Gravity

Gravity in One-dimensional Space

This article considers gravity when space is one-dimensional. I believe that by expanding this to what happens when it becomes two-dimensional, and then three-dimensional, I will be able to arrive at the true essence of gravity.

2024.09.24

Physics

Elliptical Motion in the Theory of Relativity

This article derives an equation of motion equivalent to the Schwarzschild solution from the theory of analytical mechanics in a conical coordinate system.

2024.09.13

Physics

Two-body Problem

This article consider how the equations of motion for elliptical motion in classical mechanics, known as the two-body problem, can be formulated by rewriting the equations as if two masses were moving independently.

2024.09.03

Physics

Kepler Equation

The orbits of planets and other objects moving around stars are elliptical, but the angular velocity is not constant. We consider a method of finding a solution to an algebraic equation called the Kepler equation by using Bessel functions.

2024.08.11

AnalysisPhysics

Elliptical Motion in Classical Mechanics

This article consider elliptical motion in three-dimensional space. Typically, it would be the motion of a planet orbiting a large star such as the Sun.

2024.08.06

Physics

Free Fall in the Theory of Relativity

The falling motion caused only by gravity, ignoring the effects of air resistance and friction, is called free fall. Find the equation of motion for free fall in the theory of relativity.

2024.07.25

Physics