Precession Visualized

After reading the initial chapters of our textbook, I was captivated by the fact that the way Earth’s tilt changes can be dumbed down to the movement of a spinning top. It’s always fascinating seeing physics work on any scale, so I was eager to look into the subject. After a bit of searching, I found an awesome video that not only provides an explanation of how precession works, but how it changes what stars are visible in the night sky. Embedded is one of my favorite visualizations.

Demonstration of precession in action – youtube.com

As illustrated in the image, Earth’s axis precesses on a 26,000 year cycle. Notably, this means that North will not always point at the same part of the sky, and therefore Polaris has not always been and will not always be an effective North Star. It won’t change noticeably in our lifetimes, but it’s fascinating to think that ancient peoples navigated with entirely different bearings.

An insight that the video provided that wasn’t explicitly talked about in the book is that Earth’s lack of a perfectly spherical shape heightens the effect of precession. With the center of mass thrown off by the bulge around the equator, gravity from the Sun and Moon are able to have an effective pull on tilted Earth.

Additionally, the fact that spin is maintained by angular momentum, which is proportional to mass, makes me wonder how an increase in mass would affect Earth’s precession. My prediction is that a more massive Earth spinning at the same rate would have a longer period of precession. This assertion is based on the fact that a higher angular momentum leads to less deviation from the already established axis of tilt, as indicated in the book.

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Blog Post 1 Speed of Light and Light Time Travel

The time it takes for the sun’s light to reach the Earth. Credit: physics.benjamin Steemit

Ever since I was a kid I always thought about how time travel would work. However, no as an adult, I realize that the delay of light reaching our eyes is technically time travel. Every instance you see around you is actually one trillionth of a second in the past since it took light time to reach your eye. In the same sense, the sun is 8 and a half minutes in the past as it currently is. Stars are viewed currently years if not hundreds of years in the past compared to what they look like right now. It even had me wondering a while ago, if an alien looked at our planet to try and talk to us, they would be looking at dinosaurs instead of humans. They could view the earth as it was 100 million years ago instead of us today.

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Powers of Ten and the scale of the Universe

The Powers of Ten video starts off with showing the viewer a couple on a picnic, which is a relatable reference point for the viewer that sets the scale for the rest of the video. Every ten seconds the video zooms out so that the box on screen is one more power of 10 meters bigger in size. For example we start off seeing a box 10^0 meters wide, which then moves to 10^1 after ten seconds, and 10^2 after 20 seconds, and so on. Within 2 minutes the Earth is lost from view, as small as a molecule would be to us, and not long after that the solar system becomes just a speck on the screen as well. Personally, while working in scales of the solar system often in school, this was amazing to see on screen but not a new realization. What was really mind blowing was seeing the milky way galaxy disappear off screen along with the rest of the local group and the virgo cluster. It emphasizes how truly microscopic Earth and the human species are on a cosmic scale. My first impression was that we are like bacteria growing on a rock. At the same time, I feel as though our tininess makes our knowledge of this scale even more impressive. A single cell organism has no concept of the Earth and its existence, however us, just as small in comparison to the universe, do have a concept of our size and likewise the vastness of the universe. To me this video shows how powerful humans really are.

After reaching a scale of 10^24 meters, the camera zooms back in all the way to a single proton, which is visible and in frame at a scale of 10^-16 meters. 10^+16 meters is roughly 10 light years. With these two numbers, it also frames humans as obviously very large in comparison to a proton, one of the smallest objects measurable. This shows that however we still are extremely small in the scope of the universe, we still are nowhere near being the smallest things in existence.

#space

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Solstices and Equinoxes

Earth in orbit: all four seasons.

The seasons change as Earth orbits the sun. Earth’s hemispheres receive different amounts of sunlight during each season because of the 23.5 degree tilt of Earth’s axis. When the Earth is at a point in its orbit that the northern hemisphere is tilted toward the sun, it is summer for the northern hemisphere. This is because the northern hemisphere receives the most direct sunlight and longer daylight hours, which allows it to heat up and stay warm. More sun rays cover a larger area, so the area is warmer.

The point in the year when the northern hemisphere is tilted most toward the sun and in turn receives the most sunlight is the June solstice. After that, the northern hemisphere is still tilted toward the sun, but less directly. As time passes, the northern hemisphere points less and less directly at the sun. The September equinox is when the northern hemisphere actually begins to be tilted away from the sun. The northern hemisphere receives less and less direct sunlight and begins to cool down. As the northern hemisphere cools down, it becomes fall and then winter, when the axis is pointed away from the sun.

The December solstice refers to the time of year when the northern hemisphere is pointed furthest away from the sun. It is winter because sun rays have to cover a larger area and thus do not heat it as much. After the December solstice, the season slowly becomes more moderate. Earth’s axis gradually becomes less pointed away from the sun, and the northern hemisphere slowly receives more and more direct sunlight. At the March equinox, the northern hemisphere actually becomes slightly tipped toward the sun and is no longer pointed away. The northern hemisphere gradually warms and receives more direct sunlight until the June solstice. 

