Type of Document Dissertation Author Lee, Soung Sub Author's Email Address sslee@vt.edu URN etd-04062009-190200 Title Dynamics and Control of Satellite Relative Motion: Designs and Applications Degree PhD Department Aerospace and Ocean Engineering Advisory Committee

Advisor Name Title Hall, Christopher D. Committee Chair Hendricks, Scott L. Committee Member Sultan, Cornel Committee Member Woolsey, Craig A. Committee Member Keywords

- Satellite Control
- Satellite Constellation
- Satellite Relative Orbit
Date of Defense 2009-03-20 Availability unrestricted AbstractThis dissertation proposes analytic tools for dynamics and controlproblems in the perspective of large-scale relative motion without

perturbations. Specifically, we develop an exact and efficient

analytic solution of satellite relative motion using a direct

geometrical approach in spherical coordinates. The resulting

solution is then transformed into general parametric equations of

cycloids and trochoids. With this transformation, the dissertation

presents new findings for design rules and classifications of closed

and periodic parametric relative orbits. A new observation from the

findings states that the orbit shape resulting from the relative

motion dynamics of circular orbit cases in polar views are exactly

the same as the parametric curves of cycloids and trochoids. The

dynamics problem of satellite relative motion is expanded to include

the design of satellite constellations for multiple satellite

systems. A Parametric Constellation (PC) is developed to create an

identical constellation pattern, or repeating space track, of target

satellites with respect to a base satellite. In this PC theory, the

number of target satellites is distributed using a real number

system for node spacing. While using a base satellite orbit as the

rotating reference frame, the PC theory consists of satellite

phasing rules and closed form formulae for designing repeating space

tracks. The evaluation of the PC theory is illustrated through it's

comparison to the existing Flower Constellation theory in terms of

node spacing distribution and constellation design process. For the

control problems, the efficient analytic solution is applied to the

reference trajectory of satellite relative tracking control systems

for inter-satellite links. Two types of relative tracking control

systems are developed and each is evaluated to determine which is

more appropriate for practical applications of inter-satellite

links. All of the proposed analytic solutions and tools in this

dissertation will be useful for the mission analysis and design of

relative motions involving a two or more satellite system.

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