1. Educational and Informational Purpose
SkyMotion.tools is engineered strictly as an educational and reference resource for physics students, educators, photographers, cinematographers, and curious travelers. The mathematical routines (including sunrise/sunset computations, lunar illumination models, free fall kinematics, braking dynamics, and aspect ratios) are provided to illustrate physical laws and provide convenient estimates.
2. Algorithmic Precision and Engineering Disclaimer
While all algorithms are calibrated against recognized scientific standards (such as the US Naval Observatory Astronomical Almanac, Jean Meeus’ Astronomical Algorithms, NOAA solar geometry formulas, and NIST physical constants), atmospheric variables (such as local air temperature, pressure, barometric refraction, horizon topography, and weather) introduce real-world variances:
- Solar and Lunar Times: Solar horizon phenomena are calculated for standard sea-level atmospheric refraction ($34'$ of arc) and standard solar angular semidiameter ($16'$). Local mountain ranges or micro-climatic atmospheric anomalies may shift perceived sunrise and sunset times by several minutes.
- Vehicle Braking & Kinematics: Stopping distance equations assume idealized tire-road friction values and simplified human reaction delays. These models must never be used for commercial safety certification, accident reconstruction litigation, or critical real-world navigation decisions.
3. Limitation of Liability
Under no circumstances shall Traian Anghel or SkyMotion.tools be liable for any direct, indirect, incidental, consequential, or punitive damages resulting from the use or inability to use the calculators, articles, or reference tables provided on this platform. All tools are delivered on an "as-is" and "as-available" basis without warranties of any kind.
4. Intellectual Property & Fair Use
The original code, interactive visualizers, explanatory textbook-grade texts, and site layout are the intellectual property of Traian Anghel. The underlying physical equations, universal physical constants, and astronomical formulas are in the public scientific domain.
Educators and students are encouraged to use and cite the output and explanations for academic, classroom, and non-commercial educational purposes, provided clear attribution to SkyMotion.tools or WaveLab.tools is maintained.
5. Modifications and Updates
We reserve the right to revise these terms and expand the computational models at any time. Continued use of the platform after updates constitutes acceptance of the modified terms.
For questions regarding these terms, please submit an inquiry via our Contact Page.