A Derivation of the Empirical Anderson Formula for Earth Flyby Anomalies from the ASTG-Model — Oak Academic Publishing
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A Derivation of the Empirical Anderson Formula for Earth Flyby Anomalies from the ASTG-Model
Department of Applied Physics, National University of Science & Technology, Fundamental Theoretical Physics Explorers, Bulawayo, Republic of Zimbabwe
1 Department of Applied Physics, National University of Science & Technology, Fundamental Theoretical Physics Explorers, Bulawayo, Republic of Zimbabwe
Following a detailed examination of the flyby anomaly phenomenon, we provide a clear derivation of Anderson et al. ’s empirical formula based on the Azimuthally Symmetric Theory of Gravitation (ASTG-model). Our review concentrates on the foundational origins of Anderson et al. ’s empirical formula. The ASTG-model, from which we will derive this formula, serves as a logical and natural extension of Sir Isaac Newton’s central gravitational potential theory: Φ = Φ ( r ) . It proposes a gravitational potential that depends not only on the radial distance ( r ) but also on the azimuthal angle ( θ ), i.e. : Φ = Φ ( r , θ ) . In the ASTG-model, it is suggested that the observed θ -dependence in gravitational potential arises from the spin angular momentum of the gravitating body in question. A significant and beneficial result of our derivation of Anderson et al. ’s empirical formula is that— to first order approximation —it helps to partially address the ‘ nagging ’ and ‘ bothersome ’ free parameter problem that the ASTG-model encounters.
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