Pioneer 10 and 11 Spacecraft Anomalous Acceleration in the light of the Nonsymmetric Kaluza-Klein (Jordan-Thiry) Theory

TL;DR

This paper explores how the Nonsymmetric Kaluza-Klein theory explains the Pioneer spacecrafts' anomalous acceleration, predicts their future trajectories, and connects the phenomenon to cosmological parameters like the Hubble constant.

Contribution

It introduces a model linking anomalous spacecraft acceleration to cosmological constants within a modified gravity framework, providing exact solutions and statistical analysis.

Findings

The model fits the Pioneer anomaly without contradicting Solar System observations.

Identifies bounded periodic and chaotic orbits under anomalous acceleration.

Connects anomalous acceleration to the Hubble constant and cosmological constant.

Abstract

The Nonsymmetric Kaluza-Klein (Jordan-Thiry) Theory leads to a model of a modified acceleration that can fit an anomalous acceleration experienced by the Pioneer 10 and 11 spacecraft. The future positions of those spacecrafts are predicted using distorted hyperbolic orbit. A connection between an anomalous acceleration and a Hubble constant is solved in the theory together with a relation to a cosmological constant using a paradigm of modern cosmology. . In the paper we consider an exact solution of a point mass motion in the Solar System under an influence of an anomalous acceleration. We find two types of orbits: periodic and chaotic. Both orbits are bounded. This means there is no possibility to escape from the Solar System. Some possibilities to avoid this conclusion are considered. Relativistic effects and a cosmological drifting of a gravitational constant are considered.The model of an anomalous acceleration does not cause any contradiction with Solar System observations. We give a full statistical analysis of the model.