Rflores: Rflores moved page Draft Flores 990537912 to Sangra` Flores 2020a

2020-11-04T11:23:05Z

Rflores moved page Draft Flores 990537912 to Sangra` Flores 2020a

Rflores: Created page with " == Abstract ==
The Tisserand graph (TG) is a graphical tool commonly employed in the preliminary design of gravity-assisted trajectories...."

2020-11-04T11:23:04Z

Created page with " == Abstract == <div><span style="font-size: 12px;">The Tisserand graph (TG) is a graphical tool commonly employed in the preliminary design of gravity-assisted trajectories...."

New page

== Abstract ==

<div><span style="font-size: 12px;">The Tisserand graph (TG) is a graphical tool commonly employed in the preliminary design of gravity-assisted trajectories. The TG is a two-dimensional map showing essential orbital information regarding the Keplerian orbits resulting from the close passage by one or more  massive bodies, given the magnitude of the hyperbolic excess speed and the minimum allowed pericenter height for each passage. Contours of constant populate the TG. Intersections between contours allow to link consecutive flybys and build sequences of encounters en route to a selected destination.</span></div>

<div><span style="font-size: 12px;">When the number of perturbing bodies is large and many excess velocity levels are considered, the identification of all the possible sequences of encounters through visual inspection of the TG  becomes a laborious task.  Besides, if the sequences are used as input for a numerical code for trajectory design and optimization, an automated examination of the TG is desirable. </span></div>

<div><span style="font-size: 12px;">This contribution describes an automatic technique to explore the TG and find all the encounter paths. The technique is based on a tree search method, and the intersections between contours are computed using the regula-falsi scheme. </span></div>

<div><span style="font-size: 12px;">The method is validated through comparisons with solutions available in the open literature. Examples are given of application to interplanetary mission scenarios, including the coupling with a trajectory optimizer.</span></div>

== Full document ==
<pdf>Media:Draft_Flores_990537912-7982-document.pdf</pdf>

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Sangra` Flores 2020a - Revision history

Rflores: Rflores moved page Draft Flores 990537912 to Sangra` Flores 2020a

Rflores: Created page with " == Abstract == The Tisserand graph (TG) is a graphical tool commonly employed in the preliminary design of gravity-assisted trajectories...."

Rflores: Created page with " == Abstract ==
The Tisserand graph (TG) is a graphical tool commonly employed in the preliminary design of gravity-assisted trajectories...."