Analytical Mechanics

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

Motion and Energy in the Theory of Relativity

Consider the hypothesis that the space-time of the theory of relativity is a conical coordinate system. We will summarize the discussion of what the equations of motion and conserved quantities are under this hypothesis, and show the problems.

2024.08.18

Physics

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

Uniform Circular Motion in the Theory of Relativity

This article explain the theory of uniform circular motion in classical mechanics and extend it to the case of the theory of relativity.

2024.07.29

Physics