@inproceedings{oai:jaxa.repo.nii.ac.jp:00007450, author = {Janssens, Frank}, book = {第17回アストロダイナミクスシンポジウム講演後刷り集 2007, Proceedings of 17th Workshop on JAXA Astrodynamics and Flight Mechanics}, month = {Mar}, note = {Patched conics is the standard tool for designing fly-by or gravity assist maneuvers performed by a spacecraft about a planet. In this procedure, the trajectory of the spacecraft about the planet is taken as a perfect hyperbola once the spacecraft is in the sphere of influence of the planet. All other perturbations are neglected. As a consequence the outgoing V infinity is identical to the incoming V infinity. In reality, the spacecraft spends a finite time in the sphere of influence of the planet. A typical time is a week. The small perturbations caused by the Sun will affect the ideal hyperbolic trajectory. When the fly-by planet is the Earth, the Moon and J2 cause also small changes in the hyperbola. The small changes in V infinity are the subject of this paper. The perturbation of the Sun can be modeled as a restricted three body problem or analyzed with the standard averaging technique applied to an hyperbolic orbit. We compare our results to the real data of the fly-by past the Earth on March 4, 2005 by the Rosetta spacecraft on his way to the comet Churymov-Gerasimenko (2014)., 資料番号: AA0063718013}, pages = {69--83}, publisher = {宇宙航空研究開発機構宇宙科学研究本部, Institute of Space and Astronautical Science, Japan Aerospace Exploration Agency (JAXA/ISAS)}, title = {Influence of the finite duration on a fly-by}, year = {2008} }