title: ÐÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¿ÐµÑÐµÐ»ÐµÑÐ° ÐÐµÐ¼Ð»Ñ-ÐÐµÑÐºÑÑÐ¸Ð¹ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð³ÑÐ°Ð²Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½ÑÑ Ð¼Ð°Ð½ÐµÐ²ÑÐ¾Ð²
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Designing the Earth-Mercury flight using gravitational maneuvers
Creators: name: ÐÑÑÐºÐ¾Ð²Ð°, ÐÐ»Ð¸Ð·Ð°Ð²ÐµÑÐ°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2021
Subjects: Ð³ÑÐ°Ð²Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½ÑÐ¹ Ð¼Ð°Ð½ÐµÐ²Ñ
ÐÐµÑÐºÑÑÐ¸Ð¹
Ð¼ÐµÐ¶Ð¿Ð»Ð°Ð½ÐµÑÐ½ÑÐ¹ Ð¿ÐµÑÐµÐ»ÐµÑ
ÐÐµÐ¼Ð»Ñ
Ð·Ð°Ð´Ð°ÑÐ° ÐÐ°Ð¼Ð±ÐµÑÑÐ°
gravitational maneuver
Mercury
interplanetary flight
Earth
Lambert's problem

description: Ð¦ÐµÐ»ÑÑ Ð´Ð°Ð½Ð½Ð¾Ð¹ Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ ÑÐ²Ð»ÑÐµÑÑÑ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ Ð¿ÐµÑÐµÐ»ÐµÑÐ° Ð¼ÐµÐ¶Ð´Ñ ÐÐµÐ¼Ð»ÐµÐ¹ Ð¸ ÐÐµÑÐºÑÑÐ¸ÐµÐ¼ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð³ÑÐ°Ð²Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½ÑÑ Ð¼Ð°Ð½ÐµÐ²ÑÐ¾Ð². Ð¡ÑÐ°ÑÑ Ð¿Ð¾Ð»ÐµÑÐ° Ð±ÑÐ´ÐµÑ Ð¾ÑÑÑÐµÑÑÐ²Ð»ÐµÐ½ 26 ÑÐµÐ½ÑÑÐ±ÑÑ 2021 Ð³Ð¾Ð´Ð°. ÐÑÐ°Ð²Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½ÑÐ¹ Ð¼Ð°Ð½ÐµÐ²Ñ Ð²Ð±Ð»Ð¸Ð·Ð¸ ÐÐµÐ½ÐµÑÑ ÑÐ¾ÑÑÐ¾Ð¸ÑÑÑ 10 Ð°Ð¿ÑÐµÐ»Ñ 2021 Ð³Ð¾Ð´Ð°. ÐÐ±ÑÐµÐµ Ð²ÑÐµÐ¼Ñ Ð¿Ð¾Ð»ÐµÑÐ° ÑÐ¾ÑÑÐ°Ð²Ð¸Ñ 9 Ð¼ÐµÑÑÑÐµÐ² Ð¸ 28 Ð´Ð½ÐµÐ¹. Ð ÑÐ¾Ð´Ðµ ÑÐ°Ð±Ð¾ÑÑ, Ð±Ð»Ð°Ð³Ð¾Ð´Ð°ÑÑ Ð·Ð°Ð´Ð°ÑÐµ Ð´Ð²ÑÑ ÑÐµÐ» Ð¸ Ð·Ð°Ð´Ð°ÑÐµ ÐÐ°Ð¼Ð±ÐµÑÑÐ°, Ð±ÑÐ»Ð¸ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ñ Ð²ÑÐµ Ð½ÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼ÑÐµ ÑÐ°ÑÑÐµÑÑ Ð´Ð»Ñ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ ÑÑÐ°ÐµÐºÑÐ¾ÑÐ¸Ð¸. Ð¯Ð·ÑÐº Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ, ÐºÐ¾ÑÐ¾ÑÑÐ¹ Ð±ÑÐ» Ð²ÑÐ±ÑÐ°Ð½ Ð´Ð»Ñ ÑÐ°ÑÑÐµÑÐ° Ð¸ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ, Python. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ñ ÑÑÐ¾Ð¹ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ñ Ð±ÑÐ»Ð° Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð° ÑÑÐ°ÐµÐºÑÐ¾ÑÐ¸Ñ, Ð½Ð° ÐºÐ°Ð¶Ð´Ð¾Ð¼ ÑÑÐ°Ð¿Ðµ ÐºÐ¾ÑÐ¾ÑÐ¾Ð¹ Ð±ÑÐ» ÑÐ¾Ð²ÐµÑÑÐµÐ½ Ð³ÑÐ°Ð²Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½ÑÐ¹ Ð¼Ð°Ð½ÐµÐ²Ñ. ÐÐ¾Ð»ÐµÑ Ðº ÐÐµÑÐºÑÑÐ¸Ñ Ð´Ð°ÐµÑ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÑ ÑÐ¾Ð±Ð¸ÑÐ°ÑÑ ÑÐµÐ½Ð½ÑÑ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ñ, Ð¿Ð¾Ð»ÑÑÐµÐ½Ð¸Ðµ ÐºÐ¾ÑÐ¾ÑÐ¾Ð¹ Ð¼Ð¾Ð¶ÐµÑ Ð±ÑÑÑ Ð½ÐµÐ²Ð¾Ð·Ð¼Ð¾Ð¶Ð½ÑÐ¼ Ð±ÐµÐ· ÑÐ±Ð»Ð¸Ð¶ÐµÐ½Ð¸Ñ Ñ Ð¸ÑÑÐ»ÐµÐ´ÑÐµÐ¼ÑÐ¼ Ð¾Ð±ÑÐµÐºÑÐ¾Ð¼. ÐÐ°Ð½Ð½Ð°Ñ ÑÐµÐ¼Ð° Ð¾ÑÐµÐ½Ñ Ð°ÐºÑÑÐ°Ð»ÑÐ½Ð° Ð² Ð½Ð°ÑÐµ Ð²ÑÐµÐ¼Ñ, Ð²ÐµÐ´Ñ Ð±Ð»Ð°Ð³Ð¾Ð´Ð°ÑÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÐºÐ¾ÑÐ¼Ð¾ÑÐ°, Ð² ÑÐ°ÑÑÐ½Ð¾ÑÑÐ¸ ÐÐµÑÐºÑÑÐ¸Ñ, Ð¼Ð¾Ð¶Ð½Ð¾ Ð½Ð°Ð¹ÑÐ¸ Ð´Ð¾Ð¿Ð¾Ð»Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐµ Ð¿Ð¾Ð»ÐµÐ·Ð½ÑÐµ Ð¸ÑÐºÐ¾Ð¿Ð°ÐµÐ¼ÑÐµ, Ð° Ð¼Ð¾Ð¶ÐµÑ Ð´Ð°Ð¶Ðµ Ð¸ Ð²Ð¾Ð´Ñ. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ñ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ»Ð¾ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð¾ Ð²ÑÐµÐ¼Ñ Ð¿Ð¾Ð»ÐµÑÐ°, Ð° ÑÐ°ÐºÐ¶Ðµ Ð±ÑÐ»Ð° Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð° ÑÑÐ°ÐµÐºÑÐ¾ÑÐ¸Ñ. ÐÑÐ»Ð¸ Ð¸Ð·ÑÑÐµÐ½Ñ Ð½ÐµÐºÐ¾ÑÐ¾ÑÑÐµ Ð±Ð¸Ð±Ð»Ð¸Ð¾ÑÐµÐºÐ¸ Python. ÐÐ°Ð¿ÑÐ¸Ð¼ÐµÑ, pykep.
description: The purpose of this final qualifying work is to construct a flight between Earth and Mercury using gravity assist maneuvers. The flight will start on September 26, 2021. A gravitational maneuver near Venus will take place on April 10, 2021. The total flight time will be 9 months and 28 days. In the course of work, thanks to the two-body problem and the Lambert problem, all the necessary calculations were performed to construct the trajectory. The programming language that was chosen for the calculation and construction is Python. As a result of the implementation of this program, a trajectory was built, at each stage of which a gravity assist was performed. The flight to Mercury makes it possible to collect valuable information, the receipt of which may be impossible without rapprochement with the object under study. This topic is very relevant in our time, because thanks to the exploration of space, in particular Mercury, you can find additional minerals, and maybe even water. As a result of the work, the flight time was obtained, and the trajectory was also built. Several Python libraries have been explored. For example, pykep.