEBRIS PARTICLEORBITS, Journal of spacecraft and rockets, 32(5), 1995, pp. 912-917
Atmospheric perturbations due to aerodynamic lift and orthogonal force
were included in the Gaussian form of the variational equations. Thes
e additional perturbations are relevant to orbital objects with a high
ratio of surface area to mass, especially flat particles. Equations f
or the orbital elements were averaged and expanded in a small eccentri
city. The analytical formulation in this paper is applicable to the ge
neral case of orbiting aerodynamic bodies, whereas the numerical resul
ts emphasize flat particles. The results indicate that although the dr
ag is the dominant force, the nondissipative additional forces cannot
he neglected. The additional perturbations mostly contribute periodic
terms in addition to secular terms, especially in eccentric orbits and
in the case of periodic aerodynamic coefficients.