Planet Radius Determination

Planet radius determination is the measurement or estimation of a planet’s physical size, a fundamental quantity for comparing planetary structure, composition, and evolution. For transiting exoplanets, the planet blocks a fraction of its host star’s light, and the transit depth approximates the squared radius ratio, (Rp/Rs)²; combining this ratio with the star’s known radius yields the planet’s radius. Other approaches use imaging, angular measurements, or spacecraft observations for planets within the Solar System. Radius estimates, especially when paired with mass, allow researchers to calculate density and distinguish broadly among rocky planets, gas-rich worlds, and intermediate compositions.

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JoVE Core - Mechanical Engineering

Radius of Gyration of an Area

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2025

The second moment of area, also known as the moment of inertia of area, is a crucial factor in understanding an object's resistance against bending deformation, or stiffness. To accurately estimate the second moment of area along any axis, one needs to concentrate all areas associated with that object into a thin strip, which should be placed parallel to that particular axis. As a result, the distance between this strip and the concerned axis can be determined by calculating its radius of...

Acceleration due to Gravity on Other Planets

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2023

The gravitational acceleration of an object near the Earth's surface is called the acceleration due to gravity. It can be measured by conducting simple experiments on Earth. However, such an experiment is impossible to conduct on the surface of other planets. Astronomical observations are thus used to measure the acceleration due to gravity on other planets. This can be determined by observing the effect of a planet's gravity on objects close to it. The crucial factor that helps in this...

Interval and Radius of Convergence

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2026

A power series is a mathematical representation of a function as an infinite sum of terms involving powers of a variable. Such series converge only for specific input values, making it essential to determine the range over which the series produces valid results. This leads to the concepts of radius and interval of convergence, which define where the series behaves meaningfully.The radius of convergence describes the distance from the center within which the power series converges. For a...

Schwarzschild Radius and Event Horizon

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2025

No object with a finite mass can travel faster than the speed of light in a vacuum. This fact has an interesting consequence in the domain of extremely high gravitational fields. The minimum speed required to launch a projectile from the surface of an object to which it is gravitationally bound so that it eventually escapes the object’s gravitational field is called the escape velocity. The escape velocity is independent of the mass of the object. Merging the idea of escape velocity with the...

Bones of the Upper Limb: Radius

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2023

The radius is longer of the two bones that make up the human antebrachium or forearm. At the proximal end, the radius articulates with the capitulum of the humerus and the radial notch of the ulna to form the elbow joint. At the distal end, the radius articulates with the ulna via the ulnar notch, forming the distal radioulnar joint. Distally, the radius also attaches to the carpal wrist bones (scaphoid and lunate) to form the radiocarpal joint. The radius has a nail-shaped head, and a short...

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