A. S. Ledkov, D. V. Neryadovskaya, V. S. Aslanov, “Retrieval Control of a space Tether System Anchored at the <nobr>$L_1$</nobr> Mars – Phobos Libration Point”, Rus. J. Nonlin. Dyn., 2025, Volume 21, Number 4,Pages <nobr>551

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

Retrieval Control of a space Tether System Anchored at the $L_1$ Mars – Phobos Libration Point

A. S. Ledkov^a, D. V. Neryadovskaya^b, V. S. Aslanov^b

^a Samara National Research University, ul. Moskovskoye sh. 34, Samara, 443086 Russia
^b Moscow Aviation Institute (National Research University), ul. Volokolamskoe sh. 4, Moscow, 125993 Russia

Abstract: The proposed retrieval control combats the effect of a tether winding on the end body at the final stage of its retraction. The tether retraction rate control law providing stabilization of the tether system is developed. The stabilization angle is determined for the fastest tether retrieval. Unlike most works on the development of space tether retrieval control laws and schemes, this study considers the influence of the gravitational fields of the planet and its moon. Numerical simulation confirmed that the developed control ensures the tether retraction without a dramatic increase in the amplitude of its oscillation at the final stage.

Keywords: space tether system, retrieval, control, libration point

MSC: 70Q05

Received: 30.07.2025
Accepted: 12.09.2025

Language: English

DOI: 10.20537/nd251002