Document Type

Article

Publication Date

2015

DOI

10.5139/ijass.2015.16.1.77

Publication Title

International Journal of Aeronautical and Space Sciences

Volume

16

Issue

1

Pages

77-88

Abstract

The dynamics of relative motion in a perturbed orbital environment are exploited based on Gauss' and Cowell's variational equations. The inertial coordinate frame and relative coordinate frame (Hill frame) are used, and a linear high fidelity model is developed to describe the relative motion. This model takes into account the primary gravitational and atmospheric drag perturbations. Then, this model is used in the design of a navigation, guidance, and control system of a chaser vehicle to approach towards and to depart from a target vehicle in proximity operations. Relative navigation uses an extended Kalman filter based on this relative model to estimate the relative position/velocity of the chaser vehicle with respect to the target vehicle. This filter uses the range and angle measurements of the target relative to the chaser from a simulated LIDAR system. The corresponding measurement models, process noise matrix, and other filter parameters are provided. Numerical simulations are performed to assess the precision of this model with respect to the full nonlinear model. The analyses include the navigation errors and trajectory dispersions.

Comments

This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Original Publication Citation

Okasha, M., & Newman, B. (2015). Modeling, dynamics and control of spacecraft relative motion in a perturbed Keplerian orbit. International Journal of Aeronautical and Space Sciences, 16(1), 77-88. doi:10.5139/ijass.2015.16.1.77

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