The relationship between the golf swing plane and ball impact characteristics using trajectory ellipse fitting

Andrew Morrison, Denise McGrath, Eric S Wallace

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


The trajectory of the clubhead close to ball impact during the golf swing has previously been shown to be planar. However, the relationship between the plane orientation and the orientation characteristics of the clubhead at ball impact has yet to be defined. Fifty-two male golfers (27 high skilled, 25 intermediate skilled) hit 40 drives each in an indoor biomechanics laboratory. This study successfully fitted the trajectory of the clubhead near impact to an ellipse for each swing for players of different skill levels to help better explain this relationship. Additionally, the eccentricities of the ellipses were investigated for links to skill level. The trajectory of the clubhead was found to fit to an ellipse with RMSE of 1.2 mm. The eccentricity of the ellipse was found to be greater in the high-skilled golfers. The club path and angle of attack generated from the ellipse fitted clubhead trajectory were found to have a normalised bias-corrected RMSE of 2% and 3%, respectively. A set of “rule of thumb” values for the relationship between the club path, angle of attack and delivery plane angle was generated for use by coaches.
Original languageEnglish
JournalJournal of Sports Sciences
Early online date15 Mar 2017
Publication statusE-pub ahead of print - 15 Mar 2017

Bibliographical note

Reference text: Betzler, N. F., Monk, S. A., Wallace, E. S., & Otto, S. R. (2012). Variability in
clubhead presentation characteristics and ball impact location for golfers’
drives. Journal of Sports Sciences, 30, 439–448. doi:10.1080/
Betzler, N. F., Monk, S. A., Wallace, E. S., & Otto, S. R. (2014). The relationships
between driver clubhead presentation characteristics, ball launch
conditions and golf shot outcomes. Proceedings of the Institution of
Mechanical Engineers, Part P: Journal of Sports Engineering and
Technology, 228, 242–249.
Brown, S. J., Nevill, A. M., Monk, S. A., Otto, S. R., Selbie, W. S., & Wallace, E.
S. (2011). Determination of the swing technique characteristics and
performance outcome relationship in golf driving for low handicap
female golfers. Journal of Sports Sciences, 29, 1483–1491. doi:10.1080/
Brown, S. J., Selbie, W. S., & Wallace, E. S. (2013). The X-factor: An evaluation
of common methods used to analyse major inter-segment kinematics
during the golf swing. Journal of Sports Sciences, 31, 1156–1163.
Burkholder, E. F. (1995). Geodesy. In R. C. Brinker & R. Minnick (Eds.), The
surveying handbook (2nd ed.). New York, NY: Springer.
Chai, T., & Draxler, R. R. (2014). Root mean square error (RMSE) or mean
absolute error (MAE)? – Arguments against avoiding RMSE in the
literature. Geoscientific Model Development, 7, 1247–1250. doi:10.5194/
Chu, Y., Sell, C. T., & Lephart, S. (2010). The relationship between biomechanical
variables and driving performance during the golf swing. Journal of
Sports Sciences, 28, 1251–1259. doi:10.1080/02640414.2010.507249
Coleman, S., & Anderson, D. (2007). An examination of the planar
nature of golf club motion in the swings of experienced players.
Journal of Sports Sciences, 25, 739–748. doi:10.1080/
Giakas, G., Baltzopoulos, V., & Bartlett, R. (1997). Improved extrapolation
techniques in recursive digital filtering: A comparison of least squares
and prediction. Journal of Biomechanics, 31, 87–91. doi:10.1016/S0021-
Hardy, J., & Andrisani, J. (2005). The plane truth for golfers: breaking down
the one-plane swing and the two-plane swing and finding the one that’s
right for you. New York, NY: McGraw-Hill Contemporary
Harper, T. E., Roberts, J. R., & Jones, R. (2005). Driver swingweighting: A
worthwhile process? Proceedings of the Institution of Mechanical
Engineers, Part B: Journal of Engineering Manufacture, 219, 385–393.
Hogan, B. (1957). Ben hogan’s five lessons: the modern fundamentals of golf.
London, UK: Simon & Schuster.
Horan, S. A., & Kavanagh, J. J. (2012). The control of upper body segment
speed and velocity during the golf swing. Sports Biomechanics, 11, 165–
174. doi:10.1080/14763141.2011.638390
Jenkins, S. (2007). Golf coaching and swing plane theories. International
Journal of Sports Science and Coaching, 2, 1–24. doi:10.1260/
Joyce, C., Burnett, A., Cochrane, J., & Ball, K. (2013). Three-dimensional
trunk kinematics in golf: between-club differences and relationships to
clubhead speed. Sports Biomechanics, 12, 108-120. doi:10.1016/S0021-
Keogh, J. W. L., & Hume, P. A. (2012). Evidence for biomechanics and
motor learning research improving golf performance. Sports
Biomechanics, 11, 288–309. doi:10.1080/14763141.2012.671354
Kwon, Y.-H., Como, C. S., Singhal, K., Lee, S., & Han, K. H. (2012). Assessment
of planarity of the golf swing based on the functional swing plane of
the clubhead and motion planes of the body points. Sports
Biomechanics, 11, 127–148. doi:10.1080/14763141.2012.660799
MacKenzie, S. J. (2012). Club position relative to the golfer’s swing plane
meaningfully affects swing dynamics. Sports Biomechanics, 11, 1–16.
Morrison, A., McGrath, D., & Wallace, E. S. (2014). Changes in club head
trajectory and planarity throughout the golf swing. Procedia
Engineering, 72, 144–149. doi:10.1016/j.proeng.2014.06.083
PGA. (2012). PGA study guide: Golf Coaching I. Sutton Coldfield, UK: The
Professional Golfers Association Ltd.
Sinclair, J., Currigan, G., Fewtrell, D. J., & Taylor, P. J. (2014). Biomechanical
correlates of club-head velocity during the golf swing. International
Journal of Performance Analysis in Sport, 14, 54–63.
Suttie, J. K. (2005). Your perfect swing. Leeds, UK: Human Kinetics.
Sweeney, M., Mills, P., Alderson, J., & Elliott, B. (2013). The influence of clubhead
kinematics on early ball flight characteristics in the golf drive.
Sports Biomechanics, 12, 247–258. doi:10.1080/14763141.2013.772225
Tucker, C. B., Anderson, R., & Kenny, I. C. (2013). Is outcome related to
movement variability in golf? Sports Biomechanics, 12, 343-354.
Vint, P. F., &Hinrichs, R. N. (1996). Endpoint error in smoothing and differentiating
raw kinematic data: An evaluation of four popular methods. Journal of
Biomechanics, 29, 1637–1642. doi:10.1016/S0021-9290(96)80018-2
Winter, D. A. (2009). Biomechanics and motor control of human movement
(4th ed.). Hoboken, NJ: Wiley.
Wiren, G. (1991). The PGA manual of golf: The professional’s way to play
better golf. Somerset, NJ: Hungry Minds.
Zatsiorsky, V. M. (2002). Kinetics of human motion. Champaign, IL: Human


  • Plane fitting
  • trajectory
  • eccentricity
  • striking
  • performance


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