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## Perfil

Fecha de registro: 12 may 2022

###### Sobre... An oblate spheroid is an ellipsoid of revolution, that is, an ellipsoid whose section is an ellipse rather than a circle. An oblate spheroid rotates about its center at a fixed rate, so the section is always identical with respect to that fixed rate, regardless of the orientation of the oblate spheroid with respect to the Earth. This motion is illustrated in the figure to the right. In this illustration the fixed rate is 1 revolution per second, but the fixed rotation is about the fixed rate, so the distance from the fixed rotation axis to the center of the spheroid is variable. In an inertial coordinate system the spheroid's motion is seen to be at a fixed rate, so the distance from the fixed rotation axis to the spheroid is also variable. The inertial coordinate system is defined relative to the fixed rotation axis of the spheroid, and its orientation is fixed at any time with respect to the fixed rotation axis. In the inertial coordinate system a particle moving over the spheroid will oscillate about its mean position; this is the center of gravity of the particle, which is on the fixed rotation axis. The mean position of the particle is along the vertical axis of the spheroid, as shown in the figure to the right, and the particle's motion as viewed from the fixed rate rotation axis is a translation in the horizontal direction, in the same sense as the particle, with the center of mass of the particle coinciding with the center of the spheroid. Inertial Oscillation Model Performance: The program is highly dependent on the number of segments, and the number of them to use, is generally a user determined choice. The shape is not "closed" (i.e. there are segments at the poles), but a form is required to be defined. The amount of motion is set, and the distance of motion is set, so that the user can examine the motion with respect to the fixed rotation axis and with respect to the fixed rate axis. For an accurate simulation, the shape should be "closed", which means that there are no segments at the poles of the spheroid. The required number of segments depends on the size of the object being simulated, and the resolution required. Inertial Oscillation Model Limitations: At present there is no work around for the limitations. References: Numerical Recipes In C (