Question Description
Writeaspaceshipsimulationtoobservethe“TwinParadox.”Treateachtimestep using SpecialRelativity.Theshipshouldbecontrolledusingkeys,keepingtrackof Earth-timeandon-boardtime.
Additional features invited
• Crash detection
• Output of final times
• Force player to land again
Use python 2.7 will work.
Framework as follow:
from visual import *# The timestep length in Earth frame(might need to be adjusted)dt=0.01# The ratedtrate=100# The velocity changedv=0.05# The beta valuesbx=0.0by=0.0beta=0.0# Speed limitmaxbeta=0.9999# Drag (if desired)drag=0.9999;# Time on Earth and in the Shiptearth=0.0tship=0.0## ========================================================# ========================================================## Listen for keys# Modify this for interactions#def listenkeys(): global bx,by,beta,maxbeta,dv# Was a key pressed? if scene.kb.keys:# Yes, which one? s=scene.kb.getkey()# This is where you have to add all your keys# "x" exits if s=='x': exit()# Deal with the velocity keys to modify bx, by# ...# Enforce maximum speed# ...# Calculate beta## The routine that displays your values# Just for demodef displayvalues(): global beta,tearth,tship betalabel.text="Beta: %.4f" % beta earthtime.text="Earth: %.4f" % tearth shiptime.text="Ship: %.4f" % tship # Move the shipdef moveship(): global bx,by,dt,drag,beta# Move the ship# ...# Apply drag# ...# Recalculate beta after drag# ... # ========================================================# Main program# Setting up things# Make the Earthearth=sphere(pos=(0,0,0),radius=1.2,color=color.blue);# Make some stars to look cutesphere(pos=(5,2,0),radius=0.1,color=color.white);sphere(pos=(-5,3,0),radius=0.1,color=color.white);sphere(pos=(5,-5,0),radius=0.1,color=color.white);sphere(pos=(2,7,0),radius=0.1,color=color.white);sphere(pos=(3,2,0),radius=0.1,color=color.white);sphere(pos=(-3,-4,0),radius=0.1,color=color.white);# Make the shipship=sphere(pos=(1.2,0,0),radius=0.2,color=color.red);# Make the beta labelbetalabel=label(pos=(-6.5,6.5,0),text="",xoffset=1,line = 0)earthtime=label(pos=(-6.5,5.5,0),text="",xoffset=1,line = 0)shiptime=label(pos=(-6.5,4.5,0),text="",xoffset=1,line = 0)# Keep the scene from expandingscene.autoscale=False# Infinite loopwhile True: rate(dtrate) listenkeys() displayvalues() moveship()# Calculate time in Earth frame and Ship frame
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