Perturbations of a Sepacecraft Orbit during a Hyperbolic Flyby

Rappaport, N. J.; Giampieri, G.; Anderson, J. D.

doi:10.1006/icar.2000.6559

Cited by 8 publications

(4 citation statements)

References 12 publications

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“…One gets similar results as Eqs (–) in Ref. . The rate of change of elements of perturbed hyperbola is slower than a motion of a point mass on the orbit and for this we improve calculated position changing elements of an orbit.…”

Section: A Disturbed Hyperbolic Orbit In the Solar Systemsupporting

confidence: 81%

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

Kalinowski

2015

Fortschritte der Physik

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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 in CDMΛ model. 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. We resolve also a coincidence between an anomalous acceleration and the cosmological constant using a paradigm of modern cosmology. 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. We consider also a full formalism of the Nonsymmetric Jordan–Thiry Theory for the problem and present a relativistic model of an anomalous acceleration. We consider the model for General Relativity approximation, i.e. gμν≠ημν (gμν=gνμ). In this model there are no contradictions with General Relativity tests in the Solar System. Pioneer 10/11 spacecrafts will come back in 106 years (a time scale of our periodic solutions is 106 years). Moreover, almost relativistic or relativistic spacecrafts can escape from the Solar System. We consider also a model of a relativistic acceleration which is more complicated, with gμν≠gνμ taken into account.

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Section: A Disturbed Hyperbolic Orbit In the Solar Systemsupporting

confidence: 81%

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

Kalinowski

2015

Fortschritte der Physik

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show abstract

“…One gets similar results as Eqs (7.19-7.23) in Ref. [97]. The rate of change of elements of perturbed hyperbola is slower than a motion of a point mass on the orbit and for this we improve calculated position changing elements of an orbit.…”

Section: Or Even (B1)-(b2)supporting

confidence: 81%

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

Kalinowski

2015

Preprint

View full text Add to dashboard Cite

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 in CDMΛ model.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. We resolve also a coincidence between an anomalous acceleration and the cosmological constant using a paradigm of modern cosmology. 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. We consider also a full formalism of the Nonsymmetric Jordan-Thiry Theory for the problem and present a relativistic model of an anomalous acceleration. We consider the model for General Relativity approximation, i.e. g µν = η µν (g µν = g νµ ).In this model there are no contradictions with General Relativity tests in the Solar System. Pioneer 10/11 spacecrafts will come back in 10 6 years (a time scale of our periodic solutions is 10 6 years). Moreover, almost relativistic or relativistic spacecrafts can escape from the Solar System. We consider also a model of a relativistic acceleration which is more complicated, with g µν = g νµ taken into account.

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“…The spacecraft will move along a trajectory that is perturbed by the various components of the body's gravitational field expressed as a spherical harmonic series (Hubbard and Anderson, 1978;Rappaport et al, 2001;Zharkov et al, 1985). To determine the distribution of mass within the icy satellites requires close spacecraft flybys, sometimes repeatedly, in order to resolve more precisely a body's gravitational field.…”

Section: Density and Compositionmentioning

confidence: 99%