scholarly journals Gravity assists near Venus for reaching positions over ecliptic. Resonant asymptotic velocity

2018 ◽  
pp. 1-20
Author(s):  
Yury Filippovich Golubev ◽  
Alexey Vasilyevich Grushevskii ◽  
Victor Vladimirovich Korianov ◽  
Andrey Georgievich Tuchin ◽  
Denis Andreevich Tuchin
Keyword(s):  
Asymptotic Velocity ◽  
Gravity Assists

scholarly journals Synthesizing spacecraft orbits with high inclinations using Venusian gravity assists

2019 ◽  
Vol 484 (3) ◽  
pp. 281-284
Author(s):  
Yu. F. Golubev ◽  
A. V. Grushevskii ◽  
V. V. Koryanov ◽  
A. G. Tuchin ◽  
D. A. Tuchin
Keyword(s):  
Geometric Constraint ◽  
Gravity Assist ◽  
Asymptotic Velocity ◽  
Dynamic Constraint ◽  
Spacecraft Orbit ◽  
Gravity Assist Maneuver ◽  
Spacecraft Orbits ◽  
Gravity Assists ◽  
Clear Method ◽  
Angle Of Rotation

An adaptive, semi‑analytical, and geometrically clear method for synthesis of sequences of Venusian gravity‑assist maneuvers setting the desired inclination of a spacecraft orbit is proposed. The geometric constraint on the maximum possible inclination of a spacecraft orbit, which depends on the asymptotic spacecraft velocity relative to Venus, and the dynamic constraint (arising when a gravity‑assist maneuver is performed) on the angle of rotation of the vector of asymptotic velocity relative to Venus are considered simultaneously.

scholarly journals Optimal spacecraft asymptotic velocity for the high inclined orbits formation using gravity assists in the planetary systems

2021 ◽  
Vol 1730 (1) ◽  
pp. 012061
Author(s):  
Alexey Grushevskii ◽  
Yury Golubev ◽  
Victor Koryanov ◽  
Andrey Tuchin ◽  
Denis Tuchin
Keyword(s):  
Planetary Systems ◽  
Asymptotic Velocity ◽  
Gravity Assists

scholarly journals Asymptotic velocity of relativistic E × B drift

AIP Advances ◽  
2021 ◽  
Vol 11 (3) ◽  
pp. 035303
Author(s):  
Tatsufumi Nakamura
Keyword(s):  
Asymptotic Velocity

Trajectory Design in the Sun-Earth-Moon System Using Lunar Gravity Assists

1998 ◽  
Vol 35 (2) ◽  
pp. 191-198 ◽  
Author(s):  
Roby S. Wilson ◽  
Kathleen C. Howell
Keyword(s):  
Trajectory Design ◽  
The Sun ◽  
Lunar Gravity ◽  
Moon System ◽  
Gravity Assists

Accessibility of Main-Belt Asteroids via Gravity Assists

2014 ◽  
Vol 37 (2) ◽  
pp. 623-632 ◽  
Author(s):  
Yang Chen ◽  
Hexi Baoyin ◽  
Junfeng Li
Keyword(s):  
Main Belt ◽  
Gravity Assists

Gravity assists maneuver in the problem of extension accessible landing areas on the Venus surface

2021 ◽  
Vol 30 (1) ◽  
pp. 103-109
Author(s):  
Natan A. Eismont ◽  
Vladislav A. Zubko ◽  
Andrey A. Belyaev ◽  
Ludmila V. Zasova ◽  
Dmitriy A. Gorinov ◽  
...  
Keyword(s):  
Gravitational Field ◽  
Entry Angle ◽  
Gravity Assist ◽  
Flight Duration ◽  
The Earth ◽  
Gravity Assists ◽  
Primary Basis ◽  
Venusian Surface ◽  
Research Show

Abstract This study discusses the usage of Venus gravity assist in order to choose and reaching any point on Venusian surface. The launch of a spacecraft to Venus during the launch windows of 2029 to 2031 is considered for this purpose. The constraints for the method are the re-entry angle and the maximum possible overload. The primary basis of the proposed strategy is to use the gravitational field of Venus to transfer the spacecraft to an orbit resonant to the Venusian one – with the aim of expanding accessible landing areas. Results of the current research show that this strategy provides an essential increase in accessible landing areas and, moreover, may provide an access to any point on the surface of Venus with a small increase in ∆V required for launch from the Earth and in the flight duration. The comparison with the landing without using gravity assist near planet is also given.

scholarly journals Asymptotic velocity for four celestial bodies

2018 ◽  
Vol 376 (2131) ◽  
pp. 20170426
Author(s):  
Andreas Knauf
Keyword(s):  
Celestial Mechanics ◽  
Integrable Systems ◽  
Energy Surface ◽  
Initial Conditions ◽  
Theme Issue ◽  
Asymptotic Velocity ◽  
Pair Potentials ◽  
Finite Dimensional ◽  
Celestial Bodies ◽  
Almost All

Asymptotic velocity is defined as the Cesàro limit of velocity. As such, its existence has been proved for bounded interaction potentials. This is known to be wrong in celestial mechanics with four or more bodies. Here, we show for a class of pair potentials including the homogeneous ones of degree − α for α ∈(0, 2), that asymptotic velocities exist for up to four bodies, dimension three or larger, for any energy and almost all initial conditions on the energy surface. This article is part of the theme issue ‘Finite dimensional integrable systems: new trends and methods’.

scholarly journals Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Giovanni Colombo ◽  
Paolo Gidoni ◽  
Emilio Vilches
Keyword(s):  
Periodic Solution ◽  
Asymptotic Stability ◽  
Periodic Solutions ◽  
Finite Time ◽  
Dry Friction ◽  
Average Velocity ◽  
Well Posedness ◽  
Asymptotic Velocity ◽  
Sweeping Processes

<p style='text-indent:20px;'>We study the asymptotic stability of periodic solutions for sweeping processes defined by a polyhedron with translationally moving faces. Previous results are improved by obtaining a stronger <inline-formula><tex-math id="M1">\begin{document}$ W^{1,2} $\end{document}</tex-math></inline-formula> convergence. Then we present an application to a model of crawling locomotion. Our stronger convergence allows us to prove the stabilization of the system to a running-periodic (or derivo-periodic, or relative-periodic) solution and the well-posedness of an average asymptotic velocity depending only on the gait adopted by the crawler. Finally, we discuss some examples of finite-time versus asymptotic-only convergence.</p>

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