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Article
Open AccessA Second-Order Closed-Form \(J_2\) Model for the Draper Semi-Analytical Satellite Theory
A second-order closed-form semi-analytical solution of the main problem of the artificial satellite theory ( \(J_2\) ...
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Article
HEOSAT: a mean elements orbit propagator program for highly elliptical orbits
The algorithms used in the construction of a semi-analytical propagator for the long-term propagation of highly elliptical orbits (HEO) are described. The software propagates mean elements and include the main...
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Chapter and Conference Paper
A Parametric Study of the Orbital Lifetime of Super GTO and SSTO Orbits Based on Semi-analytical Integration
A parametric study of the orbital lifetimes of objects in super-geostationary, and super-synchronous transfer orbits (Super GTO and SSTO, respectively) has been carried out based on a fast an efficient semi-an...
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Article
Delaunay variables approach to the elimination of the perigee in Artificial Satellite Theory
Analytical integration in Artificial Satellite Theory may benefit from different canonical simplification techniques, like the elimination of the parallax, the relegation of the nodes, or the elimination of th...
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Article
Deprit’s Elimination of the Parallax Revisited
An extension of Deprit’s elimination of the parallax is proposed. This extension takes advantage of the flexibility of the Lie-Deprit method, when the inverse of the Lie operator is applied in order to calcula...
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Article
On the third-body perturbations of high-altitude orbits
The long-term effects of a distant third-body on a massless satellite that is orbiting an oblate body are studied for a high order expansion of the third-body disturbing function. This high order may be requir...
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Article
PPKBZ9 \(\mathcal{A}, \mathcal{S}\mathcal{A}\) Two Orbit Propagators Based on an Analytical Theory
In the context of general perturbation theories, we analyze the motion of an artificial satellite around an Earth-like planet perturbed by the first eight zonal harmonic coefficients. By means of two Lie trans...
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Article
Deep Resonant GPS-Dynamics Due to the Geopotential
On time scales of interest for mission planning of GNSS satellites, the qualitative motion of the semimajor axis and the node evolves primarily from resonances with the Earth’s gravitational field. The relevan...
