Finish · Sources and licence
Sources, licence and attribution
Licence of the course text
The text of this course is licensed under Creative Commons Attribution 4.0 International (CC BY 4.0). You may copy, adapt and share it, for any purpose, if you give credit.
Please credit it like this: "How gravity shapes the solar system", © 2026 Mateusz Wojczal and the ulams contributors, CC BY 4.0, https://github.com/ulams-dev/ulams/tree/main/demo-content/gravity.
The simulation is a separate package under the MIT licence. It uses an Earth map from Solar System Scope (CC BY 4.0) and Three.js (MIT); its fonts are Inter and Roboto Mono (SIL Open Font License 1.1). The references below belong to their publishers.
How the facts were checked
Every number in the lessons was checked against the NASA, JPL or other reference named below. The orbital elements of the planets in the simulation follow the JPL tables of Standish and Williams. Where a figure in the simulation differs from the reference, the course uses the reference: the full list of checked claims is in the repository, in demo-content/gravity/FACTCHECK.md.
Sources by lesson
Start · Welcome
- Approximate Positions of the Planets (Keplerian elements, Table 1, 1800-2050 AD) (NASA JPL Solar System Dynamics), https://ssd.jpl.nasa.gov/planets/approx_pos.html
- Planetary Fact Sheet - Metric (comparison table) (NASA GSFC NSSDC), https://nssdc.gsfc.nasa.gov/planetary/factsheet/
1. What gravity is
- CODATA recommended value: Newtonian constant of gravitation (NIST), https://physics.nist.gov/cgi-bin/cuu/Value?bg
- Sun Fact Sheet (NASA GSFC NSSDC), https://nssdc.gsfc.nasa.gov/planetary/factsheet/sunfact.html
- COBE science (NASA Science), https://science.nasa.gov/mission/cobe/science/
- Sun: Facts (NASA Science), https://science.nasa.gov/sun/facts/
- Moon Fact Sheet (NASA GSFC NSSDC), https://nssdc.gsfc.nasa.gov/planetary/factsheet/moonfact.html
- Orbits and Kepler's Laws (NASA Science), https://science.nasa.gov/solar-system/orbits-and-keplers-laws/
2. Falling around: orbits
- Earth Fact Sheet (NASA GSFC NSSDC), https://nssdc.gsfc.nasa.gov/planetary/factsheet/earthfact.html
- Kepler's 3rd Law - Lesson Plan #31 (first cosmic velocity) (NASA GSFC Stargazer), https://pwg.gsfc.nasa.gov/stargaze/Lkepl3rd.htm
- Moon Fact Sheet (NASA GSFC NSSDC), https://nssdc.gsfc.nasa.gov/planetary/factsheet/moonfact.html
3. Kepler's laws
- Approximate Positions of the Planets (Keplerian elements, Table 1, 1800-2050 AD) (NASA JPL Solar System Dynamics), https://ssd.jpl.nasa.gov/planets/approx_pos.html
- Venus Fact Sheet (NASA GSFC NSSDC), https://nssdc.gsfc.nasa.gov/planetary/factsheet/venusfact.html
- Orbits and Kepler's Laws (NASA Science), https://science.nasa.gov/solar-system/orbits-and-keplers-laws/
- Mars Fact Sheet (NASA GSFC NSSDC), https://nssdc.gsfc.nasa.gov/planetary/factsheet/marsfact.html
- Jupiter Fact Sheet (NASA GSFC NSSDC), https://nssdc.gsfc.nasa.gov/planetary/factsheet/jupiterfact.html
4. Cosmic velocities
- Kepler's 3rd Law - Lesson Plan #31 (first cosmic velocity) (NASA GSFC Stargazer), https://pwg.gsfc.nasa.gov/stargaze/Lkepl3rd.htm
- Earth Fact Sheet (NASA GSFC NSSDC), https://nssdc.gsfc.nasa.gov/planetary/factsheet/earthfact.html
- Astrodynamic Parameters (NASA JPL Solar System Dynamics), https://ssd.jpl.nasa.gov/astro_par.html
5. The Earth and the Moon
- Moon Fact Sheet (NASA GSFC NSSDC), https://nssdc.gsfc.nasa.gov/planetary/factsheet/moonfact.html
- What Causes Tides? (NOAA NESDIS), https://www.nesdis.noaa.gov/about/k-12-education/oceans-coasts/what-causes-tides
- Geoid (GOCO06s model visualization) (NASA Scientific Visualization Studio), https://svs.gsfc.nasa.gov/5660/
- Astrodynamic Parameters (NASA JPL Solar System Dynamics), https://ssd.jpl.nasa.gov/astro_par.html
- First Close-up of the Far Side of Moon (Luna 3) (NASA Science), https://science.nasa.gov/resource/first-close-up-of-the-far-side-of-moon/
6. Orbits in 3D and a moving Sun
- Moon Fact Sheet (NASA GSFC NSSDC), https://nssdc.gsfc.nasa.gov/planetary/factsheet/moonfact.html
- Earth Fact Sheet (NASA GSFC NSSDC), https://nssdc.gsfc.nasa.gov/planetary/factsheet/earthfact.html
- There's More to the North Star Than Meets the Eye (NASA Science (Hubble)), https://science.nasa.gov/missions/hubble/theres-more-to-the-north-star-than-meets-the-eye/
- Solar System: Facts (NASA Science), https://science.nasa.gov/solar-system/solar-system-facts/
