Equal Areas
Equal Areas - Related Videos
01:15
One-Way ANOVA: Equal Sample Sizes
0 Views •
2023
One-Way ANOVA can be performed on three or more samples with equal or unequal sample sizes. When one-way ANOVA is performed on two datasets with samples of equal sizes, it can be easily observed that the computed F statistic is highly sensitive to the sample mean. Different sample means can result in different values for the variance estimate: variance between samples. This is because the variance between samples is calculated as the product of the sample size and the variance between the...
01:30
Electric Field of Two Equal and Opposite Charges
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2023
Atoms generally contain the same number of positively and negatively charged particles, protons, and electrons. Hence, they are electrically neutral. However, the centers of the positive and negative charges do not always coincide. In such a scenario, the electric field of an atom may not be zero. A separation of the positive and negative charges can lead to a weak, remnant effect of the positive and negative charges. The expectation is that the more the distance between the positive and...
09:33
Demonstration of Equal-Intensity Beam Generation by Dielectric Metasurfaces
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Cited by 12 •
2019
A protocol for the fabrication and optical characterization of dielectric metasurfaces is presented. This method can be applied to the fabrication of not only beam splitters, but also of general dielectric metasurfaces, such as lenses, holograms, and optical cloaks.
05:21
The Effect of Ultraviolet Radiation on the Chemical Bath Deposition of Bis(thiourea) Cadmium Chloride Crystals and the Subsequent CdS Obtention
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Cited by 2 •
2018
This article presents a protocol for the synthesis of bis(thiourea) cadmium chloride crystals by chemical bath deposition. Two experiments are described: one aided by ultraviolet light compared to one without ultraviolet light.
09:25
Quantification of Cytosolic vs. Vacuolar Salmonella in Primary Macrophages by Differential Permeabilization
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Cited by 19 •
2015
We describe the quantification of cytosolic and vacuolar Salmonella typhimurium in bone-marrow derived macrophages using differential digitonin permeabilization.
FAQs
Angular momentum links the orbit's geometry to the body's changing speed. In a gravitational system governed by a central force, conservation of angular momentum requires the body to cover more orbital distance during an equal time interval when it is near the central body, and less distance when it is farther away. This preserves a constant swept-area rate.
Closer approach increases the speed needed to maintain the same swept area during each equal time interval. If the body moved at the same speed throughout its path, the areas traced near and far from the central body would not remain equal. The observed speed variation therefore reflects the connection between orbital position and conserved angular momentum.
The principle connects a body's changing orbital speed with a force directed toward the central body. This relationship is consistent with central-force motion because the body's position relative to that center determines how quickly it travels along the path. Equal-area behavior therefore provides evidence that gravitational orbits are controlled by a central influence rather than an unrelated directional force.
It shows that an elliptical orbit is not traversed at constant speed. The orbiting body changes speed as its distance from the central body changes, while the swept area over equal times remains unchanged. This gives a practical way to interpret why motion along an ellipse differs from motion along a circular path with uniform orbital speed.
Researchers can divide an observed orbit into successive equal time intervals, draw lines from the central body to the object's positions, and compare the areas of the resulting swept regions. Similar areas support the expected orbital relationship, while differences may indicate measurement limitations or motion that does not follow the assumed gravitational pattern.
The principle provides a common way to examine gravitational motion in both satellites and comets, even though these objects follow different kinds of paths and occupy different environments. Tracking their positions over time allows investigators to relate distance from the central body to changes in speed and evaluate whether their motion is consistent with central-force dynamics.