English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

This paper deals with the impulsive formation control of spacecraft in thepresence of constraints on the position vector and time. Determining a set ofpath constraints can increase the safety and reliability in an impulsiverelative motion of spacecraft. Specially, the feasibility problem of theposition norm constraints is considered in this paper. Under assumptions, it isproved that if a position vector be reachable, then the reach time and thecorresponding time of impulses are unique. The trajectory boundedness of thespacecraft between adjacent impulses are analyzed using the Gerschgorin and theRayleighRitz theorems as well as a finite form of the Jensen's inequality. Someboundaries are introduced regarding the Jordan-Brouwer separation theorem whichare useful in checking the satisfaction of a constraint. Two numerical examples(approximate circular formation keeping and collision-free maneuver) are solvedin order to show the applications and visualize the results.

On the Impulsive Formation Control of Spacecraft Under Path Constraints