Accession Number:

ADA478833

Title:

Formation Flying through Geodesic Motion and the Different Geometrical Requirements

Descriptive Note:

Conference paper

Corporate Author:

ROMANIAN ACADEMY OF SCIENCES INSTITUTE FOR SPACE SCIENCES

Report Date:

2006-09-01

Pagination or Media Count:

13.0

Abstract:

We investigated the possibility of preserving a preset plane flying formation through geodesic free motion around an attractive center. After a series of approximations, we obtained a first order solution for this problem the small parameter of the approximation series is set by the characteristic length of the formation and by an eccentricity-like factor, which is related to the trajectory of the geometrical center of the formation. Such a solution consists in a collection of Keplerian solutions with the same period. The free movement of these bodies creates the impression of a united motion like in a rigid body motion, at least in the first order of approximation. The instantaneous plane described by the formation experience a precessional motion with respect to a fixed direction, in the same way we know from the kinematics of the LISA mission. We calculated the relative errors for a regular hexagonal formation, for different side lengths, for one period of time.

Subject Categories:

  • Spacecraft Trajectories and Reentry
  • Geodesy

Distribution Statement:

APPROVED FOR PUBLIC RELEASE