Mercury Science |
Mercury Science |
Nov 16 2005, 02:28 PM
Post
#1
|
|
Senior Member Group: Members Posts: 2454 Joined: 8-July 05 From: NGC 5907 Member No.: 430 |
Astrophysics, abstract
astro-ph/0511419 From: Stan Peale [view email] Date: Mon, 14 Nov 2005 22:21:56 GMT (314kb) The proximity of Mercury's spin to Cassini state 1 Authors: S. J. Peale Comments: 23 pages,12 figures, In press in Icarus In determining Mercury's core structure from its rotational properties, the value of the normalized moment of inertia, $C/MR^2$, from the location of Cassini 1 is crucial. If Mercury's spin axis occupies Cassini state 1, its position defines the location of the state. The spin might be displaced from the Cassini state if the spin is unable to follow the changes in the state position induced by the variations in the orbital parameters and the geometry of the solar system. The spin axis is expected to follow the Cassini state for orbit variations with time scales long compared to the 1000 year precession period of the spin about the Cassini state because the solid angle swept out by the spin axis as it precesses is an adiabatic invariant. Short period variations in the orbital elements of small amplitude should cause displacements that are commensurate with the amplitudes of the short period terms. By following simultaneously the spin position and the Cassini state position during long time scale orbital variations over past 3 million years (Quinn {\it et al.}, 1991) and short time scale variations from JPL Ephemeris DE 408 (Standish, 2005) we show that the spin axis will remain within one arcsec of the Cassini state after it is brought there by dissipative torques. We thus expect Mercury's spin to occupy Cassini state 1 well within the uncertainties for both radar and spacecraft measurements, with correspondingly tight constraints on $C/MR^2$. http://arxiv.org/abs/astro-ph/0511419 -------------------- "After having some business dealings with men, I am occasionally chagrined,
and feel as if I had done some wrong, and it is hard to forget the ugly circumstance. I see that such intercourse long continued would make one thoroughly prosaic, hard, and coarse. But the longest intercourse with Nature, though in her rudest moods, does not thus harden and make coarse. A hard, sensible man whom we liken to a rock is indeed much harder than a rock. From hard, coarse, insensible men with whom I have no sympathy, I go to commune with the rocks, whose hearts are comparatively soft." - Henry David Thoreau, November 15, 1853 |
|
|
Feb 3 2011, 05:47 AM
Post
#2
|
|
Member Group: Members Posts: 903 Joined: 30-January 05 Member No.: 162 |
Googling "Mariner 10 orbit" and checking the images, (it's the first one tonight) will show the 176 day orbit diagram. It has aphelion further out from the sun than Venus. Intuitively, just glancing at that diagram, suggests an aphelion for the 264 day orbit that is going to be a nice bump further out than that. (And I realize that doesn't help with the calculations)
Like I said, sorry I can't do the math, but I really appreciate those that can. Does the perihelion velocity for the 176 and the 264 day orbits 'pop out' of the calculations easily? (It would give an ~ idea of the Mercury encounter speed of the craft) |
|
|
Lo-Fi Version | Time is now: 27th September 2024 - 04:07 AM |
RULES AND GUIDELINES Please read the Forum Rules and Guidelines before posting. IMAGE COPYRIGHT |
OPINIONS AND MODERATION Opinions expressed on UnmannedSpaceflight.com are those of the individual posters and do not necessarily reflect the opinions of UnmannedSpaceflight.com or The Planetary Society. The all-volunteer UnmannedSpaceflight.com moderation team is wholly independent of The Planetary Society. The Planetary Society has no influence over decisions made by the UnmannedSpaceflight.com moderators. |
SUPPORT THE FORUM Unmannedspaceflight.com is funded by the Planetary Society. Please consider supporting our work and many other projects by donating to the Society or becoming a member. |