Effect of TTC on Satellite Orbital Mechanics

TL;DR

This paper discusses how the topological torsion current (TTC) modifies spacecraft orbital equations, predicting anomalous accelerations during planetary flybys that depend on flyby direction, which could explain observed anomalies.

Contribution

It introduces a modified dynamical equation incorporating TTC, providing a new theoretical framework to explain flyby anomalies in spacecraft trajectories.

Findings

Predicts anomalous accelerations during retrograde flybys

Null-effect during posigrade flybys

Aligns with observed spacecraft anomalies

Abstract

The modified dynamical equation of motions introduced in previous publication topological torsion current (TTC) [Mario J. Pinheiro (2013) 'A Variational Method in Out-of-Equilibrium Physical Systems', Scientific Reports {\bf 3}, Article number: 3454] predicts a so-far unforeseen anomalous acceleration detected in spacecrafts during close planetary flybys in retrograde direction, and a null-effect when the spacecraft approach the planet in posigrade direction.