We overview a theoretical scheme enabling evaluation of the
radiative force acting on different celestial bodies
(artificial satellites, interplanetary dust grains) based on
the moment formalism introduced in the theory of radiative
transfer. This approach allows an elegant and powerful
algorithm for the radiative force investigation in
complex situations (e.g. the Earth shadow penumbra transitions).
It accounts for the influence of general radiative field
generated by an extended source with arbitrary
surface emissivity. A number of tutorial computations
of the simplified configurations already met in the
literature are presented.
Recently, we have applied the moment formalism to the shadow
penumbra theory in context of the artificial satellite dynamics.
Here we follow several ideas generalizing previous model in different
routes: towards the (i) first order terms in presumably small
parameter $v/c$ ($v$ stands for the object velocity, while $c$ for the
velocity of light) generally known as the Poynting-Robertson
terms, (ii) arbitrary distances from the planet.
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