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	==== Implementation ====		==== Implementation ====

	The Spheroid object in the SIRIUS library implements the [~~MAT_GEO_EllipsoidInterface~~ Ellipsoid interface]. Please refer to the [{{JavaDoc4.0}}/fr/cnes/sirius/patrius/math/geometry/euclidean/threed/Spheroid.html Javadoc] for a complete list of public methods.		The Spheroid object in the SIRIUS library implements the [[User Manual 4.0 The Ellipsoid Interface\|Ellipsoid interface]]. Please refer to the [{{JavaDoc4.0}}/fr/cnes/sirius/patrius/math/geometry/euclidean/threed/Spheroid.html Javadoc] for a complete list of public methods.

	==== Instantiation ====		==== Instantiation ====

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==== Definition ====

A spheroid, or ellipsoid of revolution is a quadric surface obtained by rotating an ellipse about one of its principal axes; in other words, an ellipsoid with two equal equatorial radii. Assuming the XYZ coordinate system is such that the spheroid is centered and axis-aligned, the spheroids equation is given by:

<center><math>\mathcal{S} = \left\{ (x, y, z) \in \mathbb{R}^3 \middle/ {x^2 + y^2 \over a^2} + {z^2 \over b^2} = 1\right\}</math></center>

[[File:spheroid.PNG|center]]

The equatorial radius is called the transverse radius whereas the polar radius <math>b</math> is the conjugate radius.

==== Implementation ====

The Spheroid object in the SIRIUS library implements the [MAT_GEO_EllipsoidInterface Ellipsoid interface]. Please refer to the [{{JavaDoc4.0}}/fr/cnes/sirius/patrius/math/geometry/euclidean/threed/Spheroid.html Javadoc] for a complete list of public methods.

==== Instantiation ====

In order to instantiate a spheroid object, the user must specify the spheroids' center, it's axis of revolution and both semi-axis (the transverse radius <math>a</math> and the conjugate radius <math>b</math>). For example :

<syntaxhighlight lang="java">
// Spheroid parameters
Vector3D position = new Vector3D(1, 2, 3);
Vector3D revAxis = new Vector3D(0, 1, 1);
double a = 2.0;
double b = 1.0;
// The spheroid itself
Spheroid mySpheroid = new Spheroid(position, revAxis, a, b);
</syntaxhighlight>

==== Usage ====

Please refer to the [MAT_GEO_Home#HInteractions Interactions with other geometrical objects section] for methods inherited from the Shape interface.

User Manual 4.0 Spheroids - Historique des versions

Admin le 5 avril 2018 à 07:43

Admin : Page créée avec « ==== Definition ==== A spheroid, or ellipsoid of revolution is a quadric surface obtained by rotating an ellipse about one of its principal axes; in other words, an ellip... »

Admin : Page créée avec « ==== Definition ==== A spheroid, or ellipsoid of revolution is a quadric surface obtained by rotating an ellipse about one of its principal axes; in other words, an ellip... »