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Preprints of the Keldysh Institute of Applied Mathematics, 2019, 133, 32 pp.
DOI: https://doi.org/10.20948/prepr-2019-133
(Mi ipmp2771)
 

Some examples of “non-completed” boundary value problem solutions for multi-orbital transfers to geostationary orbit with zero thrust in the shadow

R. Z. Akhmetshin
References:
Abstract: Transfers in the central Newtonian field from high-elliptical orbits to geostationary one of a spacecraft with low thrust, which becomes zero in the Earth shadow, are considered. To find such trajectories so called 'non-completed' two-point boundary value problem that do not include a condition of optimal crossing the shadow boundary is solved. It's shown that when a longitude of ascending node $\Omega_0$ is equal to $180^\circ$ expenditures of working substance are not much more than for a basic transfer (without switching the low thrust off). If $\Omega_0$ is chosen the best and the duration of flight is half-year or smaller then expenditures are less than for a basic transfer.
Keywords: multi-orbital trajectories, spacecraft, low thrust, geostationary orbit, Earth shadow, two-point boundary value problem.
Document Type: Preprint
Language: Russian
Citation: R. Z. Akhmetshin, “Some examples of “non-completed” boundary value problem solutions for multi-orbital transfers to geostationary orbit with zero thrust in the shadow”, Keldysh Institute preprints, 2019, 133, 32 pp.
Citation in format AMSBIB
\Bibitem{Akh19}
\by R.~Z.~Akhmetshin
\paper Some examples of “non-completed” boundary value problem solutions for multi-orbital transfers to geostationary orbit with zero thrust in the shadow
\jour Keldysh Institute preprints
\yr 2019
\papernumber 133
\totalpages 32
\mathnet{http://mi.mathnet.ru/ipmp2771}
\crossref{https://doi.org/10.20948/prepr-2019-133}
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