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Flyby Anomalies Explained?

05/20/2009 5:39 AM

The 'flyby anomaly' is a tiny and hereto unexplained extra velocity boost that a spacecraft gets, over and above the expected gravity-assist boost when performing a correctly oriented flyby of a planet. The largest anomaly so far was recorded for NEAR, whose velocity changed 13 millimeters per second more than it should have.

Earlier this year, a group of JPL researchers that had been working on the problem for years basically threw up their hands, saying they hoped other physicists could come up with a solution. They had concluded the anomaly was too large to be explained by known effects related to Einstein's general theory of relativity. But a new paper by Jean Paul Mbelek of Service d'Astrophysique, France, proposes that Special Relativity may explain everything.

Abstract: "The empirical formula proposed by J. D. Anderson et al. [1] to reproduce the data on the Earth flyby anomalies is derived from special relativity (SR). The transverse Doppler shift together with the addition of velocities account for the Doppler data. Time dilation together with the addition of velocities account for the ranging data."

It's a short paper and an easy read. If accepted, it is amazing that so many people worked for so long, just to be fooled by an incomplete incorporation of well-known relativistic effects.

-J

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#1

Re: Flyby Anomalies Explained?

05/20/2009 6:09 AM

It's a short paper and an easy read.
I'll agree it's short... but being a cat with a furry brain, I might have to pass on following through the maths, unless maybe I print it out and sit on it and stare really hard....
It's nice to see solidly applied maths/physics explaining stuff.
Interesting that it wasn't correctly predicted before the observation, this brings up the old tensions between empirical and thoeretical...
generally resolved by arm wrestling, problem is do we use theoretical arm wrestling or empirical?

Del
(I might actually print it out and see if I can follow it at the weekend...)

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#2

Re: Flyby Anomalies Explained?

05/20/2009 8:04 AM

I'll pull it down - thanks for the link

Is this a silo problem in which newtonians didn't think to look for relativistic effects at sub-light speed?

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#5
In reply to #2

Re: Flyby Anomalies Explained?

05/20/2009 8:25 AM

Only a partial 'silo problem', I think. JPL uses an approximation for the relativistic effects, because a full implementation is pretty complex and eats computer cycles, especially on the older generation of space-worthy computers. Should not be a problem with modern computers.

Management are probably reluctant to allow modifications to well-proven software. If the Mbelek analysis stands up to scrutiny, they will have very red faces!

-J

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#3

Re: Flyby Anomalies Explained?

05/20/2009 8:08 AM

Interesting! And just think . . . All these years the scientists at JPL have been using faulty math to predict the velocities of flyby spacecrafts. At least now they know how to predict new velocities!

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#7
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Re: Flyby Anomalies Explained?

05/21/2009 3:26 AM

I wonder if the curent Challenge Question came off their drawing board

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#8
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Re: Flyby Anomalies Explained?

05/21/2009 6:45 AM

It's interesting how much debate such a "nonsense" challenge can invoke!

On a more serious note, I think it is possible to gain orbital energy from the Sun by a slingshot, but for interplanetary missions, it is a feeble amount, based upon the Sun essentially orbiting the Sun-Jupiter barycenter. Problem is the Sun's movement is very slow (~74 meters/second) in that frame. It is better to use a planet for that.

However, for interstellar missions, the Sun has > 200 km/s orbital speed in the galactic frame of reference and as I estimated, one can get about 10% of that as a gravity-assist boost if you arrange things correctly. One snag is that you must already have solar escape velocity when you arrive at the closest approach, which is difficult to obtain practically. It is however possible by using planetary flybys first, as the Voyager and Pioneer spacecraft did. They did not go to the Sun, but did escape the Sun, so they got enough delta-V from the planets to exceed escape energy.

-J

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#9
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Re: Flyby Anomalies Explained?

05/21/2009 7:49 AM

Hi Jorrie,

Yep, such things can sure stir it up ! A lot of fun, though. If we ignore the seeming absurdities, they provide a good excuse to read up on topics we'd not usually find ourselves looking at (well, the likes of me anyway !). I've peeked at a fair number of other sites reading about different flavours of 'flyby', the various probe missions, orbits (space and visual), as well as trying to comprehend a few geometric digressions. All unlikely to be of direct use to me, but good general learning/brain exercise.

If I've understood correct, simple physics preclude the idea from happening within our solar system. Apart from relative motion, there are a lot of aspects I wish I could devote more time to looking into. I spent a while looking at planetary flyby's, and it was interesting to read how some missions were altered due to various mishaps. I couldn't find a comprehensive listing of flyby height for all missions (). It's fascinating to read of these complex missions, which rely on such straight-forward basic equations.

