Extended analytical formulae for the perturbed Keplerian motion under low-thrust acceleration and orbital perturbations

This paper presents a collection of analytical formulae that can be used in the long-term propagation of the motion of a spacecraft subject to low-thrust acceleration and orbital perturbations. The paper considers accelerations due to: a low-thrust profile following an inverse square law, gravity pe...

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Published in:Celestial mechanics and dynamical astronomy 2021-03, Vol.133 (3), Article 13
Main Authors: Di Carlo, Marilena, Graça Marto, Simão da, Vasile, Massimiliano
Format: Article
Language:English
Subjects:
Acceleration
Aerospace Technology and Astronautics
Astrophysics and Astroparticles
Classical Mechanics
Dynamical Systems and Ergodic Theory
Geophysics/Geodesy
Gravitational fields
Kepler laws
Mathematical analysis
Orbit perturbation
Orbital elements
Original Article
Physics
Physics and Astronomy
Solar orbits
Spacecraft
Thrust
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cited_by cdi_FETCH-LOGICAL-c363t-aeadeadd622701764cb9155f1e017ab843d60e20378c135c8e5475f3bc874fb83
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container_title Celestial mechanics and dynamical astronomy
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creator Di Carlo, Marilena
Graça Marto, Simão da
Vasile, Massimiliano
description This paper presents a collection of analytical formulae that can be used in the long-term propagation of the motion of a spacecraft subject to low-thrust acceleration and orbital perturbations. The paper considers accelerations due to: a low-thrust profile following an inverse square law, gravity perturbations due to the central body gravity field and the third-body gravitational perturbation. The analytical formulae are expressed in terms of non-singular equinoctial elements. The formulae for the third-body gravitational perturbation have been obtained starting from equations for the third-body potential already available in the literature. However, the final analytical formulae for the variation of the equinoctial orbital elements are a novel derivation. The results are validated, for different orbital regimes, using high-precision numerical orbit propagators.
doi_str_mv 10.1007/s10569-021-10007-x
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source Springer Nature
subjects Acceleration
Aerospace Technology and Astronautics
Astrophysics and Astroparticles
Classical Mechanics
Dynamical Systems and Ergodic Theory
Geophysics/Geodesy
Gravitational fields
Kepler laws
Mathematical analysis
Orbit perturbation
Orbital elements
Original Article
Physics
Physics and Astronomy
Solar orbits
Spacecraft
Thrust
title Extended analytical formulae for the perturbed Keplerian motion under low-thrust acceleration and orbital perturbations
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