Oblate Spheroid Class setting C

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Abhimanyu Choudhary
回答： Brian Neiswander 2015-8-14
Hello, I am trying to create an oblate spheroid object in matlab. I would like to specify certain parameters, more specifically, A,B,C of the ellipsoid. I can specify A,B directly using SemiminorAxis and SemimajorAxis, however, I am not sure how to set C.
Please tell me if there is any way I can specify this exactly.
Thank You

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回答（1 个）

Brian Neiswander
Brian Neiswander 2015-8-14
Given the general equation of an ellipsoid:
(x/A)^2 + (y/B)^2 + (z/C)^2 = 1
The spheroid is a special case of an ellipsoid where "A" is equal to "B":
(x+y)^2/A^2 + (z/C)^2 = 1
This means that the spheroid is symmetric about its polar axis. When defining an "oblateSpheroid" object in MATLAB, the properties:
  • "SemimajorAxis" defines "A" in the spheroid equation above
  • There is no "B" to define because it is equivalent to "A" by definition
  • "SemiminorAxis" defines "C" in the spheroid equation above
You can check the NASA SPICE Toolkit as it may provide some functionality for "triaxial" ellipsoids.
http://naif.jpl.nasa.gov/naif/index.html
See below for more reference on ellipsoids and spheroids.
http://math.wikia.com/wiki/Ellipsoid

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