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Constraints on the location of a putative distant massive body in the Solar System and on the External Field Effect of MOND from recent planetary data

Lorenzo Iorio
(Submitted on 13 Jan 2011 (v1), last revised 19 Jan 2011 (this version, v3))
Abstract: We analytically work out the long-term variations caused on the motion of a planet orbiting a star by a distant, pointlike massive object X. Apart from the semimajor axis a, all the other Keplerian orbital elements of the perturbed planet experience long-term variations which are complicated functions of the orbital configurations of both the planet itself and of X. We infer constraints on the minimum distance d_X at which the putative body X can exist by comparing, first, our prediction of the long-term variation of the longitude of the perihelion \varpi to the latest empirical determinations of the corrections \Delta\dot\varpi to the standard Newtonian/Einsteinian secular precessions of several planets of the solar system recently obtained. Independent teams of astronomers estimated them by fitting accurate dynamical force models$-$not including the action of X itself$-$to observational data records covering almost one century. Then, we numerically compute the perturbations induced by X on the range \rho, the right ascension \alpha and the declination \delta of Saturn. We compare them with the latest residuals produced by analyzing records of radiotechnical data from the Cassini spacecraft spanning some years. Tighter constraints on d_X are, thus, obtained. The combined use of all the methods adopted yield the following lower bounds on d_X for the assumed masses of X quoted in brackets: 141-281 au (Mars), 300-600 au (Earth), 771-1542 au (Neptune), 2037-4074 au (Jupiter), 8784-17568 au (brown dwarf with m_X = 80 m_Jup), 16434-32868 au (red dwarf with m_X = 0.5 M_Sun), 20709-41418 au (Sun). Alternative strategies which could be followed are pointed out. Constraints on the adimensional parameter -q of the External Field Effect within the MOdified Newtonian Dynamics are obtained from the range residuals of Saturn: it turns out -q\approx 0.01-0.04 (at 1/3-\sigma level of rejection).
Comments: LaTex2e, 33 pages. 7 figures, 6 tables. Secular precession of the argument of perihelion added
Subjects: General Relativity and Quantum Cosmology (gr-qc); Earth and Planetary Astrophysics (astro-ph.EP); Space Physics (physics.space-ph)
Cite as: arXiv:1101.2634v3 [gr-qc]
http://arxiv.org/abs/1101.2634v3

Submission history

From: Lorenzo Iorio [view email]
(http://arxiv.org/auth/show-email/0ebf6232/1101.2634)
[v1] Thu, 13 Jan 2011 19:07:43 GMT (4412kb)
http://arxiv.org/abs/1101.2634v1
[v2] Fri, 14 Jan 2011 15:46:13 GMT (4412kb)
http://arxiv.org/abs/1101.2634v2
[v3] Wed, 19 Jan 2011 19:30:13 GMT (4412kb)

http://arxiv.org/abs/1101.2634

http://www.nowpublic.com/tech-biz/g1-9- ... arf-star-6

http://beforeitsnews.com/story/79/402/G ... r_Sun.html

http://www.stormfront.org/forum/t730961/

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Location: 2 Thirds Down The Bottle

Did you think that all by your self?
I like to shuffle the cards. Apperthy is a killer. http://criticalbelievers.proboards.com/

Posts: 325
Joined: Sun Jan 03, 2010 9:22 pm

toxic32 wrote:Did you think that all by your self?

Dumb-ass comment...

Posts: 123
Joined: Mon Oct 25, 2010 10:29 pm

Ahhm is there something? Is this Nibiru/Planet X? Looks weird!!

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savwafair2012 wrote:[

/

you took VONHELLTON AS A SOURCE haha
this is his cousin and he is even smarter

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Joined: Sun May 02, 2010 10:32 pm

The brown dwarf star they annonced isn't Nibiru. Nibiru is one of the seven planets rotating around it.

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will69ease wrote:The brown dwarf star they annonced isn't Nibiru. Nibiru is one of the seven planets rotating around it.

Its called Nemesis isn't it.?

RIK
"Theres A Storm Coming!"

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will69ease wrote:The brown dwarf star they annonced isn't Nibiru. Nibiru is one of the seven planets rotating around it.

ur right its not its one of the planets though i think the seven includes moons, also i cnt remember where i herd it but apparently theres an earth like planet and niburu is another planet orbiting it however niburu is supposed to be like an out post or sum sh*t cuz its too messed up to live on permanently

When people are sat on something you want you make them an enemy

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Location: Neutral Zone

Maybe that native guy, that posted a while ago here, was right after all.
The earth will be pulled out off this orbit into another by this brown dwarf one and we loose the moon,
oh men what a ride.