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jamesamiller / SupernovaRescue.tex
Created July 6, 2020 17:41
Spacetime diagram of a rescue mission to a planet (special relativity)
\documentclass[crop=true, border=10pt]{standalone}
\usepackage{comment}
\begin{comment}
:Title: Supernova Rescue
:Author: J A Miller, UAH Physics & Astronomy, millerja@uah.edu
2020/07/01
A starship rescue for a planet about to be hit by supernovae gamma rays
References:
@jamesamiller
jamesamiller / KlingonEnterprise-II.tex
Last active July 2, 2020 02:31
Spacetime diagram for a Klingon-Enterprise battle. The second variation. (special relativity)
\documentclass[crop=true, border=10pt]{standalone}
\usepackage{comment}
\begin{comment}
:Title: Klingons and Enterprise II
:Author: J A Miller, UAH Physics & Astronomy, millerja@uah.edu
2020/07/01
Spacetime diagram of an Enterprise - Klingon battle. The second of a few variations.
References:
@jamesamiller
jamesamiller / KlingonEnterprise-I.tex
Last active March 19, 2021 20:28
Spacetime diagram for Klingon and Enterprise battle (special relativity). First variation.
\documentclass[crop=true, border=10pt]{standalone}
\usepackage{comment}
\begin{comment}
:Title: Klingons and Federation I
:Author: J A Miller, UAH Physics & Astronomy, millerja@uah.edu
2020/07/01
Spacetime diagram of an attack on the Enterprise by the Klingons. The first of a few variations.
References:
@jamesamiller
jamesamiller / TortoiseHareRace-II.tex
Last active July 1, 2020 16:20
Spacetime diagram of a relativistic tortoise and hare race
\documentclass[crop=true, border=10pt]{standalone}
\usepackage{comment}
\begin{comment}
:Title: Tortoise and Hare - Variation 2
:Author: J A Miller, UAH Physics & Astronomy, millerja@uah.edu
2020/06/29
A race between a tortoise and hare.
References:
@jamesamiller
jamesamiller / StarshipPursuit.tex
Created June 29, 2020 19:29
An accelerating object in the frame of another accelerating object (special relativity)
\documentclass[crop=true, border=10pt]{standalone}
\usepackage{comment}
\begin{comment}
:Title: Intercepting an accelerating starship
:Slug: Accelerating starship
:Tags: special relativity
:Author: J A Miller, UAH Physics & Astronomy, millerja@uah.edu, 2020/06/29
Worldline of an accelerating ship in the frame ($\xi$ - $\eta$) of another accelerating ship.
@jamesamiller
jamesamiller / RindlerAccelFrame.tex
Created June 18, 2020 19:08
Worldlines of Rindler observers in a particular Rindler reference frame (special relativity)
\documentclass[crop=true, border=10pt]{standalone}
\usepackage{comment}
\begin{comment}
:Title: Rindler observers in a reference accelerated frame
:Slug: Rindler observers
:Tags: special relativity
:Author: J A Miller, UAH Physics & Astronomy, millerja@uah.edu, 2020/06/10
Worldlines of 9 accelerated observers in the accelerated coordinates $\xi$ and $\eta$ of a reference observer with proper acceleration of unity (in some inverse time units). These observers are called Rindler observers.
@jamesamiller
jamesamiller / LorentzContractionOfAccelRocket.tex
Last active June 5, 2020 20:28
Illustrates Lorentz contraction of an accelerating rocket. (special relativity)
\documentclass[crop=true, border=10pt]{standalone}
\usepackage{comment}
\begin{comment}
:Title: Lorentz contraction of an accelerated rocket
:Slug: Lorentz contraction
:Tags: special relativity
:Author: J A Miller, UAH Physics & Astronomy, millerja@uah.edu, 2020/05/28
Illustration of length contraction during acceleration.
@jamesamiller
jamesamiller / RocketConstantAcceleration.tex
Created May 21, 2020 19:59
A rocket with constant proper acceleration along its length. It could also represent three separate rockets with the same acceleration.
\documentclass[crop=true, border=10pt]{standalone}
\usepackage{comment}
\begin{comment}
:Title: Motion of a rocket with constant acceleration along its length
:Slug: Rocket motion
:Tags: special relativity
:Author: J A Miller, UAH Physics & Astronomy, millerja@uah.edu, 2020/05/21
Worldlines for parts of a rocket (or three separate rockets), each with the same proper acceleration.
We see that the middle and left parts of the rocket partially lie in the event horizon of the right
@jamesamiller
jamesamiller / StarWorldlinesInInertialFrame.tex
Last active May 20, 2020 16:46
The worldlines of stars and a rocket in the inertial star frame (special relativity)
\documentclass[crop=true, border=10pt]{standalone}
\usepackage{comment}
\begin{comment}
:Title: Motion of stars in the accelerated rocket frame
:Slug: Rocket frame
:Tags: special relativity
:Author: J A Miller, UAH Physics & Astronomy, millerja@uah.edu, 2020/05/12
Worldlines of stars and a rocket in the inertial $x$-$t$ frame, with light rays from one of
the stars to the rocket worldline.
@jamesamiller
jamesamiller / RocketWorldlinesInAccelFrame.tex
Last active May 27, 2020 17:11
Plots the worldline of a "test rocket" in the accelerated reference frame of an "observer rocket" (special relativity)
\documentclass[crop=true, border=10pt]{standalone}
\usepackage{comment}
\begin{comment}
:Title: Motion of another rocket in an accelerated rocket frame
:Slug: Accelerated frame
:Tags: special relativity
:Author: J A Miller, UAH Physics & Astronomy, millerja@uah.edu, 2020/05/18
Worldlines of a test rocket in the accelerated coordinates $\xi$ and $\eta$ of an observer rocket. This illustrates that a constant proper distance requires different accelerations.