Tisserand-Leveraging Transfers

Campagnola, Stefano; Boutonnet, Arnaud; Schoenmaekers, J.; Grebow, Daniel J.; Petropoulos, Anastassios E.; Russell, Ryan P.

doi:10.2514/1.62369

Cited by 29 publications

(4 citation statements)

References 15 publications

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“…These points serve as target points for the trajectory design using techniques such as WSB transfers, lunar resonances and flybys. Note that for the Jupiter and Saturn systems where the mass ratio between the Moons and the planet is much lower, these target points follow much closer the level lines of the Jacobi integral than what was shown here in the Earth-Moon system Campagnola et al (2014).…”

Section: Frontiers In Space Technologiessupporting

confidence: 81%

“…This method was afterwards used for multi-body transfers by many authors, e.g., Campagnola and Russell (2010); de la Torre Sangrà et al (2021); Bellome et al (2020). More recently, an extended version of the Tisserand graph has been proposed to be used in combination with small manoeuvres for low-energy transfers Campagnola et al (2014) (so-called Tisserand-leveraging transfers) and the design of lowenergy endgames for Moon tours. Reference Yárnoz et al (2016); Ross and Scheeres (2007) discusses the use of such a Tisserand graph in the Earth-Moon system leveraging the Sun gravity.…”

Section: Introductionmentioning

confidence: 99%

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Double Tisserand graphs for low-energy lunar transfer design

Martens

Bucci

2022

Front. Space Technol.

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Tisserand graphs are a widespread tool for interplanetary trajectory and Moon tour design. They are based on the Jacobi constant being an integral of motion in the Circular Restricted Three Body Problem (CR3BP); as such, the classical Tisserand graph does not include the perturbation of bodies other than the flyby bodies. Low-energy transfers in the Earth-Moon system make use of the combined Earth, Moon, and Sun gravities, exploiting the third body perturbations to reach the Moon with a reduced transfer Δv. The paper, therefore, proposes a novel double Tisserand graph, where the level lines of both the Earth-Moon and the Sun-Earth CR3BPs are superimposed, portraying the complex 4-body dynamics into a single plot. Paths along such level lines correspond to trajectories utilizing the dynamical effect of the Moon or the Sun or a combination of both. We show how such a graph can be efficiently used for preliminary design of Weak Stability Boundary transfers, lunar resonance transfers, lunar flybys, weak lunar captures or any combination of them.

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Section: Frontiers In Space Technologiessupporting

confidence: 81%

Section: Introductionmentioning

confidence: 99%

Double Tisserand graphs for low-energy lunar transfer design

Martens

Bucci

2022

Front. Space Technol.

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“…There is significant flexibility in, for example, Triton flyby altitudes, which can be raised or lowered as necessary. Our preliminary analysis suggests that a Triton orbit phase could be included at a Delta-V cost of $300 m/s, using a transfer similar to that planned for JUICE (Campagnola et al, 2012). Close flybys at Neptunian moons other than Triton are also possible.…”

Section: Neptune Orbiter Mission Analysismentioning

confidence: 99%

Neptune and Triton: Essential pieces of the Solar System puzzle

Masters

Achilleos²,

Agnor³

et al. 2014

Planetary and Space Science

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“…Vaquero and Howell (2013) exploited dynamical systems theory, invariant manifolds and Poincare maps to design ballistic transfers between libration point and resonant trajectories in the Saturn-Titan system to target the moon Hyperion. Campagnola et al (2014) introduced the Tisserand-leveraging transfers to design low energy and applied them to ESA's JUICE mission to Ganymede. They also used low-thrust models within Tisserand-leveraging transfers to explain the lunar resonances of the Moon orbiter SMART-1.…”

Section: Introductionmentioning

confidence: 99%

Different perspectives on the b-plane: perturbation effects and use for resonant flyby design

Masat

Romano

Colombo

2022

Celest Mech Dyn Astr

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Orbital resonances can be leveraged in the mission design phase to target planets at different energy levels. On the other side, precise models are needed to predict possible threatening returns of natural and artificial objects closely approaching a target planet. To this aim, we propose a semi-analytic extension of the b-plane resonance model to account for perturbing effects inside the planet’s sphere of influence. We compute the actual values of the perturbing coefficients by means of precise numerical simulations, whereas their expression stems from the properties of hyperbolic trajectories and asymptotic planetocentric velocity vectors. We apply the proposed b-plane model to design ballistic resonant flybys by solving a multilevel mixed-integer nonlinear optimization problem.

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Tisserand-Leveraging Transfers

Cited by 29 publications

References 15 publications

Double Tisserand graphs for low-energy lunar transfer design

Double Tisserand graphs for low-energy lunar transfer design

Neptune and Triton: Essential pieces of the Solar System puzzle

Different perspectives on the b-plane: perturbation effects and use for resonant flyby design

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