Recent content by baxter

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    Discovering Liouville Integrability in Classical Mechanics

    Hi Let a classical particle with unit mass subjected to a radial potential V and moving in a plane. The Hamiltonian is written using polar coordinates (r,\phi) H(r,\phi) = \frac{1}{2}(\dot{r}^2+r^2\dot{\phi}^2) - V(r) I consider the angular momentum modulus C=r^2\dot{\phi}, and I...
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    How Does the Restricted Three Body Problem Define Motion Manifolds?

    Hi Let's consider the three body problem. The motion of all bodies is a manifold of dim 18. But I will consider that the mass of the third body is neglictible and I am interested in the motion of the third body (in the case, this is the restricted three body problem (non necessary planar nor...
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    Why does geopotential not take into account the rotation of the Earth?

    Thanks for your explanations, they are very useful ;)
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    How Does Resonance Affect Satellite Orbits?

    Hello I would like to understand the resonance phenomenon that can occurs when we deals with satellite's orbits. Here what it is said about it : KAULA - Theory of satellite geodesy - p. 49...
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    Why does geopotential not take into account the rotation of the Earth?

    Hi Geopotential U is the gravitational potential of the Earth without taking into account the rotation of the Earth whereas gravity's potential ##U_T## considers the rotation of the Earth such as : ##U_T = U + \frac{1}{2}\omega ^2r^2cos(\psi)^2## (with common spherical coordinates)...
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