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

International Colloquium and Workshop“Ganymede Lander: scientific goals and experiments”

Moscow, Russia, 4-8 March 2013

Keldysh Institute of Applied MathematicsRussian Academy of Sciences

CB-Classic Billiard

Duplex ShuttingCGB-Classic Gravitational Billiard

3D-gravity assist maneuver

Picture from: Barrabéz E., Gómez G., Rodríguez-Canabal J. Notes for the gravitational assistedtrajectories. // Advanced topics in astrodynamics. Summer course. Barcelona, July 2004.

ESA- JUICE MISSION

ESA- JUICE Mission Endgame

Ganymede Flyby-JOI-G&C-Flyby Sequence

Roscosmos part: Ganymede Landing

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

Roscosmos part: Ganymede Landing. Resonance beginning. Typical scenario

ESTK complex of Keldysh IAM RAS Ballistic CenterNavigation and Ancillary Information Facility (NAIF) - NASARefined Flyby Model

Moon Orbital period of SC after the satellite flyby rated to satellite’s orbital period

Number of rounds after a flyby

Ganymede 6 1Ganymede 5 2Ganymede 4 1Ganymede 3 1Ganymede 2.5 2Ganymede 2 1

Joining to Jovian System After Interplanetary Part

Time of Jovian sphere of action2029/06/03 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

2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34103

104

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L, RJ

f e, 1/(c

м2

c)

> 0.5 MэB

> 2

> 5

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101

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L, RJ

Дoз

a, p

aд/c

yтки

1 г/cм2

2.2

5

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

Quasi-Singularity of the Radiation Hazard

Typical radiation hazard analysis on the ENDGAME phase

Dynamics of the radiation accumulation

Typical radiation hazard analysis on the ENDGAME phase

Dynamics of the radiation accumulation- zoom scale

Dynamics of the radiation accumulation- on one orbit. Quasi-singularity

Period after flyby of GANYMEDE 42.9 daysDistance in pericenter rated to Jupiter’s radius 11.5Distance in apocenter rated to Jupiter’s radius 98.0

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

The V∞ Globe (from Russel, Strange et al. (2007))

Representsall possibleV∞vector tips after a fly-by

JUICE Tisserand-Poincare graph type

Pareto front of Tisserand Graph for the Roscosmos Laplace mission

Pareto front trees of Tisserand graphfor Russian Laplace mission

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

Fly-by sequence selection strategy Lambert problem solution; The phase-beams method; Delta V minimizations; Gravity-assist parameters permanent

corrections; Simulations results are presented.

Gravity-assist sequence. Effective Type T1

Low-radiation sequence type T2

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

Using PHASE BEAM method of Gravity Assists Sequences Determination

Virtual Trajectories Splitting After Swing-by

Applications for Another Kinds of Flybys

Callisto & Ganymede

Tour design problem lends itself well to optimization schemes

Callisto & Ganymede assists us to minimize fuel requirements