This is probably an idiotic flight of fancy, but I'm not one to let such things hold me back; If Shoemaker-Levy had been assumed to be an approaching rocket, and if you had been it's pilot, could you have fired a thruster so as to miss Jupiter, see 80% of it, and disappear toward the edge of the solar system? Completely absurd, but I was wondering about comparisons to the Challenge Question. If there's any sense in that question, feel free to make me pilot in the answer ! I meant 'you' in the meaning that you'd know if it were possible - my own absence would be less damaging to CR4's expert base !

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#11
In reply to #9

Re: Flyby Anomalies Explained?

05/21/2009 2:54 PM

Hi Kris, you wrote: "If Shoemaker-Levy had been assumed to be an approaching rocket, and if you had been it's pilot, could you have fired a thruster so as to miss Jupiter, see 80% of it, and disappear toward the edge of the solar system?"

I think most of the same problems as discussed in the Challenge Question arise. Apart from that, if you have virtually unlimited power, you can avert falling in from almost any distance outside the primary body. The farther out you fire the thruster, the less powerful it needs to be.

This is the same as trying to avert disaster from an Earth-bound comet or asteroid. Since it will typically be very massive and we have very limited power, we need to nudge it at a great distance.

-J

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#16
In reply to #11

Re: Flyby Anomalies Explained?

05/22/2009 1:52 AM

Thanks Jorrie,

I was trying to sneakily see if you knew of the closest flyby (in respect of 'closest' meaning greatest angular view of the 'orbited' planet). Some of the probes seem to have gone close to planets; even though not 'slingshot', the passage seemed a bit similar. ie, with some trajectory tweaks + available power they might have gotten a very large angular view whilst skittering past ? There was one in particular that I came across, but I can't remember which (!) - it was an instance where plans had to be changed - in which the distance was of the order of 100s' of miles.

There was interesting news recently of a meteor impact. Interesting in that it had been tracked prior to hitting Earth. I know nothing of the speed of such space objects, bit it makes me wonder if other planets (ie without atmosphere) have had flyby objects that approximate the nature of that Challenge Question. Sorry - I've gone a bit off topic for your thread here . I shall way to do some more reading on the topic !

Cheers

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#4

Re: Flyby Anomalies Explained?

05/20/2009 8:20 AM

And is this related to the recently observed problems with trajectory wrt Voyager/Pioneer?

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#6
In reply to #4

Re: Flyby Anomalies Explained?

05/20/2009 8:40 AM

You are thinking of the "Pioneer anomaly"? It is probably unrelated, because it did not happen at a flyby, but gradually over a long period.

Personally I think this anomaly is systematic, something to do with the nuclear power plants on board the spacecraft. It could also perhaps have a cosmological origin.

-J

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#10
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Re: Flyby Anomalies Explained?

05/21/2009 10:43 AM

"something to do with the nuclear power plants on board"

Mmmmmm. Would you care to elaborate on your theory?

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#12
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Re: Flyby Anomalies Explained?

05/21/2009 3:00 PM

Hi BM.

The electrical power plants generate a lot of waste heat to be dissipated in the form of radiation. That's apart from the equipment using the electrical power also generating some heat. The heat radiation is never isotropic, so there should be a directional acceleration due to rebound from the radiation. JPL acknowledge this, but say it is very difficult to model the heat radiation direction with any confidence.

-J

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#13
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Re: Flyby Anomalies Explained?

05/21/2009 4:39 PM

Jorrie, am I following that this is a form of a frame dragging phenomena caused by the twisting of space/time in a gravitational field?

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#14
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Re: Flyby Anomalies Explained?

05/22/2009 12:14 AM

Hi Rorschach, no, neither of the 'anomalies' (flyby or Pioneer) is caused by frame dragging. The relativistic frame dragging is there, but orders of magnitude too small to explain the observed effects.

-J

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#15
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Re: Flyby Anomalies Explained?

05/22/2009 12:41 AM

Sorry, I knew the Pioneer one wasn't, I just wasn't clear in the way I asked the question. Sorry to mislead.

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#17
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Re: Flyby Anomalies Explained?

05/22/2009 10:40 AM

"The heat radiation is never isotropic, so there should be a directional acceleration due to rebound from the radiation."

If the radiation is anisotropic, would not the direction of the acceleration be random, resulting in an "extra velocity boost" in some instances and a velocity reduction in others?

Bill Morrow

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#18
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Re: Flyby Anomalies Explained?

05/22/2009 12:10 PM

Hi BM, no anisotropic does not quite mean random, but with a preference, if you like, for a specific direction, depending on the design of the radiators and any absorbing or reflecting surfaces on the spacecraft.

-J

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