Parametric Approach for Satellite Relative Orbit Designs and Constellations

This paper proposes a dynamics solution that creates an identical constellation pattern of multiple satellites with the parameterization of relative motion dynamics. The parameterization illustrates that the complexity of relative motion dynamics is interpreted by a Ptolemaic model of an epicycle an...

Full description

Saved in:
Bibliographic Details
Published in:Journal of guidance, control, and dynamics control, and dynamics, 2021-03, Vol.44 (3), p.488-492
Main Authors: Lee, Soung Sub, Hall, Christopher D
Format: Article
Language:English
Subjects:
Axis movements
Complexity
Dynamics
Harmonic oscillators
Orbital mechanics
Orbits
Parameterization
Parametric statistics
Satellite constellations
Satellite tracking
Satellites
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper proposes a dynamics solution that creates an identical constellation pattern of multiple satellites with the parameterization of relative motion dynamics. The parameterization illustrates that the complexity of relative motion dynamics is interpreted by a Ptolemaic model of an epicycle and deferent system. All possible relative orbits can be represented by a hypo-epi curve or a deformed curve on the x-y plane and a simple z-axis harmonic oscillator motion. The designed relative orbits are used to create identical constellation patterns of multiple satellites, called parametric constellations in this study, by closed-form formulas and satellite phasing rules obtained from the geometrical relationship and periodic conditions. In conclusion, the resulting solution contributes to solving technical dynamics and tracking problems by simply designing complex relative motions in free space.
ISSN:1533-3884
0731-5090
1533-3884
DOI:10.2514/1.G005440