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Golubev Yu.F., Grushevskii A.V., Koryanov V.V., Tuchin A.G. golubev@keldysh.ru A Method of Orbits Designing Using Gravity Assist Maneuvers to the Landing on the Jovian’s Moons golubev@keldysh.ru International Colloquium and Workshop “Ganymede Lander: scientific goals and experiments” Moscow, Russia, 4-8 March 2013 Keldysh Institute of Applied Mathematics Russian Academy of Sciences

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CB-Classic Billiard Duplex Shutting CGB-Classic Gravitational Billiard

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3D-gravity assist maneuver Picture from: Barrabéz E., Gómez G., Rodríguez-Canabal J. Notes for the gravitational assisted trajectories. // Advanced topics in astrodynamics. Summer course. Barcelona, July 2004.

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ESA- JUICE MISSION

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ESA- JUICE Mission Endgame Ganymede Flyby- JOI- G&C-Flyby Sequence

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Roscosmos part: Ganymede Landing Flexible JOI Data Flexible G&C-Flyby Sequence GOI Ganymede Circular Orbit Landing

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Roscosmos part: Ganymede Landing. Resonance beginning. Typical scenario ESTK complex of Keldysh IAM RAS Ballistic Center Navigation and Ancillary Information Facility (NAIF) - NASA Refined Flyby Model MoonOrbital period of SC after the satellite flyby rated to satellite’s orbital period Number of rounds after a flyby Ganymede61 52 41 31 2.52.52 21

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Joining to Jovian System After Interplanetary Part Time of Jovian sphere of action 2029/06/03 09:25:10 UTC Flyby hyperbola ( J2000) Semimajor axe, km 5252.572592 Eccentricity 1.163115 Inclination 23.44 grad V-Infinity, km/s 4.91 Pericenter Time 2029/08/29 17:20:35 UTC Pericenter altitude 12.5 RJ

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RADIATION HAZARD PROBLEM (M. Podzolko e.a., SINP MSU Data)

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Quasi-Singularity of the Radiation Hazard

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Typical radiation hazard analysis on the ENDGAME phase Dynamics of the radiation accumulation

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Typical radiation hazard analysis on the ENDGAME phase Dynamics of the radiation accumulation- zoom scale

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Dynamics of the radiation accumulation- on one orbit. Quasi-singularity Period after flyby of GANYMEDE42.9 days Distance in pericenter rated to Jupiter’s radius11.5 Distance in apocenter rated to Jupiter’s radius98.098.0

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Tisserand-Poincare graph ( by N.Strange, J.Sims, Kevin W.Kloster, James M.Longuski e.a.)

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The V∞ Globe (from Russel, Strange et al. (2007)) Represents all possible V∞ vector tips after a fly-by

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JUICE Tisserand-Poincare graph type

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Pareto front of Tisserand Graph for the Roscosmos Laplace mission

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Pareto front trees of Tisserand graph for Russian Laplace mission

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Research basement Orbit correction algorithm preceding spacecraft’s Jovian moons gravity assists Gravity assists refined model ESTK KIAM RAS Ballistic centre complex Navigation and Ancillary Information Facility (NAIF) - NASA ephemeris — will be refined during JUICE by ESA

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Fly-by sequence selection strategy Lambert problem solution; The phase-beams method; Delta V minimizations; Gravity-assist parameters permanent corrections; Simulations results are presented.

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Gravity-assist sequence. Effective Type T1

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Low-radiation sequence type T2

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Type: Hyper-low-radiation, Expensive Delta V T3

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Using PHASE BEAM method of Gravity Assists Sequences Determination

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Virtual Trajectories Splitting After Swing-by

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Applications for Another Kinds of Flybys

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Callisto & Ganymede Tour design problem lends itself well to optimization schemes Callisto & Ganymede assists us to minimize fuel requirements

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Main characteristics: systematic global search algorithm of quasi-ballistic trajectories; Gravity assist (GA) and Aerogravity assist (AGA) manoeuvres;

Main characteristics: systematic global search algorithm of quasi-ballistic trajectories; Gravity assist (GA) and Aerogravity assist (AGA) manoeuvres;

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