Timeline for What is the orbital period of our sun around its barycenter?
Current License: CC BY-SA 4.0
21 events
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| Dec 20, 2022 at 13:45 | comment | added | PM 2Ring | Also see astronomy.stackexchange.com/a/44903/16685 | |
| Sep 18, 2022 at 3:26 | history | edited | PM 2Ring | CC BY-SA 4.0 |
Added speed graph
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| Oct 12, 2021 at 20:17 | history | edited | PM 2Ring | CC BY-SA 4.0 |
Updated script to use the new Horizons file
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| May 3, 2021 at 21:44 | comment | added | Daddy Kropotkin | That's awesome! Thanks for explaining. | |
| May 3, 2021 at 19:56 | comment | added | PM 2Ring | @DaddyKropotkin I'm not calculating the data, I'm pulling it directly from the JPL Development Ephemeris via their Horizons interface. I'm using that 3D position & velocity data (of the Sun, relative to the Solar System barycentre) to calculate the Bezier control points, which Sage then uses to plot the curves. Although the curves are in 3D, at this scale it's not easy to see that the curves aren't perfectly planar. The Z coordinate variation is ~1% of the X & Y variation. | |
| May 3, 2021 at 18:25 | comment | added | Daddy Kropotkin | Very neat! Are you using cubic Bezier curves because you are considering four points in the plane, i.e., Saturn, Uranus, Jupiter, and the Sun? Or is there another reason? Do the gravitational dynamics reduce to the Bernstein polynomials? Like, this isn't just computer graphics, right? You're implementing Newtonian gravity? | |
| May 3, 2021 at 16:19 | comment | added | PM 2Ring |
@DaddyKropotkin Sure. Although the Sun's motion wrt the barycentre doesn't form a simple closed loop, it's actually fairly well-behaved, because the periods of Saturn, and Uranus are roughly 2.5× and 7× the period of Jupiter. My Sage script uses cubic Bezier curves to plot the path. The parameter ss controls the step size (in years) used for the Bezier curves. Currently, ss=1 so every year point is used in the curve calculation. If you set ss=3, only every 3rd year point will be used, but the curve will still go fairly close to the in-between year points.
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| May 3, 2021 at 15:53 | comment | added | Daddy Kropotkin | Could the motion of the sun w.r.t. the solar system barycenter be considered as quasiperiodic, e.g., if we consider the orbital timescale to be much smaller than the timescale over which the orbital angular momentum changes appreciably? | |
| May 3, 2021 at 13:10 | history | rollback | PM 2Ring |
Rollback to Revision 5
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| May 3, 2021 at 13:08 | history | rollback | PM 2Ring |
Rollback to Revision 6
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| Mar 26, 2021 at 17:39 | history | rollback | PM 2Ring |
Rollback to Revision 4
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| Mar 26, 2021 at 17:37 | history | edited | PM 2Ring | CC BY-SA 4.0 |
Removed Sage script because SageMathCell no longer allows downloading.
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| Mar 14, 2021 at 21:37 | history | edited | PM 2Ring | CC BY-SA 4.0 |
Added Sage code link for 3D graph
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| Jan 8, 2021 at 5:33 | history | edited | PM 2Ring | CC BY-SA 4.0 |
added 196 characters in body
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| Jan 8, 2021 at 5:00 | history | edited | PM 2Ring | CC BY-SA 4.0 |
Directly linked SVG, converted both image links to imgur
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| Nov 2, 2018 at 11:09 | comment | added | uhoh | Thank you for your edit here! Seeing my mistakes that you fixed made me laugh out loud in a library :o | |
| Oct 16, 2018 at 10:30 | comment | added | David Hammen | @SunSis - The correct answer is in this answer: "the Sun's motion with respect to the system's barycenter is not a simple closed curve, and it doesn't have a simple period." By insisting on a simple period, you are demanding an answer that doesn't exist. | |
| Oct 16, 2018 at 1:16 | comment | added | PM 2Ring | @sunSis It varies quite a bit, but it's roughly 12 years. | |
| Oct 16, 2018 at 1:11 | history | edited | PM 2Ring | CC BY-SA 4.0 |
added 323 characters in body
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| Oct 16, 2018 at 1:08 | comment | added | sunSis | In years (see OP) | |
| Oct 16, 2018 at 0:56 | history | answered | PM 2Ring | CC BY-SA 4.0 |