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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Rus. J. Nonlin. Dyn., 2025 Volume 21, Number 4, Pages 539–549 (Mi nd968)

In Memory of Alexey V. Borisov. On His 60th Birthday

On Keeping the Distance between Space Stations Tethered by a Handrail

A. V. Rodnikov

Moscow Aviation Institute (National Research University) Volokolamskoe sh. 4, Moscow, 125993 Russia

Abstract: Relative motion in a system consisting of two massive heliocentric space stations and a small mass spacecraft equipped with a solar sail is considered. The system is approximately 1 AU from the Sun. The spacecraft is capable of coasting along a tether (called a “handrail”) connecting the stations, and the sail is oriented orthogonally to the solar rays direction. The distance between the stations is assumed to be about a few kilometers. The stations are equipped with additional solar sails that help compensate the influence of the spacecraft motion on the relative location of the stations. The conditions providing such compensation are deduced. These conditions allow one to determine the area and orientation of additional solar sails so that the distance between the stations keeps invariable, and the segment connecting the stations remains orthogonal to the solar rays after the spacecraft relocation between the most remote points permitted by the handrail. The conditions are verified numerically by comparing the solutions of the equations of motion with and without taking into account additional sails.

Keywords: solar sail, space tether system, heliocentric space station, handrail constraint, method of small parameter

MSC: 34D20, 34H15, 70F05, 70F07, 70F15

Received: 02.06.2025
Accepted: 20.08.2025

Language: English

DOI: 10.20537/nd250901



© Steklov Math. Inst. of RAS, 2026