Moon Tilt Illusion

If the Moon is illuminated by the Sun it is expected that its illuminated portion should always point at the Sun. The Moon Tilt Illusion is a phenomenon in which the lit portion of the Moon unexpectedly points away from the Sun. The phenomenon is most noticeable for gibbous phases between Half Moon and Full Moon and during the time between the Moon's rising and zenith. The Moon Tilt Illusion even occurs after the Sun has set, a situation in which the the Moon is pointing upwards and away from the Earth while the Sun is below the horizon.

Some attribute this phenomenon to 'perspective', while astronomers tell us that there is a 'celestial sphere' which the celestial bodies glide upon at different angles, and upon which straight lines become curved. We are given a series of analogies and explanations separate from, and incompatible with, the Round Earth Theory.

The Moon Tilt Illusion is geometric anomaly predicted by the Flat Earth Theory. Under the FET the Moon Tilt is directly predicted by Electromagnetic Acceleration (EA). The nature of EA results in the tilt of the Moon's phase away from the Sun and, for those who will accept the proof when furnished, acts as a vivid piece of evidence for the Flat Earth celestial model which is visible and accessible to all.

=Description=

(Source)

Professor Myers at the University of Pennsylvania provides the following description:

http://www.upenn.edu/emeritus/essays/MyersMoon.html (Archive)



Moon Tilt Observational Diagram
In a related paper from the same author titled The Moon Tilt Illusion (Archive), Professor Myers provides the following diagram of the observed tilt of the Moon and its displacement from the expected angle:



Altitude is the elevation of the moon in the sky. Azimuth is the degrees clockwise from North. The diagram shows phases from full to new. At times the Moon is pointing towards the Sun, and at other times the Moon is pointing away from it. When opposite from the Sun, the Moon's tilt can be wildly displaced from its expected position.

Other Versions


 * Moon Tilt Northern Waning
 * Moon Tilt Southern Waxing
 * Moon Tilt Southern Waning

From the source:

Lunar Phases at Sunset
Another depiction of the various orientations of the Moon in relation to the Sun at the time of sunset for waxing phases in the North may be found below:



(Source)

Other Versions


 * Waning Phases at Sunrise

Sun and Moon Anomaly
From a Stack Exchange post on the Moon Tilt Illusion we find an observation:





A Different Moon Illusion
Another observation is given here:

http://www.astropix.com/html/l_story/moonill.html (Archive)



Further Reference

 * Moon Phases and the Horizon Diagram (.swf Archive) - "Provides a method of learning the correlation between the phase of the moon, the time of day, and the position of the moon in the sky."

=Flat Earth Moon Tilt=

It has been asked if there is an example of a celestial event that the Flat Earth Theory predicts which the Round Earth Theory does not. The Moon Tilt Illusion is one such example. While RET has difficulty explaining this anomaly, with its professors calling it "counter-intuitive and magical", and multiple contradictory and geometrically questionable explanations are put forward in attempt to explain it, the phenomenon is directly predicted by the Flat Earth astronomical model. According to the theory of Electromagnetic Acceleration light curves upwards over very long distances, is the cause for the rising and setting of celestial bodies, and is responsible for various observations which make it appear as if we are inside of a dome. When this scheme of upwardly bending light is applied to the orientation of the Moon, the geometrical hardships are resolved and it is seen that Electromagnetic Acceleration directly predicts the Moon Tilt Illusion.

Moon Flipped
Due to EA the observer will always see the nearside (underside) of celestial bodies. As result the orientation of the image on opposite sides will be vertically flipped. The illustration below shows the extremes of the Moon's rising and setting and the vertical flipping of the Moon's image to observers positioned on opposite sides of the Moon.



An observer to the West of the Moon sees the phase pointed upwards away from the horizon, and an observer to the East of the Moon sees the phase pointed downwards towards the horizon.

Moon Tilted
When viewing the Moon at various positions around it, it is seen that the Moon's phase tilts. In the below illustration observers A - H are standing around the Moon, viewing it at various positions around it. The Moon over the solid horizon shows the observer's view.



Notice that the views on opposite sides of each observer (A - H) are vertically flipped to each other like in the rising and setting side view diagram.

