[or: what keeps me up at night]
As you will see in the next post, I think Planet Nine is really out there. But that doesn’t mean you should think it is out there. You might be skeptical. In fact, I would prefer that you were skeptical. I would prefer that you read the scientific paper, looking for potential flaws, caveats, and places where we might have been led astray. But, OK, I understand that the actual scientific paper is on the weighty side, so, rather than make you wade through it finding the potential piutfalls, instead, I will give you my top list of things that might be wrong.
As you will see in the next post, I think Planet Nine is really out there. But that doesn’t mean you should think it is out there. You might be skeptical. In fact, I would prefer that you were skeptical. I would prefer that you read the scientific paper, looking for potential flaws, caveats, and places where we might have been led astray. But, OK, I understand that the actual scientific paper is on the weighty side, so, rather than make you wade through it finding the potential piutfalls, instead, I will give you my top list of things that might be wrong.
First, though: what is not
wrong.
If there is an
approximately 10 Earth mass planet on an extremely elliptical orbit in the
outer solar system, it would definitely line up the orbits of Kuiper belt
objects with similarly elongated orbits, it would create Kuiper belt objects with
orbits twisted by 90 degrees to the planets of the solar system, and it would
make objects, like Sedna, which have elongated orbits which don’t ever come
close to the rest of the Kuiper belt. These effects we now know from a general
mathematical analysis and from detailed computer simulations to double-check
the mathematical analysis. This analysis, I am confident to say, is iron-clad.
Astronomers will try to reproduce it (I hope), and they will get the same
results (I know). There truly is no wiggle room here. A 10 Earth mass planet
does exactly all of the things that we are trying to explain.
If I am so confident of this, how could Planet Nine possibly
not exist? Just because Planet Nine can explain all of these effects, it
doesn’t not mean that there is no other possible explanation. We tried to think
of everything that we could, and systematically ruled out alternatives, but
that doesn’t mean that someone else won’t come up with an idea that works.
Again, I hope that there are skeptical astronomers working right now to come up with alternatives. I am confident that they
will not come up with them (because I do actually think we considered
everything that could possibly be out there), but, unlike my statement above, I
will definitely not say that this one is iron-clad. Aluminum-clad, maybe.
Stainless steel, perhaps. I’d be willing to bet a lot of money against the idea
that someone will find an alternative explanation for all of the effects that
we are seeing. But it is possible I could lose.
There is one insidious way in which we may have been fooled
into thinking that Planet Nine exists, however, and it is a problem that
permeates all of experimental science. My single biggest worry is that perhaps –
just perhaps -- we have been fooled into seeing a pattern where none exists.
Humans excel at recognizing patterns, even when they are not there (see:
everything single face-on-Mars claim ever, for example). Could we have been
similarly fooled? Absolutely (again: I don’t think we have been, for reasons
detailed in that next post, but is it possible? Of course). Here’s how:
In our analysis, we show that the six most distant objects
that have orbits extending outward from the Kuiper belt all line up within a
100 degree quadrant and all have orbital planes which are tilted away from the plane
of the planets by about 20 degrees (and within 6 degrees of each other). From
some very simple calculations we can show that the probability of these
alignments happening due to chance is only about 0.007%. You could also say
that there is a 99.993% chance that the alignments we are seeing in the outer
solar system are real, and that we are not simply being fooled into seeing a
pattern where none exists.
But, really, if you said that, you’d be wrong. Real
statistics don’t work that way. You can’t, for example, flip 100 coins, realize
that 10 of them in the far upper right corner all turned up heads and then say
“wow; the chances of 10 heads in the far upper right corner is only one in 1024
so something must be happening up there.” And if you flipped all of the coins
again, chances are you wouldn’t get 10 heads in the far upper right corner (in
fact, chances are 1 in 1024). The real statistical question that you should be
asking at the first coin flip is more like “what is the probability that
something that seems anomalous will appear just due to chance?” That question
is essentially impossible to answer, because it relies on knowing what a human
who is looking for anomalous patterns would call anomalous.
