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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
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.
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.
Linking options:
https://www.mathnet.ru/eng/ipmp2771 https://www.mathnet.ru/eng/ipmp/y2019/p133
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Statistics & downloads: |
Abstract page: | 182 | Full-text PDF : | 33 | References: | 28 |
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