Path: Orbit/Interplanetary

% Spiral to a Hohmann Transfer to Apophis.
 Computes the Hohmann transfer delta v and the spiral delta v.

 The actual delta v for the Hohmann will be higher due to the 
 low thrust. The script simulates the outbound spiral plotting the
 results in earth fixed and heliocentric coordinates.

 The simulation also computes fuel consumption and will turn off the
 engine when it runs out of fuel.
 You start the spacecraft in GPS earth orbit. If there is no thrust, it
 will oscillate around the earth. The control system applies 
 thrust in the tangential direction.

 The time step must be small enough to be at least 10 times smaller than
 the shortest period in the simulation. If you start orbiting earth with
 a 90 minute period, the time step should be no longer than
 9 minutes. You will get better results with shorter time steps.

 Things to explore:

   1. With the engine off vary the DT and look at the earth-centered
      velocity. It should get smoother as DT decreases.
   2. Turn the engine on. Change the thrust to see how long it takes 
      for the spacecraft to escape the earth. 

 Since version 2014.1
  See also ApophisOrbit, LowThrustEscape, RHSHelioWithPlanets,
  SolarSysState, HelioFromPlanetInit, CEcl2Eq
   Copyright (c) 2014 Princeton Satellite Systems, Inc.
   All Rights Reserved


AC: ACData/ACTConstants
Orbit: Interplanetary/ApophisOrbit
Orbit: Interplanetary/HelioFromPlanetInit
Orbit: Interplanetary/SolarSysState
Orbit: OrbitManeuver/DVHoh
Orbit: OrbitManeuver/LowThrustEscape
Orbit: OrbitMechanics/APlanet
Orbit: RHSOrbit/RHSHelioWithPlanets
SC: BasicOrbit/CP2I
SC: BasicOrbit/E2M
SC: BasicOrbit/E2Nu
SC: BasicOrbit/M2E
SC: BasicOrbit/M2EApp
SC: BasicOrbit/M2EEl
SC: BasicOrbit/M2EHy
SC: BasicOrbit/M2Nu
SC: BasicOrbit/M2NuPb
SC: BasicOrbit/Nu2E
SC: BasicOrbit/Nu2M
SC: BasicOrbit/OrbRate
SC: BasicOrbit/Period
SC: BasicOrbit/RV2El
SC: BasicOrbit/RVFromKepler
SC: Ephem/CEcl2Eq
SC: Ephem/EOfE
SC: Ephem/EarthNut
SC: Ephem/EarthPre
SC: Ephem/EarthRot
SC: Ephem/EarthRte
SC: Ephem/GMSTime
SC: Ephem/MSidDay
SC: Ephem/NutDelta
SC: Ephem/ObOfE
SC: Ephem/Planets
SC: Ephem/SolarSys
SC: Ephem/TruEarth
SC: SCData/sCTConstants
SCPro: ProSensors/GPSSatellite
Common: CommonData/Constants
Common: CommonData/SwooshWatermark
Common: CommonData/xSplashSmall
Common: Database/Constant
Common: GUIs/TimeGUI
Common: General/CellToMat
Common: General/CloseIfHandle
Common: General/DeBlankLT
Common: General/DeleteCell
Common: General/MatToCell
Common: General/Watermark
Common: Graphics/Axis3D
Common: Graphics/Ellipsd
Common: Graphics/Map
Common: Graphics/NewFig
Common: Graphics/Plot2D
Common: Graphics/Plot3D
Common: Graphics/PltStyle
Common: Graphics/TextS
Common: Graphics/TimeLabl
Common: Graphics/TitleS
Common: Graphics/XLabelS
Common: Graphics/YLabelS
Common: Graphics/ZLabelS
Common: Time/DTSToDTA
Common: Time/Date2JD
Common: Time/JD2000
Common: Time/JD2T
Common: Time/JDToMidnight
Math: Integration/RK4
Math: Linear/Cross
Math: Linear/DupVect
Math: Linear/Mag
Math: Linear/Unit
Math: MathUtils/R2P5
Math: Trigonometry/CosD
Math: Trigonometry/SinD

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