There are two good ways to combat these sorts of flawed
statistics. The first I just mentioned above: replicate the experiment and look
for the same result. Your eye and brain might pick out a random pattern from
the noise one time, but the same pattern will not occur again. You might see
different patterns, but that just shows you how easy it is to find patterns in
data.
How do we replicate the finding that the most distant
objects in the outer solar system are unusually aligned? We find more of them.
If the alignment was just random pattern finding by easily fooled humans, it
will quickly go away when the next half dozen objects are discovered. And while
it took 12 years to discover the first 6 aligned objects, the next few should
be much faster, as telescopes and surveys continue to get bigger and more
powerful. One caveat: our computer simulations do not predict that 100% of the
most distant objects will be clustered. Just the vast majority. So finding one
or two outside of the cluster is not the end of Planet Nine. But finding the
next six objects randomly distributed around the sky would be a pretty clear
indication that we fell into the pattern-matching trap and that Planet Nine is
a fantasy. The Planet Nine hypothesis makes strong predictions, and these can
be used to show that the hypothesis is wrong, if it is.
The second way to combat the flawed statistics of pattern
matching is to use your explanation for the pattern that you see to predict
something entirely unrelated to the pattern. In our example of the coins above,
you could hypothesize that the explanation for all of the coins coming up heads
in one spot on the table is that there is a powerful magnetic field in that one
location of the table (ok, I’m not sure how that could make things come up all
heads, but work with me on this one). You could then make predictions. Perhaps
you would predict that a set of ball bearings placed on the table would
systematically roll towards that location. Or something. The key is that the
prediction is something that you don’t know the answer to ahead of time, is not
directly related to your original observation, and has a low probability of
occurring on its own. Here you are not replicating the experiment but are
instead performing a different experiment and predicting a very specific
answer.
Our hypothesis passed this test with flying colors – in my
opinion – with the prediction and subsequent realization of the existence of
what we call the distant twisted orbits (maybe we need a better term for these;
definitely we need a better term for these). But maybe it’s all just a bigger
case of pattern matching? Such an explanation begins to get unlikely, but now
we have a second set of objects that can be replicated, and we’ll all be
watching the results come in.
There is one other more mundane in which we can be “wrong.”
Given the small number of objects and our, currently, limited number of
computer simulations (“limited” here still means ~6 months of super computer
time, but we haven’t had time to precisely explore all of the possible
parameters of Planet Nine), it is possible that our estimates are not precisely
correct. Maybe Planet Nine js 20 times the mass of the Earth instead of 10.
Maybe it is actually a giant terrestrial planet instead of a small gas giant.
Maybe it is slightly further away or tilted into a slightly different plane.
These tweaks are OK. We would still say
that the Planet Nine hypothesis is correct.
If, however, a planet is found beyond Neptune and it is
totally different from what we have described, if it exists, but it fails to
cause the basic gravitational interactions that we have discussed, then, quite
simply, we are wrong. We are not predicting that there is some planet beyond Neptune, we are predicting that there is this planet beyond Neptune and it is
causing these effects on the outer
solar sytem.
Now, finally, is what you can tell your friends and family
to impress them by your informed skepticism of the Planet Nine hypothesis:
“I worry that they have underestimated the likelihood of
finding an intriguing pattern in the orbital data and that they have just been
fooled into finding a pattern where there is none. I am waiting for the next
few discoveries of distant object to see if they, too, have aligned and twisted
orbits like the theory demands. And, for now, I am also running some computer
simulations to check some ideas I have about other ways that the patterns can develop.
Ask me again in six months.”
Out of curiosity, do you have the simulation code available anywhere?
ReplyDeleteThis would be very helpful for both: verification by scientists and a learning experience for people who never even seen simulations like that.
DeleteWe run everything using the very standard mercury N-body simulation code as found, for example, here:
Deletehttp://www.arm.ac.uk/~jec/home.html
The ninth planet does exist. It already has a name, its Pluto. With the findings of the recent Pluto fly-by Pluto acts more like a planet than some of our other 8 planets. So I guess we are searching for the tenth planet. This planet, should it exist, is so far away that it is in perpetual darkness and unless it has a sizeable hot core its surface is frozen solid as well as the gases, if they are any, of the atmosphere. So Nibiru, it is not. We might call it planet Sitchin if it is finally found because it will be as far out as he was.