- Approximate Positions of the Planets (Keplerian elements, Table 1, 1800-2050 AD) (NASA JPL Solar System Dynamics), https://ssd.jpl.nasa.gov/planets/approx_pos.html
- Jupiter Fact Sheet (NASA GSFC NSSDC), https://nssdc.gsfc.nasa.gov/planetary/factsheet/jupiterfact.html
- Venus Fact Sheet (NASA GSFC NSSDC), https://nssdc.gsfc.nasa.gov/planetary/factsheet/venusfact.html
- Why is Polaris the North Star? (StarChild) (NASA GSFC), https://starchild.gsfc.nasa.gov/docs/StarChild/questions/question64.html
7. The solar system as a machine
- Astrodynamic Parameters (NASA JPL Solar System Dynamics), https://ssd.jpl.nasa.gov/astro_par.html
- Ulysses Begins to Explore Sun's Northern Pole (NASA JPL), https://www.jpl.nasa.gov/news/ulysses-begins-to-explore-suns-northern-pole/
- Magnetospheres (focus area) (NASA Science), https://science.nasa.gov/heliophysics/focus-areas/magnetosphere-ionosphere/
- Webb Orbit (NASA Science), https://science.nasa.gov/mission/webb/orbit/
- Euclid fact sheet (ESA), https://sci.esa.int/web/euclid/-/fact-sheet
- Europa: Facts (NASA Science), https://science.nasa.gov/jupiter/jupiter-moons/europa/europa-facts/
- Sun Fact Sheet (NASA GSFC NSSDC), https://nssdc.gsfc.nasa.gov/planetary/factsheet/sunfact.html
- NASA's WISE Finds Earth's First Trojan Asteroid (NASA JPL), https://www.jpl.nasa.gov/news/nasas-wise-finds-earths-first-trojan-asteroid/
- Newly discovered asteroid just second of its kind (2020 XL5) (ESA), https://www.esa.int/Space_Safety/Planetary_Defence/Newly_discovered_asteroid_just_second_of_its_kind
- Vigil mission overview (ESA), https://www.esa.int/Space_Safety/Vigil/Vigil_mission_overview
- WMAP overview (Sun-Earth Lagrange points diagram) (NASA Science), https://science.nasa.gov/mission/wmap/wmap-overview/
- Venus Fact Sheet (NASA GSFC NSSDC), https://nssdc.gsfc.nasa.gov/planetary/factsheet/venusfact.html
8. Travelling by gravity, and beyond
- Voyager 1 (NASA Science), https://science.nasa.gov/mission/voyager/voyager-1/
- Voyager 2 (NASA Science), https://science.nasa.gov/mission/voyager/voyager-2/
- Voyager mission overview (NASA Science), https://science.nasa.gov/mission/voyager/
- Oort Cloud and Scale of the Solar System (infographic) (NASA Science), https://science.nasa.gov/resource/oort-cloud-and-scale-of-the-solar-system-infographic/
- 2025 Exoplanet Archive News (NASA Exoplanet Archive), https://exoplanetarchive.ipac.caltech.edu/docs/2025news.html
- Solar System: Facts (NASA Science), https://science.nasa.gov/solar-system/solar-system-facts/
- Astronomers reveal first image of the black hole at the heart of our galaxy (eso2208) (ESO), https://www.eso.org/public/news/eso2208/
- Detection of the gravitational redshift in the orbit of the star S2 near the Galactic centre massive black hole (abstract) (GRAVITY Collaboration / arXiv), https://arxiv.org/abs/1807.09409
- Planck 2018 results. VI. Cosmological parameters (abstract) (Planck Collaboration / arXiv), https://arxiv.org/abs/1807.06209
- The Grand Tour (NASA Science), https://science.nasa.gov/image-detail/grand-tour/
- What Is a Barycenter? (NASA Space Place), https://spaceplace.nasa.gov/barycenter/en/
- Galaxies and the Expanding Universe (ESA), https://sci.esa.int/web/education/-/36827-galaxies-and-the-expanding-universe?fbodylongid=1732
- Planck 2018 results. I. Overview (dipole, ar5iv HTML) (Planck Collaboration / ar5iv), https://ar5iv.labs.arxiv.org/html/1807.06205
- Dark Matter (NASA Science), https://science.nasa.gov/dark-matter/
9. Einstein's gravity
- Perihelion Precessions of Inner Planets in Einstein's Theory and Predicted Values for the Cosmological Constant (PubMed Central (peer-reviewed article)), https://pmc.ncbi.nlm.nih.gov/articles/PMC9635960/
- Sun's Gravity Bends Starlight (Cosmic Times, 1919) (NASA Goddard Imagine the Universe), https://imagine.gsfc.nasa.gov/educators/programs/cosmictimes/educators/guide/1919/starlight.html
- 100 Years of General Relativity (Blueshift) (NASA Goddard), https://asd.gsfc.nasa.gov/blueshift/index.php/2015/11/25/100-years-of-general-relativity/
- GW150914 (LIGO Scientific Collaboration), https://www.ligo.org/detections/gw150914/
- Astronomers reveal first image of the black hole at the heart of our galaxy (eso2208) (ESO), https://www.eso.org/public/news/eso2208/
- Gravitational-wave science (LIGO Scientific Collaboration), http://www.ligo.org/gravitational-wave-science/
Found a mistake?
Please tell us: open an issue at https://github.com/ulams-dev/ulams/issues with the lesson and the number.