To simulate the view for each observer flip the central nearside face in relation to the observer's orientation around the Moon (positions A - H), so that the observer sees the furthest part of the Moon from his or her position at the closest to that observer's horizon. This represents each observer's view of the Moon.



For instance, Observer C at midmoon is looking to the right (Southward) at the Moon and from that position will see the darkened portion to the left of the Moon's image, with the furthest part of the Moon from Observer C's location at the bottom closest to that observer's horizon. The same may be applied for each observer, relative to their various positions around the Moon. Alternatively, one may take the vertically flipped rising phase for Observer A and rotate that image in 45 degree increments to match the positions of the Observers B - H around the Moon.

EA predicts that between rising and midmoon the Moon's phase will be pointed significantly away from the Earth and Sun, angled upwards above it. At midmoon the illuminated portion of the Moon will be pointing at a right angle in the sky. Between midmoon and setting the phase will be pointing downwards towards the Earth. EA also predicts that the Moon's face will roll and rotate clockwise in the North and counter-clockwise in the South.

Comparison
Compare the EA Moon Tilt diagrams to the diagrams shown at the beginning of the page showing the Moon Tilt Illusion for the Waxing Phases in the North and South.


 * Moon Tilt Northern Waxing
 * Moon Tilt Southern Waxing
 * Northern Waxing Phases at Sunset

=Round Earth Explanations=

Perspective Explanations
An explanation of the Moon Tilt Illusion is given in the form of a perspective effect. It is possible to get very close to an object and make it appear to change angle and point upwards, downwards, or to the side. It is claimed that this is occurring with the Moon.

A VSauce video titled The Moon Terminator Illusion (Runtime:11m) explains the Moon Tilt Illusion via a perspective effect:



In the above demonstration VSauce references a close range perspective effect to show that orientation of bodies and images can change to perspective. However, one will find that that same effect is not going to occur with the same motions of the camera if the screen is distant from the observer. If the laptop screen were far away the the camera would need to move of greater proportions. The same movement would not create the same effect.

Another version of the perspective argument is given here:



The Moon is pointing downward at the Sun at the horizon. Moving the camera close to the Moon, the Moon appears to point upwards.

In contrast to this argument, under the Round Earth Theory both the Sun and the Moon are far away from the observer and are at the same distance from the observer at all times. They do not change distances radically from the observer, as the camera changes in relation to the Moon in the above animation in order to cause a large perspective effect. The explanation of a perspective effect is extraneous to the systems in the Round Earth Theory.

Pencil Example
As an example; a pencil 10,000 feet away from the observer will not be subject to close range perspective as easily as a pencil held 10 inches away, where the observer can cause perspective changes with small movements.

For a personal example, take a pencil and hold it horizontally to the ground with the end of it one inch away from your forehead. The pencil will appear to be pointing 'upwards' to your perspective, despite being horizontal to the ground. Move your head a couple of inches to the left or right and notice the pencil's apparent range of movement. Next, move the pencil an arms length away from your forehead, while still holding it horizontal to the ground. The pencil is no longer pointing at the same upwards angle and begins evening out. When moving your head a couple of inches to the left or right at the greater distance makes the pencil undergo smaller perspective changes.

Pencil Perspective Simulation
Indeed, perspective affects a pencil less and less with greater distance. In the below simulations the pencils are horizontal and parallel to the floor surface. At close proximity the pencils seem to be angled upwards due to a perspective effect, despite the parallel nature of the pencils to the floor. Perspective causes the pencils to point upwards. Receding backwards away from the scene causes the pencils to even out as they become distant.



Tinkercad Pencil Model Source

Some have argued that the Moon Tilt Illusion is caused by such a perspective effect, which causes the illuminated portion of the Moon to tilt and point upwards. Yet, we see from the above that this is only a close range effect.

Consider the following: If the pencils recede into the distance until they are at the distance of the RE Moon, presuming that we could see them at that distance, will the pencils point upwards?

Vertical Displacement
It is agreed by all parties that if the pencils recede into the distance until they are at the distance of the RE Moon, that they will not point upwards. The implication being that if the Moon were distant from the observer, it would not naturally tilt to perspective. In response, our opponents reply "The illusion is caused by a combination of the lateral and vertical displacements of the observer to the moon." We are asked to lift the distant pencils in altitude and to observe how they behave. We do so below:



The pencils give important cues to what is occuring to objects when modified by perspective. When the pencils at the bottom positions are level with the observer they do not tilt. When the pencils are risen in altitude they do tilt. At the top position we see the underside of the pencils, as the pencils point upwards. This is suggested to be what is happening with the Moon. If one compares the Moon Tilt Observational Diagrams to the upwardly pointing pencil, there are similarities with the upwardly pointing phase.

