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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2511.00286 |
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| _version_ | 1866911244214075392 |
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| author | Rueda, José A. Ramírez, Sergio Sánchez, Miguel A. Aguilar, Cecilio U. B, Sandra Rueda |
| author_facet | Rueda, José A. Ramírez, Sergio Sánchez, Miguel A. Aguilar, Cecilio U. B, Sandra Rueda |
| contents | The subsolar point, the closest location on Earth's surface to the Sun, marks the Sun-Earth line of gravity that governs Earth's coupled orbital-rotational cycle. We examined the dynamic interactions among the Sun meridian declination (SMD), the Equation of Time (EoT), Earth's rotational speed (ER$_ω$) -- equatorial and with respect to the Sun -- and the path of the subsolar point (NBI) across longitude, including time derivatives up to the fourth order (snap). A central finding was that the function NBI$_α$(SMD) traces a lemniscate whose temporal structure mirrors the analemma, EoT(SMD), and whose symmetry converges to the obliquity component of the EoT. The EoT velocity ($ω^*$) peaks at solstices, troughs near the equinoxes, and crosses zero every mid-season. ER$_ω$ decreases monotonically along trans-equinoctial phases where the net drives of EoT and SMD coincide, and increases along trans-solstitial phases, where their net drives oppose. Eight sharp kinematic periods were identified for the cycle SMD-EoT-ER$_ω$: two equinoctial, two solstitial, and one within each season. The non-solstitial sharp terms, defined by ZCPs and troughs of $ω^*$, display a consistent 3$^\circ$ northward offset from the function NBI$_α$(SMD). These results reveal a direct dynamical link between SMD, EoT, and Earth's rotational speed, providing a novel framework for understanding Earth's rotation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00286 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sharp dynamic points in Earth-Sun physics Rueda, José A. Ramírez, Sergio Sánchez, Miguel A. Aguilar, Cecilio U. B, Sandra Rueda Earth and Planetary Astrophysics Instrumentation and Methods for Astrophysics 85A05 (primary) 70F10 (secondary) H.1; J.2 The subsolar point, the closest location on Earth's surface to the Sun, marks the Sun-Earth line of gravity that governs Earth's coupled orbital-rotational cycle. We examined the dynamic interactions among the Sun meridian declination (SMD), the Equation of Time (EoT), Earth's rotational speed (ER$_ω$) -- equatorial and with respect to the Sun -- and the path of the subsolar point (NBI) across longitude, including time derivatives up to the fourth order (snap). A central finding was that the function NBI$_α$(SMD) traces a lemniscate whose temporal structure mirrors the analemma, EoT(SMD), and whose symmetry converges to the obliquity component of the EoT. The EoT velocity ($ω^*$) peaks at solstices, troughs near the equinoxes, and crosses zero every mid-season. ER$_ω$ decreases monotonically along trans-equinoctial phases where the net drives of EoT and SMD coincide, and increases along trans-solstitial phases, where their net drives oppose. Eight sharp kinematic periods were identified for the cycle SMD-EoT-ER$_ω$: two equinoctial, two solstitial, and one within each season. The non-solstitial sharp terms, defined by ZCPs and troughs of $ω^*$, display a consistent 3$^\circ$ northward offset from the function NBI$_α$(SMD). These results reveal a direct dynamical link between SMD, EoT, and Earth's rotational speed, providing a novel framework for understanding Earth's rotation. |
| title | Sharp dynamic points in Earth-Sun physics |
| topic | Earth and Planetary Astrophysics Instrumentation and Methods for Astrophysics 85A05 (primary) 70F10 (secondary) H.1; J.2 |
| url | https://arxiv.org/abs/2511.00286 |