DeleteIt is not a pseudoplanet of 'Nibiru'-type (enters the inner system) or 'Nemesis'-type (enters the Oort cloud). In fact, it both fails these ideas yet again and cuts down on their remaining gaps. (Though I must not that using myths on the one hand, and supposed extinction patterns on the other where there are none - see Alroy's autocorrelation analysis of the extinction record - seems failed at the outset. (O.o))
DeleteNor is it a pseudoplanet of the more conventional "disturbance" type of Vulcan (Mercury)/Planet X (Neptune type). Pluto was one of those, but the very basis for the claim is also gone. It has been proposed to use the observed clearing of the orbit - which is necessary for old planets, but also is seen in systems with remaining disks - to unify definitions of our planets with exoplanets.
If you insist to call a miniature body for 'planet', it is either not relating to astronomical classifications (astrophysicists do this all the time) or it is for personal sentimental reasons. Go ahead, break a mirror (or whatever astronomers say)! ;-)
Great post.
ReplyDeleteAre there any two-planet explanations for the behavior of the KBO's?
None currently required. But not impossible.
DeleteM42 and our Sun with planets from X aphelia cca 300AU in right scale http://senmut.webs.com/nibiruorbitcarpetplanets.gif
ReplyDeleteactually the same is also on: http://senmut.webs.com/nibirubigsenmutchinabig.gif because this is also YGGDRASIL-WORLD TREE from nordic legends,..
Hi,...finaly it is out,....what I supposed too 12years ago,... http://senmut.webs.com/nibirucrosstext.gif … When I made also simulations in WINORSA nobody wanted to believe,... Pavel Smutny
You can find by me proposed coordinates also in this discussion: http://www.universetoday.com/29083/constraining-the-orbits-of-planet-x-and-nemesis/
ReplyDeletehttp://www.lulu.com/shop/pavel-smutny/ancient-egypt-and-2012/paperback/product-16951885.html
maybe my the most big mistake was too big mass of X in simulations,... but not of Nemesis,...
Is that 'Nemesis' of the extinction pattern search idea? Alroy rejected that with more fossil data and better statistical methods (autocorrelation analysis) already 2008 (IIRC; a PNAS paper I'm quite sure). Also, see my response to Brig why this makes it so much harder for this type of ideas if Planet Nine is found.
DeleteNames have meaning, so if you don't mean the arguably failed idea of 'Nemesis' you may better stick to "Planet X".
http://spaceweather.com/images2016/27jan16/cosmicrays_mar15_jan16.png?PHPSESSID=0eejd9rr5qmf39bhu10h5pab51 isnt it signal that something is closer to perihelia than year ago,..? http://senmut.webs.com/cosmic-ray-hot-spots.jpg
Deletehttp://senmut.webs.com/nibirueclipticorion.GIF
Nobody else gave explanation for where are those cosmic rays hot spots whereas from,..?! Nemesis 26000years orbit time, X 1300-2100years orbital time,... If you can give your explanations for where are those hot spots from Milagro cosmic rays survay from,..
I think that it is very important to explain right, where are those cosmic hot spots next to Orion (on both sides) from. Though are those hot spots places where from during mainly Spring and Outumn equinoxes are coming cosmic rays-mainly hi eccelerated protons from (X), or what else? If you want to find something, so it is good to look with telescopes, infrared telescopes on those hot spots. Especially on right hot spot-its prolongation during this Spring eqinox,....
DeletePavel Smutny
Many thanks for the great teaching on probability and stats, Mike, and on being an exemplar of the scientific method. It's helped me a lot, quite apart from anything to do with Planet Nine.