In order for the pencils to tilt upwards in this manner they must be changing orientation. When the pencils are at the top position and pointing upwards we are looking at the underside of the pencils. However, when Moon rises in altitude from the horizon do we ever see different sides of the Moon?

We regret that the answer in the negative. We observe the same nearside face of the Moon at all times, regardless of how it is lit. The Moon never tilts in orientation. According to RE this is because the Moon is tidally locked to the Earth and is pointing at it at all times. FE explains why we always see the nearside of the Moon as a result of Electromagnetic Acceleration. In order for the Moon to tilt upwards in this perspective explanation the Moon would need to manifest a change in orientation. We should see it rotate upwards in order to see it tilt upwards. We should see it from another angle, just like the pencils in the above animation, or like when lifting any body in front of us. As we always see the same side of the Moon, this is a contradiction. The Moon does not change angle to perspective. Its nearside points at the observer at all times.

Difference in Position Diagram
According to the RET over the course of a day the changing perspective of the Moon to an observer on Earth is negligible. The Moon maintains its distance from the center of the Earth at all times, with its nearside face tidally locked to the Earth as the Moon slowly rotates around it. The Earth, in turn, rotates diurnally at a faster rate in relation to the Moon. An observer on the surface of the Earth at either side of the Equator will observe a change in the position of the Moon by less than 2 degrees due to positional changes alone, as demonstrated in the below top-down illustration:



In the above diagram the outer orange circle is the distance between the Earth to the Moon turned into a circle. Divided by 360 degrees gives the number of degrees per mile, which is used to find the displacement in degrees between the extremes of either side of the Earth. We see that the displacement in degrees is minimal.

Diurnal Liberation
Wikipedia gives a similar statement:

https://en.wikipedia.org/wiki/Libration

Other Properties
Looking at the Earth's Diameter and the Moon's Orbit Diameter as compared to the distance to the Sun under a similar methodology we also find negligible differences in angle displacement:


 * Earth Diameter: 7917.5 mi


 * Diameter of Moon Orbit: 238,900 mi (Dist to Moon) x 2 = 477,800 mi


 * Distance from Earth to Sun: 92,900,000 mi


 * Circumference of Earth to Sun Radius: 2 * pi * 92,900,000 = 583,707,915.037 mi


 * 583,707,915.037 / 360 degrees = 1621410.8751 mi per degree


 * 477,800 mi (Moon Orbit Diameter) / 1621410.8751 = 0.29468 Degrees Max


 * 7917.5 (Earth Diameter) / 1621410.8751 = 0.00488 Degrees Max

In all configurations of the Earth's rotation, or of the Moon's orbit around the Earth, there will be negligible angle displacement. One must wonder where all of the perspective changes for the Moon Tilt Illusion are coming from. It is certainly not from the geometry of the Sun-Earth-Moon system.

The argument that perspective can cause drastic changes to the positioning of the Moon is hence questionable. The examples given with toys at close range are of little relation to the systems proposed by astronomy. With the close range examples the distances between positions changes radically between positions to cause a perspective effect, whereas under the theory of the Round Earth system the distances and scales involved are very different, hardly changing at all.

Consider that if you have a ball suspended 12 inches from your eyes and move ten inches around it there will be a greater change of angle than if the ball were suspended at 10,000 feet from your eyes and you had walked ten inches around it. Using the discussed close range example of a 12 inch distance and 10 inch displacement we find:


 * 2 * pi * 12 inches = 75.398 inches circumference


 * 75.398 / 360 degrees = 0.209 inches per degree


 * 10 inches / 0.209 inches per degree = 47.846 degrees

At the closer ranges the ball will shift unnaturally to perspective. At greater distances the ball will not shift by appreciable amounts unless the displacement in viewing position is also by a great amount. At greater distances if there is a marker on a ball, such as a light source which is shining on the ball and illuminating half of it, by relatively small displacement in position the ball will not shift enough for perspective to create much modification in orientation. We therefore see from all of the above that proper geometric explanation for the Round Earth system is unavailable. Unlike objects at close ranges, the Moon is unable to change distances in relation to the observer to cause much of a perspective effect.

