The collinear equilibrium points in the elliptic restricted synchronous three-body problem under an oblate primary and a dipole secondary. [PDF]
Singh J, Tyokyaa RK.
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Twist and non-twist regimes of the oblate planet problem
We consider the dynamics of a point-mass object, e.g. a small satellite, around a primary rigid body, e.g. a planet. We assume that the planet is oblate and axially symmetric with respect to the vertical axis. Revisiting a procedure described in [19], we make use of the first integrals (the energy and the projection of the angular momentum on the ...
Celletti A., Paita F., Pucacco G.
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Invariant properties of the spheroidal potential of an oblate planet
Gravitational potential of oblate planet, expressed in terms of oblate spheroidal coordinates, generalized by means of transformation of associated Cartesian ...
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A Return to the Sextant-Maritime Navigation Using Celestial Bodies and the Horizon. [PDF]
Critchley-Marrows JJR, Mortari D.
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Six-degree-of-freedom program to optimize simulated trajectories (6D POST). Volume 1: Formulation manual [PDF]
The basic equations and models used in a computer program (6D POST) to optimize simulated trajectories with six degrees of freedom were documented. The 6D POST program was conceived as a direct extension of the program POST, which dealt with point masses,
Brauer, G. L. +2 more
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Apsidal precession of orbits about an oblate planet
It is noted that expressions for the apsidal precession rates to second order on J2 appear in the literature in at least three apparently mutually contradictory forms. The expressions are reconciled by accounting for subtle differences in the definitions of orbital elements.
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Core Eigenmodes and their Impact on the Earth's Rotation. [PDF]
Triana SA +6 more
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Program to Optimize Simulated Trajectories (POST). Volume 1: Formulation manual [PDF]
A general purpose FORTRAN program for simulating and optimizing point mass trajectories (POST) of aerospace vehicles is described. The equations and the numerical techniques used in the program are documented. Topics discussed include: coordinate systems,
Brauer, G. L. +4 more
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Jupiter Science Enabled by ESA's Jupiter Icy Moons Explorer. [PDF]
Fletcher LN +49 more
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Geometric approximations for global atmospheres on moderately oblate planets
AbstractCertain geometric approximations, such as the widely used traditional shallow‐atmosphere, spherical‐geoid (TSA‐SG) and deep‐atmosphere, spherical‐geoid (DA‐SG) approximations, boil down to the specification of a spatial metric tensor. In order to eliminate the leading‐order errors due to the SG and TSA approximations, a sequence of four ...
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