Relative equilibria of a moon - tethered spacecraft. AAS 10-272статья
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Дата последнего поиска статьи во внешних источниках: 5 июня 2019 г.
Аннотация:We study relative equilibria of a Moon-tethered space station taking into account
the station dimensions. The tether is supposed to be inextensible and have negligible
weight. The equations of motion are deduced in the framework of the restricted circular
three-body problem. We write down the expression for the augmented potential
with the restriction that reflects the inextensibility of the tether.
The critical points of the Routh function correspond to the relative equilibria
of the system. We indicate some particular solutions that can be used as nominal
motions for the space station functioning. Stability is analyzed examining the restriction
of the Routh function’s second variation onto the linear manifold defined
by the link equation. The sufficient conditions of stability are studied numerically.