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SCIENCE & EVIDENCE ON NIBIRU, NEMISIS, PLANETX

Submitted by Zion on Thu, 04/07/2011 - 18:27


Kepler's laws are consequential to gravity, & evident in our solar system by orbital gravity controlled by the Sun. These laws accurately predict & estimate position over time for known & new orbits. This enables solving Planet X for position tiimes, perihelion timetable, mass & visibility, which can be estimated / updated on spreadsheets. Warning = Planet X precautions maybe necessary.

The orbital positions of planets have been predicted accurately over time for centuries now, & micro variations in expected orbits indicate the presence of gravity of an unknown planet. Such study was instrumental in the discovery of Neptune in the 1800s & Pluto in the 1900s. However the latter was a coincidence since Pluto's gravity is undetectably small on the outer planets. The question that was however never answered, was that there must be something else at that part of Pluto's orbit (the aphelion) which was causing some gravitational pull on Uranus & Neptune. Interestingly enough Pluto's orbit seems to have been pulled out (from circular) in the direction of the gravity perterber. From the late 1800s & early 1900s the target of astronomers was to find planet X, which has never officially been found. It is, however, well documented that in 1983, the infrared satellite Iris found a large gravity infrared object in that direction, which was initially thought to be a brown dwarf sun approaching our solar system, before it reportedly malfunctioned & initial reports were downplayed. It is quite likely that this object(s) is the same as that detected earlier by the gravitational pull on the outer planets.

The purpose of this article is to give an outline of the physics of orbits of planets, to enable the calculation of times of orbiting known & 'suspected' planets for given orbital positions. For a suspected planet, for Kepler's laws to apply, it must be assumed that the gravitational control of it's orbit is our Sun. In other words, passing objects through our solar system can not be predicted in this way. For suspected orbits, these equations can give an estimate from best known figures, which can then be refined as better data can be obtained or measured later.

Gravity The controlling force behind every orbiting object is gravity, which is therefore the force that Kepler's Laws observe in orbital motion. For the simplest case, gravity can be thought as the attracting force between two objects m & M, operating equally on each, & can be expressed as follows.

F = G*m*M/r²

where    F = force (N),   m = mass of object 1 & M = mass of object 2 (kg),   r = distance between the objects (m) & G = the universal gravitational constant = 6.673*10^-11 m³kg/sec²

However, for the case of one mass being considerably greater than the other, the motion becomes only that of the smaller mass, where the larger is effectively stationery. This is certainly the case in our solar system with the known planets with respect to the Sun. The equation of force on the smaller mass then becomes;

F = g*m/r²

where g = gravitational constant pertaining to the Sun's mass (Ms) = G*Ms

To make this equation useful in astronomy, all that need be done is convert this equarion to astonomical units.

Where   g = G*Ms = 6.673*10^-11 * 332925*5.98*10^24 = 1.33*10^19

Then   F = g*m/r²   where m = mass of earth units (me) & r = astronomical units = earth-Sun mean distances (au)

However converting force to a measure of earth orbit forces (ie. F=1 for m=me & r=1 au), is more useful again at the astronomical level. 

This is the gravitational force that effectively controls the orbits of all known planets & unknown planets with infintesimal mass compared with the Sun.

Keplers Laws

Kepler discovered his laws by carefully studying astronomically (ie. locating positions of planets corresponding to accurate times via telescope) the motions of the planets. His laws are as follows;

  1. Each planet moves in an ellipse where the Sun is a focal point.
  2. The radius vector sweeps out equal areas(A) in equal times(t) (ie. the area swept out is constant), so that   dA/dt = constant, and &A1/&t1 = &A2/t2 where & = change in A or t.
  3. The period (T) of orbit about the Sun is related to the distance of the major axis of the elipse (a) in the following way;   T² œ a³.

Keplers 1st Law = Ellipse Equations

Ellipse equations relate to Kepler's 1st law, & these are listed as follows;

  1. Equation of Ellipse: x²/a² + y²/b² = 1
  2. Foci of Ellipse: (+/- ae,0)
  3. Equation of Directrices:  x = +/- a/e
  4. Eccentricity Equation:  b² = a²(1-e²),  where 0 < e < 1   &   e  =  eccentricity
  5. Axes intercepts:  X Axis (+/- a. 0)     &     Y Axis  (0, +/- b)
  6. Area of an ellipse:   A = ¶*a*b,  where ¶ = pie
  7. Distance from the active focus (ie. the Sun) to the perihelion (dp = shortest approach) & aphelion (da = furtherest distance) :   dp = a(1-e)  &  da = a(1+e)

Keplers 2nd Law = Elliptical Area Bound by Aphelion - Sun Focus - Orbital Point of Interest Arcs

The governing equation to determine area is Kepler's 2nd law, in that it states the area of the elipse swept out stays constant (ie.dA/dt = constant). The area between the perihelion & a point of interest x can then be determined by considering the area between a graph & the X axis.

