Aerodynamic deceleration at velocities near the escape velocity

Bartoň, Stanislav

  • Programs and Algorithms of Numerical Mathematics, page 7-15

Abstract

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This article presents basic procedures for calculating the trajectory of a spaceship that uses only the Earth’s atmosphere to reduce its speed, allowing it to land on the Earth’s surface successfully. The first flight of the ARTEMIS program, which took place from November 16 to December 11 2022, was used as a template for the calculations. All calculations are performed in the symbolic algebra program Maple. To simplify the calculations, forces that have a less significant impact on the shape of the trajectory, such as the gravitational influence of the Sun and Moon, the rotation of the Earth, and its non-spherical shape, were neglected. To conserve space, only the essential components of the solution are shown, given the intensive calculations involved. The commands used to produce the graphics are not included.

How to cite

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Bartoň, Stanislav. "Aerodynamic deceleration at velocities near the escape velocity." Programs and Algorithms of Numerical Mathematics. 2025. 7-15. <http://eudml.org/doc/299956>.

@inProceedings{Bartoň2025,
abstract = {This article presents basic procedures for calculating the trajectory of a spaceship that uses only the Earth’s atmosphere to reduce its speed, allowing it to land on the Earth’s surface successfully. The first flight of the ARTEMIS program, which took place from November 16 to December 11 2022, was used as a template for the calculations. All calculations are performed in the symbolic algebra program Maple. To simplify the calculations, forces that have a less significant impact on the shape of the trajectory, such as the gravitational influence of the Sun and Moon, the rotation of the Earth, and its non-spherical shape, were neglected. To conserve space, only the essential components of the solution are shown, given the intensive calculations involved. The commands used to produce the graphics are not included.},
author = {Bartoň, Stanislav},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {Newton's equations of motion; aerodynamic drag; atmospheric density; gravitational field; iteration method; Maple},
pages = {7-15},
title = {Aerodynamic deceleration at velocities near the escape velocity},
url = {http://eudml.org/doc/299956},
year = {2025},
}

TY - CLSWK
AU - Bartoň, Stanislav
TI - Aerodynamic deceleration at velocities near the escape velocity
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2025
SP - 7
EP - 15
AB - This article presents basic procedures for calculating the trajectory of a spaceship that uses only the Earth’s atmosphere to reduce its speed, allowing it to land on the Earth’s surface successfully. The first flight of the ARTEMIS program, which took place from November 16 to December 11 2022, was used as a template for the calculations. All calculations are performed in the symbolic algebra program Maple. To simplify the calculations, forces that have a less significant impact on the shape of the trajectory, such as the gravitational influence of the Sun and Moon, the rotation of the Earth, and its non-spherical shape, were neglected. To conserve space, only the essential components of the solution are shown, given the intensive calculations involved. The commands used to produce the graphics are not included.
KW - Newton's equations of motion; aerodynamic drag; atmospheric density; gravitational field; iteration method; Maple
UR - http://eudml.org/doc/299956
ER -

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