DTU Compute, Matematik 1, MatTek1-holdet, 2013-2014


3 ugers projekt: Satellitparkering

Arthur C. Clarke

  • Arthur_C._Clarke (dansk)
  • Arthur_C._Clarke (engelsk)

    • Data

  • Jorden (data for jorden)
  • Solen (data for solen)

    • Gravitationskraft & potentiel energi

  • Newton's_law_of_universal_gravitation (gravitationskraften)
  • hyperphysics.phy-astr.gsu.edu/hbase/mechanics/sphshell.html (gravitationskraften fra en kugleskal)
  • www.neuberechnung-dunkle-materie.de/doc/Grav_Kugel_e.pdf (gravitationskraften fra en kugle)
  • Potential_energy#Gravitational_potential_energy (potentiel energi i gravitationsfeltet - se under "General formula")
  • Gravitational Potential Energy: hyperphysics.phy-astr.gsu.edu/%E2%80%8Chbase/gpot.html#gpt
  • Anvendelse af tangentielt kurveintegral (gravitation & potentiel energi): gravity.mw eller gravity.pdf
  • Satellite
  • Geostationary_orbit (NB: den geostationære bane er kun over ækvator!)
  • Planeter og satellitter: sat.pdf

    • The resticted three-body problem

  • Three-body_problem
  • Three-body problem: www.scholarpedia.org/article/Three_body_problem
  • The resticted three-body problem: www.astro.rug.nl/~vdkruit/jea3/homepage/three-body.pdf
  • The resticted three-body problem: ocw.mit.edu/courses/aeronautics-and-astronautics/16-07-dynamics-fall-2009/lecture-notes/MIT16_07F09_Lec18.pdf

    • Lagrange-punkterne

  • Google-søgning: Billeder af Lagrange-punkter
  • Lagrangian_point (L1,L2 og L3 er gennemgået med formler)
  • List_of_objects_at_Lagrangian_points
  • Hill_sphere
  • What are Lagrange points (ESA): www.esa.int/Our_Activities/Space_Science/What_are_Lagrange_points
  • The Lagrange points: www.physics.montana.edu/faculty/cornish/lagrange.pdf
  • The Lagrange Points (NASA): map.gsfc.nasa.gov/mission/observatory_l2.html
  • Lagrange Points of the Earth-Moon System: hyperphysics.phy-astr.gsu.edu/%E2%80%8Chbase/mechanics/lagpt.html

    • Pertubationsteori

  • Perturbation_theory
  • Perturbation_(astronomy)

    • Maplekommandoer & animationer

  • Flash-animation "My Solar System": phet.colorado.edu/en/simulation/my-solar-system

  • Om Maple-kommandoen plots[animate]: www.maplesoft.com/support/help/Maple/view.aspx?path=plots/animate
  • Om Maple-kommandoen plots[animatecurve]: www.maplesoft.com/support/help/Maple/view.aspx?path=plots/animatecurve

  • Om Maple-kommandoen dsolve(numeric,method=rkf45): www.maplesoft.com/support/help/Maple/view.aspx?path=dsolve/rkf45
  • Maple-kommandoen dsolve(numeric,method=rkf45) anvendt til numerisk løsning indenfor enzymkinetik: steen-toft.dk/mat/enzym/index.htm#enzym