Hallway Perspective
Another perspective example is given in the way of standing in the middle of a hallway. In The Moon Tilt Illusion (Archive) we read a description:



The above scenario involves standing in the middle of a long hallway, and observing that the ceiling above you is horizontally parallel and that the the angles of the ceiling at either end are tilted to perspective. The movement of the Moon is claimed to be just like traveling down or up the length of the ceiling of a hallway, and will change to perspective like the angled corners of the ceiling at either ends. At one end of the hallway the Moon is angled upwards in one direction, when it is over you it will be horizontal, and then when it is down on the other end it will be angled downwards.

However, example involves a celestial body that is close to the earth, radically changing distance to the observer in relation to their distance above the Earth. Under the Round Earth model the Sun and Moon are essentially the same distance from the observer at all times, and so will not change much to perspective. In contrast to the Round Earth model, the edges of the hallway ceiling in the example are not the same distance from the observer at all points. The points along the edge of the hallway ceiling change in distance to the observer.

The above example would also involve us seeing different sides of the Moon as it approaches and recedes from the observer. We see again that the argument made is specious and unrelated to what is claimed by the Round Earth Theory's astronomical model.

Ball Experiment
Another attempt at showing that the matter may be caused by perspective takes the form of a ball experiment performed with the Moon in the background. Since it is possible to use a close range perspective effect with a ball in the near field to get it to point in a variety of different directions, it is concluded that this what must be happening with the Moon.

In a MetaBunk thread Mick West views a Moon Tilt Illusion and performs the following: (Archive)



The red arrows in the image above depicts the directions of light for the bodies in question, as seen from a far vantage point. The Moon (top red arrow) is unexpectedly pointing above from the Sun while the ball on a post (bottom red arrow) is pointing towards the Sun, as would be expected. It is expected that bodies illuminated by the Sun would point towards it.

Mr. West then approaches the ball and angles the camera close and right up to a ball on a post to get it to point away from the Sun like the Moon does:



Mr. West concluded that this is what must be happening with the Moon.

The author uses a close-range perspective effect to match the Moon. There is little doubt that holding something very near to one's face or camera can create lots of angles. Yet, in the first far distance scene the illuminated portion of the ball points at the Sun. It is not until the observer gets up close to the ball, to a special carefully selected position beneath it, that the ball is able to point away from the sun, in a similar direction as the Moon.

The fallacy in this example is that under RET the Moon is not a small ball very close to the observer — a false analogy. In RET the Moon is far from the observer and maintains its distance from the observer and Sun at all times — it is not subject to close range perspective effects. The Moon does not radically change its distance from the observer at any time. Perspective affects orientation less and less with greater distances.

Nor does the Moon change in angle, to a situation where we are viewing the Moon from below so that it tilts upwards. We view the same side of the Moon at all times. In order to tilt upwards to perspective a body would need to change orientation and angle, just as if we were lifting any body upwards in front of us.

We again see repetitions of the fallacies above, and the failure to provide a proper geometric explanation for the Moon Tilt Illusion.

Garage Experiment
Mr. West provides a similar perspective example in a garage experiment video.



In this example, like the previous example, we are looking at the ball from the underside, and so the ball Moon is tilted upwards.

One comment in the video states: "This is a pretty neat illusion, and definitely one that makes flat-Earthers think they've somehow "cracked the code" when in reality they're just misunderstanding geometry."

In truth, the opposite is the case. If the Moon were shifting to perspective to such a degree in a daily basis, by tilting up and down it would necessarily manifest such effects as a changing of angles and the shifting view of different sides of the surface. Yet, this is not known at all. Tthe perspective argument is only an explanation which has been made up for the purpose, known nowhere else in lunar astronomy. Unless Mr. West is proposing that the Sun and Moon are small bodies moving very close over his head like in the models he constructs, and where we see different sides of the Moon, changing angle as it moves as result of perspective effects, the comparison must be seen as nothing other than a fallacious misunderstanding of geometry.

Celestial Sphere
Another explanation for the Moon Tilt Illusion involves a "Celestial Sphere" in the sky, upon which straight lines become curved.