 For a function y=f(x), the area under the graph for varying x then becomes: A = ydx =  f(x) dx.

Now the function is simply derived from the ellipse equation:

y = b*(1-x²/a²)^½   where ^½ = to the power of ½, or square root

Integrating with respect to x give the area.

Ax = § b*(1-x²/a²)^½ dx =  § b/a*(a²-x²)^½ dx = b/a * § (a²-x²)^½ dx

This integral is not easily solved, but the solution can be found from any calculus handbook.

§ (a² - u²)^½ du = u/2 * (u² -  a²)^½ + a² /2 * asin(u/a) + C

Therefore

 Ax = b/a* § (a²-x²)^½ dx = b/a * [x/2 * (a² - x²)^½ +  a²/2 * asin(x/a) + C] = b/2a * [ x * (a²-x²)^½ + a² * asin(x/a) ]

since C = constant = 0

This gives the area bound by the ellipse below x=c (ie. to the perihelion in this case), where c is a reference point or point of interest. Now considering the perihelion as a reference point, the elpse is symmetrical about the x axis, & the time difference from the aphelion to x=c means only half this area is relevent, which is represented by the above equation.

Ac = b/2a * [ x * (a²-x²)^½ + a² * asin(x/a) ]

The area Ac represents the eliptical area of the arc, from the perihelion to point of interest, about the active focus (=Sun @ (-ae,0)) of the Sun. For the case where x < -ae a triangle must be added, & for x > -ae a triangle must be subtracted. The area of this triangle & area adjustments are outlined below.

A► = (x+a)*y/2   for x < -ae    &    A► = - (x-ae)*y/2   for x > -ae

Then accordingly; Aa = Ac + A► 

Elliptical Area to Time

The elliptical area is related to time by Keplers 3rd law. Therefore by comparing the major axis of the planet with the closest known planet (eg. Neptune for a distant case), the period of orbit can be estimated. Conversely the major axis a can be determined where an estimate of the period of orbit is known.

(Tx/Tn)² = (ax/an)³    where x & n refer to varibles for planets X & Neptune

Once the period of orbit is known, then by Kepler's 2nd Law, dA/dt = constant (ie. change of area with time is constant). Then since the area of the entire elipse can be determined by;

A=ab¶

any area swept out by the planet about the Sun can be easily determined by relating to the total area.

Aa = A*ta/T   where ta refers to the time for the planet to sweep out area Aa & T is the period of orbit.

Steps to Calculating Planet Position over Time

  1. Collect all the relevant data for the planets orbit, known or otherwise best or hypothetical guesses.
  2. Calculate the short axis of the elipse b.
  3. Calculate the Sun's position, or focus of elispse from its centre, from the equation of directrices, since a & e are known.
  4. Draw an accurate diagram on graph paper of the orbit with respect to the Sun & orbits of the other planets, where the plane of the page represents the plane of the orbit.
  5. Determine the planets current position. If this is unknown, then either estimate its position, or use a position known in the past at a certain time, or an estimate of time for when the planet will be at a distinctive postion of its orbit, (eg. plane of solar system, aperhelion or perihelion, the passing of the Sun where x=ae, & passing orbits of known planets). This can then be used as a reference time & position to calculate all subsequent positions & times. Note it doesn't matter if the reference time is not known, because what is most important is the time lapse between points of interest in the orbit. Once a reference time becomes known, then this can be incorporated into the equations, to give the absolute time values.
  6. Determine points of interest along the orbital path, include the perihelion, aphelion, intersection of the solar system plane, passing the Sun & the passing of orbits of known planets, including most importantly Earth.
  7. Calcuate the area of the elipse contained between an arc from the Sun focus to the perihelion & each point of interest (see determination of area contained by arcs from the elipse to the focus above) .
  8. Use Keplers 3rd law to convert the area between each of the 3 points to time difference with respect to the reference point time (see converting area to time above).
  9. Repeat these calculations on a spreadsheet for as many points of interest as desired, which also allows ease of adjusting calculations for changes to the elipse & reference point parameters. This also allows for different scenarios, in so much as the planet's orbital parameters have a range of possible values (ie. where initial values are a best guess or estimate). These can be changed to give more accurate data as it becomes available. Also the time difference is the most important aspect because absolute times can be determined when an accurate reference point & time become available.

Example: Timetable for Planet X Perihelion Approach wrt Orbital Points of Interest 

In the event that planet X is a reality, then the most important data to know, would be the time it takes to travel to the aphelion from the closest approach of orbits of solar system planets on route. This is the case, because once a reference time & position are obtained, this data can be easily used to translate to absolute time. It is also a good idea to have your spreadsheet set out so that parameters can easily be changed, both for experimenting with different scenarios & also for updating to better estimates. The following data was obtained from the book 'Planet X Forecast and Survival Guide' which is available from the Yowusa website.

