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Encyclopedia > Capture orbit

A capture orbit is the high-energy parabolic orbit that allows the capture other than crashing directly to the central body's surface (or atmospheric re_entry).


Capture orbit is identical to escape orbit - just the direction is reverse. Both are also known as "C3 = 0 orbit".


For capture velocities see the table in escape velocity.


Position as function of time

Finding the position as function of time corresponds to solving a differential equation. In the theoretical case of falling on a central body in a straight trajectory there is a rather simple expression for the solution:

where

  • is the standard gravitational parameter
  • corresponds to the extrapolated time of the fictitious arrival at the center of the central body; either t is negative, or t is the time until this arrival, counting down.

To count down to impact at the surface, apply a time shift; for the Earth (and any other spherically symmetric body with the same average density) as central body this time shift is 6 minutes and 20 seconds; seven of these periods earlier the height above the surface is three times the radius, etc.


See also



  Results from FactBites:
 
Capture orbit - Wikipedia, the free encyclopedia (207 words)
A capture orbit is the high-energy parabolic orbit that allows the capture other than crashing directly to the central body's surface (or atmospheric re-entry).
Capture orbit is identical to escape orbit - just the direction is reverse.
For capture velocities see the table in escape velocity.
  More results at FactBites »

 
 

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