In the paper The Moon Tilt Illusion (Archive) by Adrea and Alan Myers, the following is stated:

We are told that straight lines become curved when looking into the sky because of the "celestial sphere" which exists above our heads.

3D Model Example
A demonstration against this concept may be found in any 3D modeling program. Create a long straight line and place the camera at various positions and distances from it. At what point does the straight line become curved? The answer we have found is: At no point. A straight line in the distance will always be straight.

Alternatively, if the line were a green cone pointing at an yellow ball, the green cone would always point at the yellow ball.







In the above we took a picture of a 3D scene in various positions. At all positions the arrow always pointed at the ball. With greater and greater distances, the cone will always point at the ball. One must wonder, why does the arrow always point at the ball? The assertion that arrows would not point at the things they are pointing at also implies that if you took a picture of any line in 3D space, that it would appear curved on the picture.

On this topic we receive arguments such as "What you are failing to consider is that the night sky is not a euclidean space; it's a curved surface." But just what is being described? In RET the space above and around it is not a "curved surface". It's not a surface at all. What reason is there to think that we would see it as a surface around us where straight lines become curves? This can only be seen as wild imagination from a desperate position.

Hence, the concept of a celestial sphere is seen to be a contrived concept bearing no relation to the 3D space which the Sun-Earth-Moon systems of astronomy are said to exist in. As there is no sphere around the Earth in RET upon which straight lines may become curved, it is again found that a geometric explanation for the Moon Tilt Illusion is unavailable. Astronomers disagree among themselves on the cause, with some speculating on a planetarium-like celestial sphere which does not exist in the physical Sun-Earth-Moon system.

Celestial Sphere Project
Our experts on astronomy provide us with a Moon Tilt Illusion scene cut into a 'Celestial Sphere' to give us a better idea on "how things work in 3D space." Straight lines become curved on the Celestial Sphere.



(Source Images)

Unfortunately, this example comes with a fictitious premise. The sky is not a sphere which the Sun, Moon, and lines of light rays rest against to cause artificial curvature. Straight lines will be straight in the sky above us, not 'curved on a celestial sphere'.

If the Sun and Moon can be connected in such a manner, it merely provides a small clue for the underlying mechanism, and does not imply that there is a "celestial sphere" above the Earth where "straight lines become curved". Such a mechanism is entirely unexplained and nonphysical in the Round Earth Theory.

String Experiment
Along the same lines as the above, we are given reference to "string experiments" in which the direction of the Moon's illuminated portion is connected to the sun with a string.

Credit: Bobby Shafto

It has been argued that the string experiment shows that the bodies do actually point at each other. An illusion of some type is occurring and the string experiment "breaks the illusion," demonstrating that the illuminated portion of the Moon is actually pointing at the Sun. If it was not pointing at the Sun then it would not be possible to hold a straight piece of string along that path.

As a reply to this, consider the following scenario:


 * You are laying down on the ground on your back, facing upwards, and at the edges of your vision see the top of a pine tree on one side of your vision, and the top of a cabin on the other. You take out a string and connect them together across your vision. Have you proved that the tree is pointing at the cabin?

If you are laying down on the ground on your back and see the Moon pointing upwards on one side of your vision and see the Sun setting at the horizon on the other, a string connecting the two will no more prove that the Moon is pointing at the Sun than it would prove that a tree is pointing at a cabin. When you lie on your back you can see 180 degrees of space. Just because an object at one side might be pointing "up" at another object at the other side, it doesn't mean that they are pointing at each other.

When wrapped around the observer, this panoramic view of the moon tilt illusion:



Turns into this:

Art Credit: Todd Lockwood

In the above example both the Moon and airplane are on opposite sides of the Sun, which is on the horizon at point A. They are not actually pointing at the Sun. The string merely connects them two dimensionally across a 'sphere of vision' exactly like the tree-cabin example.

If the airplane was actually pointing at the Sun in the above example, then when looking at the airplane face on, with the Sun on the horizon to your back, you should see the airplane pointed at you and tilted downwards towards the opposite horizon behind you. The same would also apply for the Moon. If the Moon were pointing at the Sun then when you face the Moon its illumined portion should point downwards at the Sun at the horizon behind you, just as an airplane would. Thus, we see that this assertion that string experiment demonstrates that an illusion is occurring and that bodies are pointing at each other is erroneous. The string experiment may suggest that object positions and straight line paths behave as if they are curving on a dome of some manner, but it does not demonstrate absolute directions of bodies.

