2508.04695
Attitude Motion of Unbalanced Partial-Spin Spacecraft
Jingyuan Wu, Wenhao Li, Guanhua Feng
correcthigh confidence
- Category
- Not specified
- Journal tier
- Specialist/Solid
- Processed
- Sep 28, 2025, 12:57 AM
- arXiv Links
- Abstract ↗PDF ↗
Audit review
Both the paper and the model use the same Floquet decomposition with P(τ) the 2π-periodic rotation and a constant 2×2 off-diagonal R. Both reduce stability to the sign of u1 u2, which equals the sign of σ, and reach the same classification: σ<0 bounded oscillations, σ=0 linear growth, σ>0 exponential growth. The model adds two clarifications: (i) generic solutions are quasi-periodic for σ<0 unless frequencies are commensurate; (ii) at σ=0 the homogeneous Floquet factor is generally nilpotent (e^{τR}=I+τR) unless u1=u2=0, whereas the paper writes Φ(τ,0)=P(τ) in that case. These are minor issues of precision; the core argument and result coincide.
Referee report (LaTeX)
\textbf{Recommendation:} minor revisions \textbf{Journal Tier:} specialist/solid \textbf{Justification:} The paper offers a clear LPTV reduction, explicit closed-form solutions, and a usable stability index σ for an unbalanced partial-spin configuration. The core result is correct and well supported by formulas and simulations. Minor theoretical clarifications would improve precision: (i) emphasize quasi-periodicity of bounded motion for σ<0 unless frequencies are commensurate; (ii) state that at σ=0 the Floquet factor is generally nilpotent (e\^{τR}=I+τR) unless u1=u2=0, rather than writing Φ(τ,0)=P(τ) unconditionally.