Nonresonant tesseral coupling. Shape matters

Nonresonant tesseral coupling. Shape matters | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Nonresonant tesseral coupling. Shape matters Martin Lara This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7549445/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 13 Dec, 2025 Read the published version in Celestial Mechanics and Dynamical Astronomy → Version 1 posted 8 You are reading this latest preprint version Abstract Long-term effects induced by the coupling of gravitational harmonics can be significant in nonresonant orbits about bodies whose shape clearly departs from an Earth-like mass distribution. Based on a perturbation arrangement that assumes a mild dominance of the zonal harmonic of the second degree, the transformation that removes the short-period terms is derived for a degree and order 3 truncation of the expansion of the gravitational potential. Particularization of the ensuing mean dynamics for the gravity coefficients of the Moon illustrates the important differences that the coupling of non-zonal terms may introduce with respect to typical perturbed Kepler motions. Perturbed Kepler motion tesseral harmonics mean elements Hamiltonian reduction canonical transformation tesseral coupling lunar orbits preliminary mission analysis frozen orbits Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 13 Dec, 2025 Read the published version in Celestial Mechanics and Dynamical Astronomy → Version 1 posted Editorial decision: Accepted 13 Nov, 2025 Reviews received at journal 20 Oct, 2025 Reviewers agreed at journal 12 Sep, 2025 Reviewers agreed at journal 12 Sep, 2025 Reviewers invited by journal 11 Sep, 2025 Editor assigned by journal 09 Sep, 2025 Submission checks completed at journal 09 Sep, 2025 First submitted to journal 06 Sep, 2025 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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