1. 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

2. CB-Classic Billiard Duplex Shutting CGB-Classic Gravitational Billiard

3. 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.

4. ESA- JUICE MISSION

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

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

7. 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

8. 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

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

10. Quasi-Singularity of the Radiation Hazard

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

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

13. 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

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

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

16. JUICE Tisserand-Poincare graph type

17. Pareto front of Tisserand Graph for the Roscosmos Laplace mission

18. Pareto front trees of Tisserand graph for Russian Laplace mission

19. 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

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

21. Gravity-assist sequence. Effective Type T1

22. Low-radiation sequence type T2

23. Type: Hyper-low-radiation, Expensive Delta V  T3

24. Using PHASE BEAM method of Gravity Assists Sequences Determination

25. Virtual Trajectories Splitting After Swing-by

26. Applications for Another Kinds of Flybys

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