The flyby anomaly: A multivariate analysis approach

Abstract

The flyby anomaly is the unexpected variation of the asymptotic post-encounter velocity of a spacecraft with respect to the pre-encounter velocity as it performs a slingshot manoeuvre. This effect has been detected in, at least, six flybys of the Earth but it has not appeared in other recent flybys. In order to find a pattern in these, apparently contradictory, data several phenomenological formulas have been proposed but all have failed to predict a new result in agreement with the observations. In this paper we use a multivariate dimensional analysis approach to propose a fitting of the data in terms of the local parameters at perigee, as it would occur if this anomaly comes from an unknown fifth force with latitude dependence. Under this assumption, we estimate the range of this force around 300 km.

17 pages, 3 tables

References in corpus (7)

• Support for the thermal origin of the Pioneer anomaly
• On the anomalous secular increase of the eccentricity of the orbit of the Moon
• Modelling the flyby anomalies using a modification of inertia
• An Empirical Explanation of the Anomalous Increases in the Astronomical Unit and the Lunar Eccentricity
• The flyby anomaly: A case for strong gravitomagnetism ?
• The effect of general relativity on hyperbolic orbits and its application to the flyby anomaly
• On the effect of ocean tides and tesseral harmonics on spacecraft flybys of the Earth