This article is cited in 1 paper

“Not full” two-boundary problem for finding multi-orbital transfers with zero low thrust in the shadow

R. Z. Akhmetshin


Abstract: A lot of calculations of multi-orbital transfers from elliptical orbit (with perigee distance $\approx 15.6$ and apogee distance $\approx 83.2$ thousand km, and inclination $13^{\circ}$) to geostationary orbit of spacecraft with low thrust, which becomes zero in the Earth shadow, is done. To find such trajectories so called “not full” two-boundary problem that do not include a condition of optimal crossing the shadow line is solved. That's why trajectories are not optimal, but in many cases expenditure of working substance is not much more than on a trajectory without switching off the low thrust. For longitude of ascending node equal to $180^{\circ}$ and different start dates the difference is later than $1\%$. The peculiarity of two-boundary problem is that in some cases more than one solution may exist.

Keywords: multi-orbital trajectories, spacecraft, low thrust, geostationary orbit, Earth shadow, two-boundary problem.

DOI: 10.20948/prepr-2018-268

Bibliographic databases:

•