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Dynamics of Atlas in Saturn's System: Recent Findings & Analysis

Explore a study on Atlas' dynamics in Saturn's system, with significant improvements in mass estimates and resonance dynamics with Prometheus. The study integrates astrometric data and numerical models, revealing chaotic episodes and 3-body system modeling.

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Dynamics of Atlas in Saturn's System: Recent Findings & Analysis

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  1. Recent Results on the Dynamics of Atlas Nick Cooper, Stefan Renner Carl Murray Encelade Meeting, UPMC, 22 January 2014

  2. Charnoz et al. (2010)

  3. Astrometric Data • 2580 Cassini ISS observations of Atlas, Prometheus, Pandora, Janus, Epimetheus • QM SATELLORB and F Ring Images • Data span Feb 2004 to Aug 2013 • Atlas observations mostly centroided • UCAC2 for pointing correction • Phase correction • SATELLORB astrometry by Mike Evans

  4. Numerical Model • Integration of full equations of motion in 3D • Perturbations from 8 major satellites, Sun, Jupiter • Saturn’s oblateness up to J6 • Runge-Kutta-Nystrom 12th order integrator • Variational equations integrated simultaneously, iteratively fitting to observations • Solving for states and masses of Atlas, Prometheus, Pandora, Janus and Epimetheus at epoch

  5. O-C Residuals Pre-fit (SAT353) Post-fit

  6. O-C Post-fit Residuals

  7. Mean longitudes vs. time Resonant arguments vs. time ILR CER

  8. Atlas Geometrical Elements Atlas, Prometheus, Saturn only Full Numerical Model

  9. FLI vs time 3-body Numerical Model (Atlas, Prometheus, Saturn) Full Numerical Model

  10. Coralin Surfaces of Section (Starting Conditions from Numerical Fit) ATLAS a_mean=137665.39 km

  11. Coralin Surfaces of Section (Starting Conditions from 3-body Model) ATLAS a_mean=137665.39 km

  12. Summary • Fit to new astrometry: significant reduction in O-C residuals. • Order of Magnitude improvement in mass estimates. • Atlas dynamics dominated 54:53 resonance with Prometheus. • Another example of coupled ILR/CER motion! • Regular and chaotic episodes (FLI analysis). • Chaos is due to Prometheus only. • Atlas, Prometheus dynamics can be modelled as a 3-body system (CORALIN).

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