The solstices are interesting because they refer to the moments when the Earth’s axis is tipped the furthest away or closest toward the sun. At both equinoxes, the northern and southern hemispheres are tilted neither away nor toward the sun. For instance, at the March equinox, the northern hemisphere changes from being tilted slightly away from the sun to slightly more tilted toward the sun and the southern hemisphere changes from being tilted slightly toward the sun to slightly tilted away from the sun. At the equinoxes, because of the Earth’s position in orbit and tilt neither away nor toward the sun, the sun rises directly due east and sets directly due west and the Earth receives equal amounts of daytime and nighttime. 

What do you think seasons would be like if Earth’s axis had no tilt? Do you think we would still have different seasons? Why?

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Nashville’s Partial Lunar Eclipse

Near-total eclipse as seen on November 18 and 19

Last November, Nashville witnessed a near-total lunar eclipse. Many of you likely remember hearing about it on the news or even stayed up late to see it – but why the commotion? What made this particular event noteworthy? To understand this, we will first explore the phenomena of lunar eclipses in general.

Lunar eclipses occur when the sun, Earth, and moon align so that Earth’s shadow falls on the moon. If the moon is completely covered by Earth’s shadow, we refer to it as a total lunar eclipse. Any other scenario is referred to as a partial lunar eclipse. Given the specific conditions necessary, it is unsurprising that total lunar eclipses are less common than partial lunar eclipses.

Image of a partial lunar eclipse from NASA

The November, 2021 lunar eclipse was visible in Nashville from about 1:00 AM to 3:00 AM on the morning of the 19th. The entire duration of the eclipse was 3 hours and 28 minutes, the longest of the century. Additionally, although the eclipse was technically only a partial eclipse, Earth’s shadow enveloped up to 97% of the moon at the hight of the eclipse, so the view was still extraordinary and exhibited features of a total eclipse, namely the red coloration.

Interestingly enough, any given lunar eclipse is visible from anywhere on Earth experiencing night and where the moon has risen in the sky. On November 19th, I was in Nashville, but my family in Chicago could see the same event that I was seeing, despite being hundreds of miles away.

The November 19th, 2021 lunar eclipse. Photo by me

If you happened to miss the lunar eclipse last November, don’t worry! The next one visible from Nashville just so happens to be a total lunar eclipse, coming up on May 15, 2022. Happy viewing 🙂

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Can We Travel Faster Than the Speed of Light (like in Star Wars)?

Figure 1. The Millenium Falcon traveling using a hyperspace jump.

One interesting question that has crossed many minds is, “Can humans travel at the speed of light?” Movies like Star Wars and Star Trek seem to believe that we can travel at, or even exceed, the speed of light (300,000,000 m/s) as they depict spaceships capable of jumping into hyperspace. In order to assess this question, Space.com takes the opportunity to analyze Albert Einstein’s most famous equation: E=mc<sup>2</sup>, where E is the energy of a particle, m is the particle’s mass, and c is the speed of light. What makes this equation interesting is that even the smallest of masses contain a large amount of energy.

Here is an interesting example. If you were in a car traveling at the same speed as an adjacent car on the interstate, you would say that the adjacent car is not moving relative to your own position. However, if your car traveled close to the speed of light, the light would seem as if it was traveling rapidly in the opposite direction. By this logic, Einstein makes the important statement that light travels at the same speed regardless of an observer’s motion and the time or place at which their measurement of the light’s speed is taken.

The combination of E=mc<sup>2</sup> and the example above indicates that humans-or really anything with mass-cannot attain or surpass the speed of light as this would imply that there is infinite mass. Additionally, something of infinite mass would require infinite energy to drive this mass forward. So, unfortunately for those longing for space vehicles capable of jumping into hyperspeed, they will have to live with the reality that reaching the speed of light is not a possibility.

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The Speed of Light (or so we think)

To measure the speed of anything, the simplest thing to do is to measure how long it takes to travel a known distance. By dividing the distance over the time, we obtain the speed:

Speed = Distance / Time

However, measuring the speed of light is not so easy. Colloquially known as about 3 x 108 m/s, how was the speed of light determined?

Many attempts to measure the speed of light have been thought of, such as having a beam of light travel a distance while having two observers (required as just one observer won’t be able to tell if light reached the end) clock-in, but issues such as synchronization of the two clocks disallow this method from bearing fruit. The method of using a mirror, is much easier, and does not have an issue of stationary vs. moving observers, and might look like this:

Veritasium on YouTube: “Why No One Has Measured the Speed of Light”

By using this method, the speed of light can be determined, as one clock can track how long a beam of light took to travel a distance d and reflect back the same distance d. Thus, what can be seen is the two-way speed of light, or how long it take light to travel 2d.

