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Levin, E. M.

Publications and source records attributed to Levin, E. M..

Dynamics Simulation Model for Space Tethers

This document describes the development of an accurate model for the dynamics of the Momentum Exchange Electrodynamic Reboost (MXER) system. The MXER is a rotating tether about 100-km long in elliptical Earth orbit designed to catch payloads in low Earth orbit and throw them to geosynchronous orbit or to Earth escape. To ensure successful rendezvous between the MXER tip catcher and a payload, a high-fidelity model of the system dynamics is required. The model developed here quantifies the major environmental perturbations, and can predict the MXER tip position to within meters over one orbit.

Levin, E. M.

MXER Simulation Study (Appendix A)

In this study, we consider the dynamics of a spinning tether system in an elliptical orbit in application to the Momentum Exchange Electrodynamic Reboost system. Momentum exchange tether systems have been studied in a variety of applications since Hans Moravec's early publication. It has recently been suggested that momentum exchange systems can be enhanced with electrodynamic reboost between payload transfers. The Momentum Exchange Electrodynamic Reboost system (MXER) has a projected tether span of up to 100 km, and spins rapidly with a period of 6-7 min. It is placed in an orbit with a low perigee of about 400 km and a high apogee of about 8000 km. To capture a payload at a perigee rendezvous, within a window of a few seconds, the motion of the system has to be predicted with very high precision, having acceptable position errors on the order of 1 m. While this level of precision is routinely achieved today for conventional (non-tethered) satellites, it is much more difficult to achieve for a 100 km long flexible tether system. It is the goal of this study to investigate theoretical aspects of the dynamics and offer a practical approach to high precision dynamic modeling of a typical momentum exchange tether system.

Levin, E. M.

MXER Simulation Study (Appendix B)

The task of prediction of the motion of a momentum exchange system with a 9-digit accuracy is extremely challenging, and it is relentlessly testing our ability to gain fundamental insights into the nature of the tether dynamics in this system. It has been show that the modal decomposition approach developed in the first part of this study is a very powerful and precise tool for the simulation of the dynamics of momentum exchange tethers. However, to get a prediction with required accuracy using this tool, one must have precise inputs, including the initial state, system parameters, and the environmental models. In simulations, the tether tip positioning has been observed to be quite sensitive to even small variations of the parameters involved in the calculations. It is therefore imperative that precise estimation and control algorithms be developed to compensate for the inevitable uncertainties and support high precision rendezvous.

Levin, E. M.