ReplyDeleteOh, BTW, as your resident proof-reader, for "wade through it finding the potential piutfalls," I suggest, "wade through it finding the potential pitfalls,"
Just a thought. Unless you feel strongly about piutfalls, which does have a nice ring to it. ;-)
If any scientist were to do a peer review of this paper would they also need 6 months super-computer time to verify the results?
ReplyDeleteProbably not. If there are a bunch of data, it is usually sufficient to test a random subset, and if those check out, assume that the rest are also good. There is math that tells how many tests are needed to reach a desired level of confidence.
DeleteAdditionally, the investigators might have needed 6 months to test a lot of possibilities, to hunt for the answers. Once they enumerate the answers, it is "cheap" for somebody else to verify that those answers produce the observed result.
A common theme in computer science is that it is often expensive to compute an answer, but cheap to verify one. This is a form of the P versus NP problem which remains an open question with a $1,000,000 prize available if you can solve it. (See https://en.wikipedia.org/wiki/P_versus_NP_problem for starters.)
(also, I'd like to point out that the paper WAS peer reviewed before it was published, of course!)
DeleteI have heard some scientists say there wasn't enough gas out there to slow Planet Nine down enough to go into orbit.
ReplyDeleteIf I understood it correctly, Planet Nine was first put on a very eccentric orbit by Jupiter or Saturn, not fully ejected. It would have returned into the region of the giant planets, but one of the Sun's sibling stars that was passing by accelerated it enough so its new orbit never went back into the inner system.
DeleteBeing ejected from the inner Solar System to ~1000AU does not require ejection from the outer Solar System (~70000AU). You just need a method to "lift the perihelion point" after being kicked outwards.
DeleteDefinitely an open question!
DeleteMy interest is astrobiology, so this open question is highly interesting. I hope people will work on the mechanisms and timing until PN can be tested as a planet observation. (Shades of Kepler's "candidate" vs "confirmed".)
DeleteWhen Batygin hypothesized early ejection, and settling due to other system's influences in Sun's birth cluster rather than drag effects, it puts the question front and center for me. Same as PN there is now a "candidate" fossil that dates to before 4.1 Ga, and Valley's latest zircon review (2015) predicts a habitable ocean before 4,.3 Ga. At the same time that this is in tension with a late bombardment, no zircons older than 3.5 Ga show the typical impact fracture patterns seen at e.g. Vredesfort at ~ 2 Ga.
If an early ejection - which plays nice with the Nice model - could be tied to the Nice model's Jupiter/Saturn resonance in time, the tension would go away. The early Oort cloud could have been developing and compact for much the same reason that kept Planet Nine in the system. Perhaps the Moon impact record (which hinges on absence of contamination re dating) is integrated over the long tail of the disk clearing. (Someone with impact chops may work on that too! X's fingers.)
A series of circumstances, but so are the late bombardment mechanism...
The problem is that it is now totally impossible to simulate the formation of our solar system and all of the interactions (internal and external) that have occurred since its inception.
ReplyDeleteWhat we can do, however, is begin to consider the idea that our solar system was at least initially part of a binary system, and that the anomalies we observe are in part due to the complexities of binary solar system development.
All of our mythologies tell us that this was indeed the case (although the twin may no longer be with us). In myth, there is both a 12th/"Benjamin"/"Horus" planet (which could be Brown's "Planet 9" or simply Sedna and its ETNO "followers"), AS WELL AS a failed twin/"Esau"/"Apophis" star that "separated" from our own "Jacob/Atum-Re" star under influence of a large "Laban" star.
I applaud Mike's efforts to find more objects and for continuing to push the issue despite the lackluster support from his colleagues.
http://www.domainofman.com/boards/index.php?topic=128.0
The solar system wasn't formed, it was created by God about 6,000 years ago. Short period comets prove a young solar system. And there are many other proofs.
DeleteI would like to see an animation of two objects in an anti-aligned resonant orbit.
ReplyDeleteI don,t follow all the complex maths but wonder if we can rule out the 20* inclination as being due to pertubation from a passing star or even capture of these distant objects from a smaller star ?
ReplyDeleteNO: it could be true.
