Orbital Calculator – HTML Tool for Satellite Periods and Velocities for the Solar System. UKF

Q: What does this research mean for the field?

Orbital periods and mean velocities of satellites and Solar System objects can be computed using only geometric addresses and kinematic invariants, without requiring mass or the gravitational constant, via the Universal Kochenov Framework. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

boris kochenov

doi:10.5281/zenodo.22708214

September 11, 2026Open Access

Orbital Calculator – HTML Tool for Satellite Periods and Velocities for the Solar System. UKF

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Key Points

To develop a lightweight, browser-based computational tool that determines orbital periods and mean velocities of Solar System satellites using geometric addresses and kinematic invariants rather than gravitational mass formulations.
Implemented an HTML and JavaScript interface executing the Universal Kochenov Framework (UKF) algorithm across steps A through F.
Calculated dimensionless orbital addresses ($a = a_{raw} / R_{eq}$) and derived base orbital periods ($T = T_0 \cdot a^{1.5}$) and velocities ($v = v_0 / \sqrt{a}$) from planetary surface invariants.
Incorporated secondary kinematic corrections, including a $J_2$ oblateness filter for close orbits ($a < 5$), binary barycentric scaling, retrograde spin factors, and Sun-Earth-Moon operators.
Successfully modeled orbital periods and velocities for dozens of major moons and artificial satellites (including ISS, GPS, and Jovian satellites) without requiring planetary masses or the gravitational constant $G$.
Demonstrated accurate alignment between geometric address calculations and reference NASA ephemeris periods across cataloged planetary satellite systems.

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Implication

Computational tool demonstrates mass-free orbital period and velocity calculations across Solar System satellites, highlighting geometric scaling over gravitational constants.

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boris kochenov (2026) studied this question.

synapsesocial.com/papers/6aa7b2e10926e14a848b17aa https://doi.org/10.5281/zenodo.22708214

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Orbital Calculator – HTML Tool for Satellite Periods and Velocities for the Solar System. UKF

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Orbital Calculator – HTML Tool for Satellite Periods and Velocities for the Solar System. UKF

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