Pioneer 10 and 11 Spacecraft Anomalous Acceleration in the light of the Nonsymmetric Kaluza-Klein (Jordan-Thiry) Theory
arXiv:1502.07745 · doi:10.1002/prop.201500046
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.
248 pages,238 figures, some minor changes and extensions
References in corpus (42)
- Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
- The Hubble Constant: A Summary of the HST Program for the Luminosity Calibration of Type Ia Supernovae by Means of Cepheids
- The Contribution of the Cosmological Constant to the Relativistic Bending of Light Revisited
- Support for the thermal origin of the Pioneer anomaly
- Phenomenology of the Lense-Thirring effect in the Solar System
- Editorial for the Special Issue 100 Years of Chronogeometrodynamics: The Status of the Einstein's Theory of Gravitation in Its Centennial Year
- Dark matter vs. modifications of the gravitational inverse-square law. Results from planetary motion in the solar system
- Constraints on MOND theory from radio tracking data of the Cassini spacecraft
- Measurements of Newton's gravitational constant and the length of day
- Orbital precession due to central-force perturbations
- Gravitational Anomalies in the Solar System?
- The Energy Transfer Process in Planetary Flybys
- Solar system constraints on multi-field theories of modified dynamics
- Matter-wave Interferometry with Phase Fluctuating Bose-Einstein Condensates
- Thermal Analysis of the Pioneer Anomaly: A method to estimate radiative momentum transfer
- Two-body problem with the cosmological constant and observational constraints
- The Relevance of the Cosmological Constant for Lensing
- On the anomalous secular increase of the eccentricity of the orbit of the Moon
- Evolution of gravitational orbits in the expanding universe
- Cosmological perturbations on local systems
- Could the Pioneer anomaly have a gravitational origin?
- Celestial Ephemerides in an Expanding Universe
- Solar System constraints on local dark matter density
- Perihelion precession for modified Newtonian gravity
- Solar System planetary orbital motions and dark matter
- Solar System motions and the cosmological constant: a new approach
- Can the Pioneer anomaly be of gravitational origin? A phenomenological answer
- Note on the perihelion/periastron advance due to cosmological constant
- Testing Gravity in the Outer Solar System: Results from Trans-Neptunian Objects
- Remark on orbital precession due to central-force perturbations
- An Empirical Explanation of the Anomalous Increases in the Astronomical Unit and the Lunar Eccentricity
- Post-Newtonian Celestial Dynamics in Cosmology: Field Equations
- Instabilities in the nonsymmetric theory of gravitation
- Density of dark matter in Solar system and perihelion precession of planets
- Local cosmological effects of the order of H in the orbital motion of a binary system
- Can the Pioneer anomaly be induced by velocity-dependent forces? Tests in the outer regions of solar system with planetary dynamics
- Nonlinear electrodynamics and the Pioneer 10/11 spacecraft anomaly
- Weyl conformastatic perihelion advance of small body objects
- Cosmology in the Solar System: Pioneer effect is not cosmological
- Chameleon effect and the Pioneer anomaly
- On some developments in the Nonsymmetric Kaluza-Klein Theory
- Two-body orbit expansion due to time-dependent relative acceleration rate of the cosmological scale factor