A fish-bowl type simulation of the Moon Tilt Illusion can be seen in University of Nebraska-Lincoln's Moon Phases and the Horizon Diagram (.swf Archive) - "Provides a method of learning the correlation between the phase of the moon, the time of day, and the position of the moon in the sky."



Curving Lines on Celestial Sphere
It is claimed that lines curve on a Celestial Sphere, and it is insisted that we merely need to "do the string experiment" to see that the paths connect. The claim that lines curve on the Celestial Sphere above us is to claim that if we shine a laser into space that we will see it wrap around the dome and hit the opposite horizon.



If Dexter fires his laser beam into the sky and into space, will we see it 'wrap around' on the Celestial Sphere and hit the opposite horizon?

We are obliged to answer in the negative. The laser beam will not wrap around to the opposite horizon. We again see that the mechanism of a 'Celestial Sphere' is nonphysical and unexplained.

At amazingsky.com we find the following (Archive):



Caption: "The MSM’s bright laser pointer is useful for aiming the tracker at the North Celestial Pole, located about a degree away from Polaris in the direction of Alkaid, the end star in the Handle of the Big Dipper or Plough."

If the laser could continue forever into the distance, would it curve around on the Celestial Sphere and hit the horizon?

=Predictive Equation=

In The Moon Tilt Illusion (Archive) Professor Myers provides equations which can be used to predict the Moon's tilt in the Moon Tilt Illusion. Some have attempted to reference these equations as a piece of evidence that the Moon Tilt can be explained under the Round Earth Theory. Assessing the scheme of the model used, however, shows that it is not a Round Earth model.

Viewing Plane
In Professor Myers' model the distant Moon and Sun are projected onto a "viewing plane" near the observer. Figure 7 on p.8 shows a diagram of this model:



In the above caption it is stated of the Moon and Sun that the "image is on the viewing plane". Is there a viewing plane above our heads in RET where bodies are projected upon? As we are not taught that there is a "viewing plane" close above our heads where the celestial bodies are projected, we are again obliged to answer in the negative.

Why is a "viewing plane" necessary? We see that the model is unrelated to the systems which are said to be in place.

Celestial Sphere
The author explains that the celestial sphere is used as an axiom in the work.

Once we consider all of the above, including geometrical concepts such as the celestial sphere, upon which the celestial bodies are assumed to be resting on at different angles and where straight lines become curved, we can explain the Moon Tilt Illusion.

Distance to Sun and Moon Not Used
On p.9 we see statements that the distances to the Sun and Moon are not used and are avoided.

A Simple Challenge
To those who do think that this model represents a Round Earth model; a simple exercise is to go through the document and point out the page or section where the distance from the Earth to the Sun or the Earth to the Moon is expressed in the equations. We have found that the distances do not appear anywhere in the equations.

From all of the content above we have seen that distances do matter. There is a perspective difference between moving bodies which are close by and moving bodies which are millions of miles away. A Round Earth model should have Round Earth properties. Since the above predictive model does not use the Round Earth distances, and instead appeals to 'viewing planes', 'celestial spheres', and undefined distances, it cannot be a Round Earth model. The required geometry could be seen to act more as evidence against than for.

Conclusion
The Flat Earth Theory provides a geometric explanation for the Moon Tilt Illusion and the dome-like movement and orientation of the celestial bodies in the sky. Its astronomical model directly predicts the tilting of the Moon's phase above and away from the Sun.

The Round Earth Theory, in contrast, has difficulty with providing a working explanation for the Moon Tilt Illusion. Straight lines in normal space should cause the illuminated portion of the distant Moon to point at the Sun. A perspective explanation would require the Moon to be angled upwards in order to tilt upwards, to which we should able to see different sides of the Moon, whereas a celestial sphere explanation is entirely immaterial and without a mechanism. In complete contradiction to popular dogma, it is the Round Earth Theory which has geometric difficulties, lacking explanatory power for common observations.

=See Also=


 * Electromagnetic Acceleration
 * Celestial Sphere