Лан Аньци
18
Инженерный журнал: наука и инновации
# 7·2017
Analysis of spacecraft trajectories for the space mission
Earth — Apophis — Earth and the spacecraft orbital
motion around the asteroid Apophis
© Lang Anqi
Bauman Moscow State Technical University, Moscow, 105005, Russia
It is of great current interest to organize a space mission to explore the "dangerous" aster-
oid Apophis
in order
to research its surface using a landing device and
to conduct remote
investigation with the instruments of this device
using a satellite near Apophis.
This paper
defines and examines the trajectories for the spacecraft flight (with a special mini-device)
to the asteroid Apophis,
staying there for some time and coming back to the Earth. We have
estimated economical trajectories for this mission provided that it would last for two years -
from 2019 to 2022. We have analyzed the task of the spacecraft motion around the asteroid
taking into account three types of perturbations:
the gravitational effects of some distant
celestial bodies (Sun, Earth, Moon, Venus and Jupiter), the
non-spherical structure of
Apophis and the solar radiation pressure (SRP). The article considers two possible types of
spacecraft:
the main spacecraft, which is expected to come back to the Earth after staying
around Apophis for about a week or a month,
and a special mini-satellite, with a long stay
around the asteroid
for clarifying the asteroid orbit.
Keywords:
space mission to asteroid Apophis, optimal trajectories, satellite orbital mo-
tion around asteroid Apophis, nonsphericity of the asteroid, solar radiation pressure,
duration of spacecraft motion around Apophis
REFERENCES
Ivashkin V.V., Lang A. Optimal Spacecraft Trajectories for Flight to Apophis with
Return to Earth Using Chemical High Thrust Engines.
Proceedings of the 2nd In-
ternational Academy of Astronautics Conference on Dynamics and Control of
Space Systems (DyCoSS) held March 24–26, 2014, Rome, Italy.
Graziani F.,
Guerman A.D., Contant J.-M., eds. Univelt Publ., 2015, vol. 153, pp. 1653–1667.
Ivashkin V.V., Lang A.
Doklady Akademii nauk — Doklady Physics
, 2016,
vol. 468, no. 4, pp. 403–407.
Lang A., Ivashkin V.V. Dynamics of Spacecraft Orbital Motion around
Asteroid Apophis.
Proceedings of the 67th International Astronautical Congress
(IAC), Guadalajara, Mexico, 26–30 September 2016
. IAC-16-C1,6,2,x33922.
Robbins H.M.
AIAA Journal
, 1966, vol. 4, no. 8, pp. 1417–1423.
Khokhulin V.S., Chumakov V.A.
Proektirovanie kosmicheskikh razgonnykh
blokov s ZhRD
[Designing upper stages with the liquid-propellant engine]. Mos-
cow, MAI Publ., 2000, 72 p.
Pravec P., Scheirich P., Durech J., et al.
Icarus
, 2014, vol. 233, pp. 48–60.
Ivashkin V.V.
Preprinty IPM im. M.V. Keldysha — Preprints of the Keldysh
Institute of Applied Mathematics
, 1998, no. 57, p. 32.
Duboshin G.N.
Nebesnaya mekhanika. Osnovnye zadachi i metody
[Celestial
mechanics. The main tasks and methods]. Moscow, Nauka Publ., 1975, 799 p.
Scheeres D.J., Marzari F., Tamazella L., Vanzani V.
Planetary and Space
Science
, 1998, no. 46, pp. 649–671.
Elyasberg P.E.
Vvedenie v teoriyu poleta iskusstvennykh sputnikov Zemli.
[Introduction to the flight theory of artificial Earth satellites]. Moscow, Nauka
Publ., 1965, 540 p.