Modelling the flyby anomalies using a modification of inertia

Abstract

Abstract The flyby anomalies are unexplained velocity jumps of 3.9, −4.6, 13.5, −2, 1.8 and 0.02 mm s−1 observed near closest approach during the Earth flybys of six spacecraft. These flybys are modelled here using a theory that assumes that inertia is due to a form of Unruh radiation, and varies with acceleration due to a Hubble-scale Casimir effect. Considering the acceleration of the craft relative to every particle of the rotating Earth, the theory predicts that there is a slight reduction in inertial mass with increasing latitude for an unbound craft, since near the pole it sees a lower average relative acceleration. Applying this theory to the inbound and outbound flyby paths, with conservation of momentum, the predicted anomalies were 2.9, −0.9, 20.1, 0.9, 3.2 and −1.3 mm s−1. Three of the flyby anomalies were reproduced within error bars, and the theory explains their recently observed dependence on the latitude difference between their incident and exit trajectories. The errors for the other three flybys were between 1 and 3 mm s−1.