Abstract
Mutual-relative motion of satellites constellation after their placing into initial orbit is characterized the satellites reiterated approaches to minimal distances. Determined separation conditions for each satellite pair in constellation, which realization leads to minimal satellites approaches. It was sustained, that distances between satellites can reach extreme minimal values due to minor angular deviations of orbit planes and always occurring flight altitudes long-period oscillations. Received analytical relations for estimation of angular deviations and distances between satellites orbit planes at the phases of periodical approaches. It was approved that in some vicinity of orbit numbers can occur following almost simultaneously: small differences of angular distances from the equator for any satellite pair in constellation; minimal angular deviations of satellites orbit planes (in general they have different precession after separation of different directions and with various velocities). Analytical relationships were numerically confirmed with using software for satellites movement prediction at the phases of their approaches to the minimum distances. The area of satellites separation parameters was built, with its implementation in a small vicinity of flight orbits the satellites approach to distances less than 100 m. The minimum distance in the specified area according to the single calculations is ~10 m.
Highlights
Issues concerning organization of uniform dispersal for constellation of small satellites after their separation and acceptable spread at stages of their further approaches are topical in the rocket building industry
As a result difficulties of ensuring organization of uniform dispersal for small satellites constellation occur during their first flight orbits after separation
The necessity of satellite approaches estimation during long time intervals occurs at the same time
Summary
The tendency of reducing weights and dimension of near space satellites, considerable rocket capabilities and new technologies allow ensuring injection of fair quantities of satellites by one launch. Physical movement foundations in the terrestrial gravitational field determine satellites periodical approaches Such issues occur two times per orbit in case satellites separation along the normal to orbital velocity and more rarely (up to several thousands of orbits) in case separation along flight direction As a result difficulties of ensuring organization of uniform dispersal for small satellites constellation occur during their first flight orbits after separation. 2) during their first flight orbits were determined and analytical relations for analysis satellites approaches during long time intervals were preliminary obtained. They were presented in articles [2, 5]. The conditions which correspond to satellites approaching on minimal distances for a long time intervals have not researched before
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