Regularized luni-solar gravity dynamics on resident space objects

Sellamuthu, Harishkumar; Sharma, Ram Krishan

doi:10.1007/s42064-020-0085-6

Cited by 3 publications

(1 citation statement)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Woollands et al [55] developed a Lambert solver based on KS coordinates and used it to provide a good initial guess to the Picard-Chebyshev numerical integration of the perturbed two-body problem. Sellamuthu and Sharma analysed the J 2 , J 3 , J 4 terms of Earth's oblateness and the third body luni-solar perturbation when approximated with a Legendre polynomial expansion with KS coordinates [56][57][58]. Using the equation they obtained, they then implemented an orbital propagator and studied the effects of such perturbations on resident space objects with high perigee and highly eccentric orbits.…”

Section: Introductionmentioning

confidence: 99%

Kustaanheimo–Stiefel Variables for Planetary Protection Compliance Analysis

Masat

Romano

Colombo

2022

Journal of Guidance, Control, and Dynamics

View full text Add to dashboard Cite

Planetary protection in trajectory design aims to assess the impact probability of space mission disposed objects based on their initial uncertain conditions, to avoid contaminating other planetary environments. High precision dynamical models and propagation methods are required to reach high confidence levels on small estimated impact probabilities. These requirements have so far confined planetary protection analyses to robust Monte Carlo-based approaches, using the Cartesian formulation of the full force problem dynamics. This work presents the improvements brought by adopting the Kustaanheimo-Stiefel (KS) formulation of the dynamics. The KS formulation is combined with reference frame switch procedures and adaptive non-dimensionalization upon detection of close encounters. The fibration property of the KS space, namely the parametrizable locus of point arising when mapping to a higherdimensional space, is exploited to minimize the computational time, because of the minimized numerical stiffness of the system. Impact probability estimation tasks become more efficient than the single simulation case, since the regularization of the dynamics removes the singularity of gravitational potentials for distances approaching zero. Despite an almost halved computational burden for Monte-Carlo analysis, the precision of the single simulations is increased by nearly one order of magnitude, setting a new performance benchmark for planetary protection tasks.

show abstract