Nonlinear Analytical Uncertainty Propagation for Relative Motion near J2-Perturbed Elliptic Orbits

2018 ◽  
Vol 41 (4) ◽  
pp. 888-903 ◽  
Author(s):  
Zhen Yang ◽  
Ya-zhong Luo ◽  
Vaios Lappas ◽  
Antonios Tsourdos
Keyword(s):  
Relative Motion ◽  
Uncertainty Propagation ◽  
Analytical Uncertainty ◽  
Elliptic Orbits

Relative Motion of Particles in Coplanar Elliptic Orbits

1979 ◽  
Vol 2 (5) ◽  
pp. 443-446 ◽  
Author(s):  
Terry Berreen ◽  
George Svedt
Keyword(s):  
Relative Motion ◽  
Elliptic Orbits

Integrating an Analytical Uncertainty Quantification Approach to Multi-Scale Modeling of Nanocomposites

2019 ◽  
pp. 1-22
Author(s):  
Pinar Acar
Keyword(s):  
Uncertainty Quantification ◽  
Uncertainty Propagation ◽  
Epoxy Nanocomposites ◽  
Linear Solution ◽  
Analytical Uncertainty ◽  
Multi Scale ◽  
Scale Modeling ◽  
Macro Scale ◽  
Multi Scale Modeling ◽  
Scale Properties

Abstract The present study addresses the integration of an analytical uncertainty quantification approach to multi-scale modeling of single-walled carbon nanotube (SWNT)-epoxy nanocomposites. The main highlight is the investigation of the stochasticity of nanotube orientations, and its effects on the homogenized properties. Even though the properties of SWNT-epoxy nanocomposites are well-studied in the literature, the natural stochasticity that arises from the nanotube orientations has not been observed. To understand the effects of the variability in SWNT orientations to material properties of interest, an analytical uncertainty quantification algorithm is utilized. The analytical scheme computes the propagation of the orientational uncertainty to the volume-averaged properties with a linear solution and uses the transformation of random variables principle to obtain the variations in non-linear properties. The results indicate that the uncertainty propagation affects the macro-scale properties, including stiffness, thermal expansion, thermal conductivity, and natural frequencies.

scholarly journals Relative motion of two particles in elliptic orbits

AIAA Journal ◽  
1970 ◽  
Vol 8 (10) ◽  
pp. 1878-1879 ◽  
Author(s):  
E. R. LANCASTER
Keyword(s):  
Relative Motion ◽  
Elliptic Orbits

Lyapunov-Floquet control of satellite relative motion in elliptic orbits

2015 ◽  
Vol 51 (4) ◽  
pp. 2800-2810 ◽  
Author(s):  
Ryan E. Sherrill ◽  
Andrew J. Sinclair ◽  
S. C. Sinha ◽  
T. Alan Lovell
Keyword(s):  
Relative Motion ◽  
Elliptic Orbits ◽  
Satellite Relative Motion
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