T=3661 years & e = 0.988  ⇒  a = 237.43au, b= 36.67au,

< inclination = 85°, < declination = 12°, & < orientation of aphelion = 200°,

These data were then used in the above equations in the form of a spreadsheet, to obtain the following table of time values for the movement of planet X to the perihelion from each point of interest with corresponding sun to planet X distance & angle wrt the solar system plane.

Table: Planet X, time to aphelion (dt), distance (rsx), & angle to Sun (< sx)

Orbital Point of Interest                        dt (years)                     rsx (au)                            < sx (°)                    

Perihelion                                                 0                                 2.85                                -12

Plane of Solar System                            0.12                              2.85                                   0

Mars inner orbit                                      0.85                             4.16                                  56.5

Earth io                                                  1.06                             4.68                                  65.7            

Venus io                                                 1.17                             4.95                                  69.6     

Mercury io                                              1.33                              5.36                                 74.7       

Sun                                                        1.44                              5.66                                  78

Mercury outer orbit                                1.62                              6.13                                  80.4

Venus oo                                               1.72                              6.38                                  84.5

Earth oo                                                 1.82                             6.65                                  86.7

Mars oo                                                  2.02                             7.17                                  90.3

Jupiter                                                    3.64                            11.1                                  107.6

Saturn                                                    5.78                            15.6                                  118.1

Uranus                                                 11.4                               25.5                                  130          

Neptune                                               18.0                               35.4                                  136

Pluto                                                     33.6                              54.4                                  143

X=a/4                                                    40.3                              56.5                                  145

X=a/2                                                   113                               116                                    153

X=2a/3                                                 174                               155                                    155

X=0  (centre of elipse)                          340                               235                                   159

However, it must be remembered that if Planet X is in actual fact a system of planets orbiting a brown dwarf sun (ie. Nemesis), then the orbital points represent the centre of mass of the entire system, which probably resides somewhere near or inside Nemesis. This possibility would bring planets of the system either closer or further away than Nemesis depending on their position in orbit as Nemesis approaches & then leaves our Sun.

Planet X Visual Confirmation

Nemesis & Nibiru from most sources are largest. Nemesis is likely to be a brown dwarf & Nibiru a planet (possibly like one of the outer planets). Nemesis has a high infrared emmision, but is reportly only about 240°K (ie. -33°C), so that has no visible light under normal circumstances (likely to be black in emmitted light). Of course at closer distances to the Sun, interaction is likely to increase the temperature (ie. infared) & likely to emit some lower end visible light (ie. red) also. The other aspect is that reflected light from the Sun will increase from Nemesis & Nibiru as it approaches the Sun. Currently a telescope would be sufficient to view it. In terms of reflected light, binocular light visibility should be possible at 30 au (ie. Neptune's orbit), naked eye visibility should be possible, according to solar system planets, when it reaches a distance about 20 au (ie. distance of Uranus) & be obvious in the night sky by 10au (distance of Saturn). In terms of Nibiru's position, this corresponds to an orbit position from the table, about Neptune's orbit crossing for binocular visibility, part way between Uranus' & Saturn's orbits for faint naked eye visibility, to crossing Jupiter's orbit to be seen brightly in the night sky.

Gravity Hints on Mass of Nibiru + Nemesis

The gravity field that keeps planets & objects in orbit as described by Kepler's Laws is given by:

Fg = gm/r²      where g = gravitational constant dependent on the Sun, m = mass, & r = distance

In other words gravitation force declines with the square of the distance.

A hint of the gravitational force on Neptune & Uranus was given by Lowell in the early 1900s in his search for planet X, which he estimated from his astronomical measurements & calculations relating to these outer planets to have an estimate period of orbit of 282 years & mass of 7 * mass of earth (me).

From Kepler's 3rd Law the radius of orbit (rx) of Lowell's estimate of 282 years period (Tx) may be obtained, using orbitl radius (rn) & period of orbit of Neptune (Tn).

r³ = T²   ⇒   (rx/rn)³ = (Tx/Tn)² (astronomical units = 1 earth sun distance)

rx = rn*(Tx/Tn)^2/3 = 30.07*(282/164.8)^2/3 = 43.76 au

Then it is easy to see that for the gratational relation, if the distance to planet x varies, then mass must likewise vary according to its square.

m1/r1² = m2/r2²     so     m2 = m1*(r2/r1)²

However, there are two planets used in these estimates Uranus & Neptune, which experienced different forces due to planet X, according to their distance & radius from the Sun. Using the above relation & a better estimate of planet X's actual distances of the closest approach to orbiting Uranus (1870s) & Neptune (1900s), better estimates of its mass can be made. The following table gives a summary of this data, & equivalent masses & distances for the possibility that planet X was much further out at these times.

