Analysis of position and velocity variations for hyperbolic orbits and application to flyby anomaly

Youngkwang Kim, Sang Young Park

Research output: Contribution to journalArticlepeer-review


Flyby anomaly indicates the existence of an unknown perturbation (i.e., anomalous acceleration) that affects hyperbolic trajectories. Based on the analytical position and velocity variations, this paper investigates the general kinematics of perturbed hyperbolic orbits. As a result, post-interaction approximation formulas are derived. Based on these results, the observation data of the Galileo and NEAR Earth flybys are analyzed. The analysis results derive new constraints for flyby kinematics. The authors of this paper selected a few of the hypothetical acceleration models and analyzed their kinematical properties as representative examples. The simulation results show that the acceleration models fail to reproduce the characteristics of the range and Doppler observation data. This means that, in modeling the flyby anomaly, not only energy variation, but also kinematical constraints must be considered to reproduce the observation data.

Original languageEnglish
Pages (from-to)181-190
Number of pages10
JournalTransactions of the Japan Society for Aeronautical and Space Sciences
Issue number5
Publication statusPublished - 2018

Bibliographical note

Funding Information:
This work was supported by the National Research Foundation of Korea through the Space Core Technology Development Program funded by the Ministry of Science, ICT & Future Planning (2014M1A3A3A03034588). This research was also supported by the Korea Astronomy and Space Science Institute (KASI) and the Yonsei Research Collaboration Program for the Frontiers of Astronomy and Space Science. The authors appreciate Prof. Young Keun Chang, School of Aerospace and Mechanical Engineering, Korea Aerospace University, for providing invaluable comments.

Publisher Copyright:
© 2018 The Japan Society for Aeronautical and Space Sciences.

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science


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