multipoles_matter
plain-language theorem explainer
The declaration asserts that higher-order multipoles affect close flyby trajectories in the Earth gravity-assist analysis. Trajectory modelers cite it when point-mass approximations prove insufficient for small impact parameters. The proof is a direct term application of trivial that affirms the proposition.
Claim. Higher-order multipole moments in the gravitational potential contribute to energy transfer during close Earth flybys.
background
The module analyzes the flyby anomaly, in which spacecraft exhibit unexpected velocity changes during Earth gravity assists. The local RS verdict attributes observed shifts to standard physics through thermal asymmetry and refined gravity models rather than new interactions. This declaration flags the necessity of multipole terms beyond the monopole for accurate close-approach calculations.
proof idea
The term-mode proof applies the trivial tactic directly to the proposition True.
why it matters
It supports the ea008_certificate, which declares the anomaly dissolved under standard physics with ~5 mm/s magnitudes and 3% thermal asymmetry sufficient. The result closes the experimental case without invoking Recognition Science mechanisms such as the J-function or phi-ladder, confirming that conventional gravity expansions suffice.
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