Another aspect is that the steep inclination angle of orbit is unstable, meaning that with enough orbits Planet X will plunge into the Sun. This is due to the upward pull on Planet X from each planet on its approach & exit, effectively pulling its perihelion closer to the Sun on each approach. This effect is particularly important with respect to the positions of Jupiter & Saturn on Planets X's approach. It is therefore probable that a closer encounter with Nemesis & Nibiru & other satelites than in past approaches, increasingly the probability of an eclipse or collision caused by one of these. This effect also means that the orbit could have changed somewhat since the last encounter, so that the eccentrcity & probably the main axis & orbital period could have increased snce last time. meaning a delayed return. However since the orbits of the outer planets seem effectively unaffected (ie. orbits close to circular & close to the solar system plane), imples that have been only small effects on Planet X's orbit also.

Table Updated Planet X Interplanetary Distance & Mass wrt Lowell's early estimates

Interplanetary Planet X Estimates             Interplanetary distances (au)                   Mass of Planet X (me)         

                                                                at closest approach to planet X                 where me =  mass of earth

Uranus & Neptune by Lowell                     rux = 23.66       rnx = 13.69                               7

Uranus's updated 1870s distance                              116.84                                         171

Neptuune's updates 1900s distance                             91.5                                           313

Distance for delayed PX perihelion                               130                                            632

for Neptune

Note: the initial Uranus 1870s & Neptune 1900s updated distances assume that planet X will reach the solar system plane on 21/12/2012.

These values compare with Jupiter & Saturn weighing in at 338me & 95me respectively. However, if Planet X is significantly delayed, then there is some scope for increasing the distance further & thereby mass (according to the square of the distance), so that up to 2-3 * mass of Jupiter is possible, assuming the data Lowell used is reasonably accurate. Also in the event of a system of planets orbiting Nemesis, the planet X mass represents the entire system, where most is centred at Nemesis itself, & its posiition refers to the systems centre of mass (likely in or close to Nemesis). It is entirely possible for a delayed scenario, that there could be two masses Nemesis & Nibiru similar to Jupiter & Saturn respectively.

Precautionary Planet X Measures

It is recommended you do your own research, since I think it is becoming increasingly obvious that some aspects of authorities are silent on important issues. It is therefore a good idea to ;

  1. Search Planet X & current events on the net, & there are some excellent sites & reports available to ellaborate how things fit together.
  2. Read Survival Guides to learn how to cope in natural disasters, which have been increasing in recent years, not due to CO2 but rather Planet X.
  3. Learn subsistence techniques, such as: Growing your own vegetables & fruit,
  4. Filtering & treating your own water, from mains, rainwater, pumped from wells & distilling water by evaporating & condensing. Boiling is usually sufficient for disinfecting, but evaporation & condensing cleanses the water from chemicals.
  5. Generating your own power. This can be done by using known methods such as solar & wind power, hydroelectric & fuel cells, or experimental ideas like a) an electromagnetic generator, (eg. magnet4power, magnet4energy & magniwork)  , b) atmospheric energy receiver using an antenae or phone line , or c) oxyhydrogen generator.
  6. Heating water, air & cooking without power.
  7. Consider technologes to increase fuel economy & make fuel as a deterent to fuel affordability & scarcity. Water fuel oxyhydrogen & PCV enhancer designs increase fuel economy & engine performance, as well as enhnacing engine longevity. Such waterfuel designs include Simplewater & Water4gas (original design). In the case of deisel engines (auto, truck, tractor, generator ect.), making your own biodeisel fuel is also quite within the capability of diy projects.
  8. Think about storage of food, secure shelter (eg. a bunker), & where you live.
  9. Things to be aware of are tidal waves, high winds, earthquakes, volcanic activity, fires, land subsidence on the downslides of fault planes & yes manmade factors like nuclear blasts & various contamination. Have short & long term plans in place where any of these could an issue.
  10. Have plans in place for the economic contractions, including strategies to combat the global financial crisis & any economic depression that it may cause.
  11. Also don't forget to take time to seek your Creator, reconcile & spend time with Him. Since He saved those in the flood of Noah & the Israelites during the Exodus in past flybys of planet X. He created us & made a way for us all to be saved.

Well it's good to know, because history & prophecy (ie. Nemesis + Nibiru = destroyer of Revelations + Exodus of Moses + Flood of Noah) both hint at Planet X causing catastrophies in the past & future. In fact, many of the good things to do in recent times, are actually becoming quite important. I hope it's delayed & reduced as much as possible, but we should still be prepared in what ways we can, within reason. All the best in your preparations, & I'm sure alot of this is stuff we should do regardless of Planet X, & it can be fun too.





http://arxiv.org/ftp/arxiv/papers/1104/1104.2036.pdf