DeleteI have been wondering (from a layperson standpoint, not as a scientist) – Sedna and these other objects whose clustering appears to indicate the existence of Planet Nine are all near(ish) perihelion, correct? This, I imagine, is one of the reasons making it easier to discover them, since it’s easier to observe them near perihelion than when further away. However, given the extreme difference between the length of their orbits in comparison to the length of time we had the technology to observe such objects – there is a selection bias towards only observing those objects that are near perihelion.
ReplyDeleteCould there be far more objects like this with vastly different orbits, just we haven’t found them yet because they are far enough form perihelion that they are hard to detect? So in a sense – once we have a “complete” picture of these objects, could there appear to be no clustering at all – just the clustering we saw is because of a relatively limited window in time and detection capability?
Of course, I wondered if there are more of these with orbits all over the place – why aren’t any of them near perihelion now? Which got me wondering about a more complex idea (that is probably entirely wrong, again, I’m not a scientist). :)
Could it be that all of these distant objects are gathered together in similar but separate clusters? Perhaps with the vastly complex gravitational effects of a large number of these objects, they might self-organize into multiple clusters resonating with each other. So, if the “Planet Nine Cluster” has perihelion at 9:00 radially, then there is another cluster that is near aphelion right now that has perihelion at 3:00, and so on for 6 clusters or 10 clusters, or some such. (I imagine it’s a low number, because too many and some others would be near perihelion as well).
I know you checked for some self-organizing, but is it feasible/possible that with these objects, they are clustered close enough that their combined gravitational effect (and I will throw in maybe some hand-wavey resonance) creates the observed effect? So maybe there is a significant amount of mass out there in these objects, but it is in separate, small objects away from perihelion (and therefore difficult to see) but clustered somewhat near enough to each other that their gravitational effects can build up. (I’m reminded of pushing kids on a merry-go-round – a lot of little pushes timed right can work as well as fewer, bigger pushes).
Sorry, that wound up being longer than I expected and if I knew my astronomy better is probably full of holes. But it’s fun to theorize about possibilities. Good luck in being proven right! It is an exciting time.
There has been no other responses yet, so from a layman to another, I too considered the potential for a selection bias and so could reference your comment in mine further down the thread.
DeleteSo this is for the astronomers, but I think the paper (which I only browsed) claims the Kuiper Belt mass is too small for a clumping making the putative shepherding. Then it is hard to envisage clumping of any kind in the neighborhood, at a guess.
Question: Unless I've calculated the wrong thing, a New Horizons range signal for a Planet Nine with mass = 5mE and distance = 1000 AU would be about 500 times stronger than the one predicted for a 0,7mE object in a distance of 4500 AU, so as soon as it is on the correct course without the need of course correction (which would disturb the signal) it should be picked up much faster than the six years needed in Iorio's prediction.
ReplyDeleteAm I very wrong here? (And if not, are you already in contact with Iorio?)
And would accurately measuring the range signal be possible while New Horizons is still in the middle of sending Pluto system data back to Earth?
DeleteMostly I think NH is going the wrong direction. But it is worth looking into.
DeleteIt's near the opposite direction. But it would measure the difference of the effects Planet Nine has on Earth/Sun on one side and New Horizons on the other anyway. I think the worst case would be at right angle, but according to your treasure map Planet Nine would have already been found if it was there.
DeleteDid some back-of-the-envelope calculation with a simple acceleration formula, and now I get 3 meters after one year (44 EP9 - 41 NHP9) and 12 after two, for 5mE at 1000 AU distance - more if closer or heavier, of course. Still detectable, but not as good and fast as I thought from my shortcut. Hm.
DeleteEven though the range signal from New Horizons is supposedly accurate within 10 meters, what about the other end of the measuring stick? How accurately can Earth's position be fixed, and in what frame of reference, so that two NH range measurements taken years apart can be compared to one another meaningfully? Pioneer had a trajectory anomaly that was eventually explained due to varying radiation pressure on opposite sides of the vehicle. Modeling all the forces on New Horizons to look for a tiny anomaly could hard, and might take longer than just finding Planet Nine with a telescope.