What Veritasium alludes to is the fact that the one-way speed of light, or the time it takes light to travel a distance d has not been determined. As such, quite a few theories can fit into “our current understanding”:

c ≈ 3 x 108 m/s in both directions < 3 x 108 m/s – x in one direction and x in the opposite < c ≈ 1.5 x 108 in one direction and instant in the opposite

What is more, is that either observer would not notice any difference if the speed of light was not what we thought it to be. I find this rather intriguing, and wonder if the speed of light may not be just a constant. What may be the most interesting case is if light has a speed of c/2 in one direction and instant in the reverse and the implications this solution may have.

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How Big is the Universe?

image by Pablo Budassi | Map of the Universe

The universe is so big that we can’t even begin to comprehend its true size. First, we can look close to home and realize how big even our own Solar System is. The moon is the furthest place humans have voyaged, sitting at about 200,000 miles away. The next planet over(Mars), however, can be up to 1000x further at about 200 million miles! The furthest space probe we have sent out, Voyager 1, seems to be promising in how well it can reach out and explore the distant universe. It is currently traveling at 11 miles per second, at 14 billion miles from Earth. However, at this rate, Voyager 1 will need to travel for at least 30,000 more years to just leave our Solar System! And to reach the nearest star, Proxima Centauri, it would take over 70,000 years. And let’s say we wanted to drive in a car on some magic road to Proxima Centauri, it wouldn’t take long– only 6x longer than the age of the universe! When we zoom out to the entire observable universe, it gets bigger than we can comprehend or understand. The observable universe is about 93 billion light-years wide, or 1 quadrillion times the distance from the Earth to the Sun. It contains more stars than are grains of sand on all the beaches and deserts of Earth. And this is just what we know and can see. Outside the observable universe could be thousands of times bigger and we would have no idea since the light hasn’t had enough time to reach us. Overall, we must appreciate the outrageous scale to which we can measure our universe and understand that our place in the cosmos, Earth, is extremely random and insignificant. Do you feel small yet?

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blog post 01

Solstices and Equinoxes

The winter/summer solstices are, respectively, the shortest and longest periods of sunlight during the calendar year. The vernal/autumnal equinoxes are days in which the amount of time the day has with sunlight and without are of equal length.

The Seasons, the Equinox, and the Solstices

Days that are solstices/equinoxes demonstrate the formal change in seasons. This occurs because the Earth is positioned at a tilt which differs in position (towards/away from the Sun). If the Earth wasn’t tilted, there would be no solstices/equinoxes because there would not be a noticeable change in seasons as the calendar year progressed (Britannica). The area at which you lived would have the same amount of direct sunlight year-round. Solstices are marked for the beginning of the summer/winter seasons, while equinoxes mark the beginning of spring/fall. These demarcations, however, are opposite on the Northern and Southern Hemispheres. Anyone who lives by or on the Equator of Earth doesn’t have solstices/equinoxes because the amount of sunlight is relatively constant year-round.

When the area you live is tilted its maximum toward the Sun, you will have summer solstice. If it is at its maximum tilt away from the Sun, you will be experiencing the winter solstice. The vernal/autumnal equinoxes, however, occur when the Earth’s tilt is relatively straight up and down (neither toward nor away from the Sun).

If the Earth wasn’t tilted, and we had no seasons, how would our lives be different?

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Blog 1 – Solar and Lunar Eclipses

Hello everyone, the topic that I am choosing to blog about this week is the similarities and differences between solar eclipses and lunar eclipses. Firstly, we can define an eclipse as a moment in time in which one celestial body, be it a moon, planet, asteroid, or star, effectively blocks out a significant portion of light (usually light generated from a star) from reaching another entity. It is important to note that Earth is not the only planet in our solar system that experiences eclipses, as other planets, such as Jupiter, experience them as well as they also have the moons that are necessary to create such conditions. A solar eclipse can be defined as when the moon appears to cover the Sun, getting in between the Earth and the Sun. A solar eclipse is experienced on Earth as a short period of darkness, lasting up to a couple minutes, during the daytime. Depicted below is a solar eclipse.

Image Source

On the other hand, a lunar eclipse occurs when the moon is covered by Earth’s shadow. This happens when the Earth intersects the light between the moon and the sun. Since the Earth is so much larger in volume and surface area than the moon, it can cast a much larger shadow than the moon is capable of producing on Earth, meaning that while solar eclipses are relatively short lived, lunar eclipses can last up to 90 minutes. A lunar eclipse is viewed on Earth as a phenomena known as a blood moon, when the moon turns a orange and red color. This happens because the most of the light reaching the moon is actually reflected from Earth’s atmosphere, not the sun, which gives the moon a unique orange color. Below is how a lunar eclipse works.

Image Source

Now that we understand what an eclipse is, the different types of eclipses, and how they vary, the next question would seem to be do eclipses happen in other solar systems beyond our own, and how would we be able to measure such eclipses? Although we do not have quantitative proof of any occurrences yet, I personally think that it is very likely that eclipses would occur in other solar systems besides our own because the only factors really necessary to make them happen is the existence of a star, a planet, and a sizable moon, which to me doesn’t appear to be that demanding to ask for.

Let me know below in the comments what your thoughts are about the possibility of eclipses in other solar systems.

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