@article{Beth:2015:10.1016/j.icarus.2015.10.018,
author = {Beth, A and Garnier, P and Toublanc, D and Dandouras, I and Mazelle, C},
doi = {10.1016/j.icarus.2015.10.018},
journal = {Icarus},
pages = {410--422},
title = {Theory for planetary exospheres: I. Radiation pressure effect on dynamical trajectories},
url = {http://dx.doi.org/10.1016/j.icarus.2015.10.018},
volume = {266},
year = {2015}
}

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TY  - JOUR
AB  - The planetary exospheres are poorly known in their outer parts, since the neutral densities are low comparedwith the instruments detection capabilities. The exospheric models are thus often the main sourceof information at such high altitudes. We present a new way to take into account analytically the additionaleffect of the radiation pressure on planetary exospheres. In a series of papers, we present with anHamiltonian approach the effect of the radiation pressure on dynamical trajectories, density profiles andescaping thermal flux. Our work is a generalisation of the study by Bishop and Chamberlain (Bishop, J.,Chamberlian, J.W. [1989]. Icarus 81, 145–163). In this first paper, we present the complete solutions ofparticles trajectories, which are not conics, under the influence of the solar radiation pressure with someassumptions. This problem is similar to the classical Stark problem (Stark, J. [1914]. Ann. Phys. 348,965–982). This problem was largely tackled in the literature and more specifically, recently by Lantoineand Russell (Lantoine, G., Russell, R.P. [2011]. Celest. Mech. Dynam. Astron. 109, 333–366) and byBiscani and Izzo (Biscani, F., Izzo, D. [2014]. Mon. Not. R. Astron. Soc. 439, 810–822) as we will discussin this paper. We give here the full set of solutions for the motion of a particle (in our case for an atomor a molecule), i.e. the space coordinates and the time solution for bounded and unbounded trajectoriesin terms of Jacobi elliptic functions. We thus provide here the complete set of solutions for this so-callStark effect (Stark, J. [1914]. Ann. Phys. 348, 965–982) in terms of Jacobi elliptic functions (Jacobi, C.G.J. [1829]. Fundamenta nova theoriae functionum ellipticarum. Sumtibus fratrum), which may be usedto model the trajectories of particles in planetary exospheres.
AU  - Beth,A
AU  - Garnier,P
AU  - Toublanc,D
AU  - Dandouras,I
AU  - Mazelle,C
DO  - 10.1016/j.icarus.2015.10.018
EP  - 422
PY  - 2015///
SN  - 0019-1035
SP  - 410
TI  - Theory for planetary exospheres: I. Radiation pressure effect on dynamical trajectories
T2  - Icarus
UR  - http://dx.doi.org/10.1016/j.icarus.2015.10.018
UR  - http://hdl.handle.net/10044/1/34257
VL  - 266
ER  - 

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