DeleteCould "Planet Nine" be already found? Could those clustered objects be the remnants of a Planet Nine break-up or collision that happened some many Gyrs ago?
ReplyDeleteNope; they are clustered in perihelion, but with very different orbits. Not like a collision.
DeleteI've been studying the Moon with my Canon sr60x. I think I see telescopes there, at least long, cylindrical objects. Some of the telescopes align thus are probably looking at the same thing. Perhaps it is Planet 9 or Niburu? Whatever it is it is not in the planetary plane. It is southwesterly. Check my facebook site at "Life on Mars and the Moon", for a photo of what I am writing about.
ReplyDeleteIf planet IX exists maybe it was ejected with planetesimals and created their various orbits? The planet itself was too big to slow down and stay in the solar system.
ReplyDeleteWISE did not find Tyche
The "look elsewhere" effect - which traditionally only look for one pattern, but that is a start for quantifying it - is mooted in particle physics by increasing the quality limit from 3 sigma to 5 sigma. (Or as I just listened on a recent SETI talk, in Kepler planet search, which has some of the same problems, by going to 7 sigma.)
ReplyDeleteSo this explanation of that adding the 5 distant twisted orbits is pending is good to hear. Meanwhile I tried to estimate by two independent means, which seem to check out. Naively extrapolation puts the combined likelihood of being random data in the neighborhood of the required 1 in a million. And so does a simple binomial yes/no combo of 11 distant orbits with 2 independent orbit parameters. (Say, longest axis and one "twist" angle.)
[I would love to add the known phase of the orbiting bodies, but as Ken says in a previous comment, it can be a selection bias of observation capability.]
So I think it could be a real observation, not a result of excessive pattern search.
Thankyou eversomuch for this blog; it's a real privilege to see thoughts and musings from the professional astronomers at the center of the recent news. I for one am hoping that as many telescopes as possible can join the hunt.
ReplyDeleteDuring these early days there are lots of names being suggested... my personal fave is 'Nox' being the Roman equivalent of Nyx, goddess of the night.
Good luck to all involved.
My thanks too for sharing this moment.
ReplyDeleteA paranoid thought: If Mike's P9 suddenly disappeared, snatched at aphelion, how fast would the orbit-clustering of opposing bodies "decay"? And sorry if that was covered in the papers I havent read yet...
~100 million years
DeleteThis comment has been removed by the author.
ReplyDeleteIs the new planet at around 358.4 AU from the sun?
ReplyDeletemaybe?
DeletePlanet nine reminds me the planet of Dumusque in Alpha Centauri B. I wonder if these clustered KBOs are a bias due to the strategy of detection as well.
ReplyDeleteIf, as many believe, something seems to be perturbing the outer planetary objects and it is not Planet 9 and assuming that it cannot be our mythical dead twin-sun `Nemesis’ which as yet has never been found (if indeed it ever existed it perhaps should be a lot further out), then what is the cause – an anomaly with the data or can it be anything else?
ReplyDeleteNemesis is an obsolete idea from the 1980s. The clustering could be the result of a massive belt of objects even further out. But I still prefer the P9 concept as it is a cleaner explanation.
DeleteThis comment has been removed by the author.
DeleteAgreed. I also see the logic in the existence of Planet 9 but it is always wise and best practice to eliminate all other possibilities (even the most obvious) and subject the theory to close scrutiny before emotionally accepting the hypothesis. At the moment I also seem to be in the Planet 9 camp - but I'm sure that there is a lot more work to be done...
DeleteThis comment has been removed by the author.
DeleteThis comment has been removed by the author.
ReplyDeleteQuestion: What exactly is meant when you say Sedna would be back in the Kuiper belt eventually? An orbit like "Buffy"? Or a closer orbit? Or a still-excentric orbit, just with a much closer aphelion? What did the simulations show?
ReplyDeleteperihelion back int he Kuiper belt.
DeleteHmm...I'm a bit skeptical about finding planets 9, right now was found when the largely about Planet X...whether it is a coincidence??? Mr.Mike Brown???
