Quoting Steven Jones <steven@xxxxxxxxxxxxxxxxxxxx>: > > > > Regner Trampedach wrote: > > > > To calculate the Moon's orbit (or any Solar system body's) accurately, > > you have to perform the many-body calculation of most of the Solar system. > > That is straight forward, but costs a bit in computing time. That's how > > it is done. > > The three-body problem cannot be solved analytically, but it is, again, > > straight forward to do numerically. You program all the forces, e.g., > > gravity, tidal forces and tidal friction, in the Solar system case, and > > supply the starting positions and velocities, and then you advance time > > and see how it evolves. The accuracy would be determined from running the > > simulation backwards in time and compare with observations. All the cycles > > of the Moon's orbit will be accounted for by this procedure, if all the > > relevant physics is included in the model. > > A physical model is not restricted to an analytical formulation of the > > problem - that is most often not possible. > > I do not know the innards of Starry Night, but my bet would be that it is > > based on a parametrized version of the above. So indeed a table, but based > > on many-body simulations covering both the past and the future. That is my > > bet - not a statement of absolute truth. > > > > How much do you want to bet on that? :-) Why would you > need to do exhaustive calculations which you claim possible if you had > a table? > > Steven. > Tables based on observations (necessarily from the past) will have limited predictive (of the future) power. If you want to predict what happens in a thousands of years, or you need your results with very high precision, a couple of years into the future, you would need the simulation. - or tables "handed down to us by divine powers". Regards, Regner > > - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - > - > > > Quoting Steven Jones <steven@xxxxxxxxxxxxxxxxxxxx>: > > > > > > > > > Regner Trampedach wrote: > > Steven Jones, > > If we don't have a mathematical model of the Lunar orbit around the Earth, > how on Earth (sorry for the pun) would we be able to make such lookup > tables? > Or were they handed down to us by divine powers? > > > Simple, the look-up tables are simply based upon the last 200 > years of accurate observations relative to the Earth. By means of > referencing them we can accurately go a couple of thousand years into > the past or future with an error-margin of course. This does not > constitute having a mathematical model, no-one on Earth has yet brought > one forward. What about the three body problem also? > > > > You forget Regner that just because I don't happen to go to a > university or have a qualification, you are actually speaking to one of > the best geocentrism experts in the world, and someone who is also > familiar with computer programming having co-developed GU 3. Redshift, > Starry Night, they are all the same, the moons motion is predicted by > means of a table, it is not calculated on anything other than a table! > > > > You should know that the moon's orbital period is known as a Sidereal > Month, 27.321661 days. Sounds simple doesn't it, but it isn't! This is > an average, because even in your model many factors come into play. > Your very own heliocentric model will give you a hell of a time if you > try and work it out, it's not just the moon cycling from new moon to > new moon, because the Earth itself has moved and by your own admission > the Earth's orbit is also slightly elliptical. Do you really know what > your talking about on this? Do > you know the difference between Sidereal, Anomalistic, Synodic, Draconic, > Saros and the Tropical > lunar month? All of these play a part in helping to understand the > motions of the moon, but as yet, no-one has put them altogether to > create a model of the orbit! It's just so unpredictably variable. The > dynamic range of a synodic month is is between 29.27 > to about 29.83 days, and for now this is pretty much as good as it all > gets, but this is not good enough for a mathmatical model that can > predict without err when the moon will rise. Newton himself spend a > great-deal of time on this, but claimed it gave him a headache. > > > > Steven. > > > > You usually want the Lunar orbit around the Earth, with respect to the > Earth. > Of course you could just as well calculate the Lunar orbit around the Earth, > with respect to one of Saturn's moons. But that is not particularely > interesting > for us as humans. > You can choose any reference frame you want. That is your privilege as the > one doing the calculation. If you choose an inertial frame, then it's easy; > all the laws of physics are unchanged. If you, e.g., choose a rotating > reference > frame - like the Earth, according to HC - then it gets more complicated, but > still very doable. You just have to include all the fictive forces arising > from that coordinate transformation, such as centrifugal and Coriolis > forces. > There is NOTHING dubious about choosing the Earth as a reference frame for > a > calculation and still adhere to HC. > Somebody on this board (I don't remember who) once leaked the hush-hush > secret that NASA were doing their calculations referenced to a stationary > Earth. NASA, as well as ESA and JAXA, etc., obviously choose the Earth to > be the reference frame and there is nothing secret or dubious about that. > Also > obvious, is that they include all the fictive forces from that coordinate > transformation. > > Regards, > > Regner Trampedach > > - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - > - > > > Quoting Steven Jones <steven@xxxxxxxxxxxxxxxxxxxx>: > > > > > > > > > philip madsen wrote: > > > DIV { > MARGIN: 0px > } > > > > > > Phillip, currently, no-one on Earth can give you an accurate model > predicting the orbit of the moon without the use of "look-up" tables > which are all geocentric based. No need to attack Allan in this way. > He's a bright cookie! > > > > Steven. > > > > > Dear Paul, > Why did you find it necessary to patronise Regner in that way? > Regarding the 'real thing' what in heavens name > is Regner doing that no-one else is? > Â > Jack > Â > Well from my view, Regner is a professional > Astronomer, I'm not even an amateur..But I got Wiki and a million web > sites to help me follow his words. . > Â > And Allen cannot even tell us how many > rotations the moon has. > Â > I dare not ask him the next question > concerning the axes of the moons rotations. > Â > Philip. > > > > > > > > > > > > > > > > > > > > > > > > > > > > >