On planetary motion

Hauser, Walter

doi:10.1119/1.14362

Cited by 4 publications

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“…We start with the overview of two body problem in Newtonian mechanics. Although there are alternative and simpler ways to solve this problem [16,17], we will follow the usual textbook approach [18,19]. The Lagrangian of the system reads…”

Section: General Overviewmentioning

confidence: 99%

Newtonian–Machian analysis of the neo-Tychonian model of planetary motions

Popov¹

2013

Eur. J. Phys.

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The calculation of the trajectories in the Sun-Earth-Mars system will be performed in two different models, both in the framework of Newtonian mechanics. First model is well-known Copernican system, which assumes the Sun is at rest and all the planets orbit around it. Second one is less-known model developed by Tycho Brahe (1546-1601), according to which the Earth stands still, the Sun orbits around the Earth, and other planets orbit around the Sun. The term "Neo-tychonian system" refers to the assumption that orbits of distant masses around the Earth are synchronized with the Sun's orbit. It is the aim of this paper to show the kinematical and dynamical equivalence of these systems, under the assumption of Mach's principle.

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Section: General Overviewmentioning

confidence: 99%

Newtonian–Machian analysis of the neo-Tychonian model of planetary motions

Popov¹

2013

Eur. J. Phys.

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Simultaneous estimation of optical flow and heat transport in infrared image sequences

Haußecker

Proceedings IEEE Workshop on Computer Vision Beyond the Visible Spectrum: Methods and Applications (Cat. No.PR00640)

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This paper incorporates physical models of heat transport into motion analysis in infrared image sequences.Physical transport processes, such as heat diffusion and decay, are causing time dependent brightness variations, violating the common brightness constancy assumption. Previous approaches to optical flow computation have accommodated violations of brightness constancy with the use of robust statistics or with generalized brightness constancy constraints that allow generic types of contrast and illumination changes. Here, we consider realistic models of brightness variation that have time-dependent physical causes. We simultaneously estimate the optical flow and the relevant physical parameters, such as the heat diffusion and decay constants. The estimation problem is formulated for a wide class of physical models using total least squares (TLS), with confidence bounds on the parameters.

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Computing optical flow with physical models of brightness variation

Haußecker

Fleet

Proceedings IEEE Conference on Computer Vision and Pattern Recognition. CVPR 2000 (Cat. No.PR00662)

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On planetary motion

Cited by 4 publications

References 0 publications

Newtonian–Machian analysis of the neo-Tychonian model of planetary motions

Newtonian–Machian analysis of the neo-Tychonian model of planetary motions

Simultaneous estimation of optical flow and heat transport in infrared image sequences

Computing optical flow with physical models of brightness variation

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