DeleteSo, when planet 9 is finally confirmed, how will that info be released? Here, big press conference....?
ReplyDeleteIs there a Nineth Planet out there? YES.
ReplyDeleteIs this planet exactly as described by astronomers? NO, but completely diffrent. for example: if they said it,s cold, the truth is hot. far away, the truth isn't far away. that's because they try to be smarter than the God.
Java Assignment help Students sometimes get troubles with these assignments and projects. While Java is still a fair programming language as compared to other languages, it is still very complicated to make assignments and projects. Students often take Java Assignment Help from the online writing services to help them out from this difficult situation
ReplyDeleteIt is nice to read such high-quality content. It is a good article that discusses the topic at hand quite well. I am looking forward to read more articles from your site. Keep up the good work.
ReplyDeleteassignment help
Thank for the giving these outstanding information you have a post very good job such a lovely posting..
ReplyDeleteAllAssignmenthelp.co.uk Reviews
Hey, Your blog is very informative. It is nice to read such high-quality content. Dissertation providers deliver quality content related to your Dissertation. We also assist in history dissertation help.
ReplyDeleteThank you for sharing such a decent post
ReplyDeleteBrother Printer Support
brother printer customer care phone number
Our best persuasive speeches services are meant to transform the academic profile of any student from a downward trend to an upward trend in their grades.
ReplyDeleteGrab online thesis help from the experience writers of MyAssignmenthelp.com. Our writers are in huge numbers and all our years of expertise. That is why they know how to prepare student's academic papers. They also prepare their thesis paper as the requirements of student's universities and colleges. Get in touch with us today and enjoy submitting a unique thesis paper.
ReplyDeleteHey, Your blog is very informative. It is nice to read such high-quality content. Our dissertation helpers are well-versed with all the academic topics and always giving great writing for the students. Dissertation providers deliver quality content related to your Dissertation. We also provide psychology dissertation writing.
ReplyDeleteMy Assignment login or Assignment Help Australia are among the many services that Assignment Studio has to offer. The best assignment help in Australia by the in-house qualified and expert writers to the local and international students in Australia, so that scoring top-notch grades does not pose a problem for them
ReplyDeleteThis is Very very nice article. Everyone should read. Thanks for sharing. Don't miss WORLD'S BEST CARGAMES
ReplyDeleteThe students who are often in need for assistance in their assignment work are often led towards a trap by these so called online assignment help websites.
ReplyDeleteWhether the Essay Writer Services focuses on a single subject or compares two approaches, our Custom Essay Writer Services comes in with Legitimate Custom Essay Writers Services to complete the homework.
ReplyDeleteAnyone seeking high-quality Custom Papers Writing Services will want to hire a qualified writer to handle their Essay Writer Services on time and offer best Research Papers Writing Services.
ReplyDeleteOnline Biology Paper Writing Services produces different assignments, including Buy Essay Online Services, to help students deal with the Buy Business Reports challenges they face every day.
ReplyDeleteYou should take some time and evaluate the Custom Essay Writing Services and Cheap Custom Essay Services as most students buy Affordable Online Essay For Sale and get ripped off.
ReplyDeleteLooking for essay help online?. Want essay assignment help? Let’s have a look at our endeavors! MyAssignmenthelp AU have a range of professional writers ready to provide essay assignment help or essay help to the students presenting top quality essays, keeping in mind the instruction provided by their professors.
ReplyDeletePlanet nine always been a surprise to scientists. Maybe we step on planet nine like moon and other planets. By: Buy dissertation online
ReplyDeleteWe can help you whenever and where ever you want, We are giving services all over world and especially in Australia in following catagories: Assignment help – University of Sydney, Help with assignments in Melbourne – Deakin University, online assignment help – Queensland University of Technology, Perth assignment writing help – Edith Cowan University, Canberra assignment help – University of Canberra, Assignment help services – Flinders University and many more.
ReplyDeleteA Custom Writing Company should offer legitimate College Research Paper Services, Cheap Custom Research Paper Services and high quality Custom College Paper Services.
ReplyDelete