Categories
astronomy cepheid variable physics solar system

How Do We Measure Distances in Space: The Cosmic Distance Ladder Part 1

Courtesy of http://www.as.utexas.edu

Part 1

This will be a 2 part discussion about the Cosmic Distance Ladder. Part 1 will cover the Parallax method, Spectroscopic parallax, and Main sequence fitting as methods to determine the distance of stellar objects from Earth. I will begin by defining some astronomical units of measure and then discuss the techniques used to measure the distance of objects throughout our Solar System, the Milky Way galaxy, and the Universe.

Part 2 will focus on the use of variable stars, such as Cepheids and RR Lyraes, as well as nearby galaxies. We will also explore The Tully-Fisher Relationship, and Hubble’s Law to determine the distance of objects deep in our universe. I hope that after reading part 1 & 2 you will have a better understanding of how the distance of objects from our Solar System to the ends of the Universe are determined.

The moon is roughly 250,000 miles from Earth, the sun is 93 million miles from the Earth or 1 astronomical unit away (AU). The next nearest star to the Earth, Proxima Centauri is 4.3 light years (ly)away. The Milky Way Galaxy is 30,000 parsecs (pc) or 30 kiloparsecs (kpc) measured from one side to the other. What do some of these units of measure such as light year, astronomical unit, and parsec mean? How do we actually know how far these objects are from Earth or how far apart they are from each other?

Astronomical Units of Measure

1 AU of astronomical unit is equal to the average distance between the Earth and Sun which is 149,598,000 km (92,955,887 miles.) This unit is used to describe distances within our solar system. Neptune, for example, is 30.1 astronomical units from Earth. This equates to about 2,700,000,000 miles. It is much easier to to calculate using 30.1 au then it is to use 2.7 billion miles.

1 ly or light year is the distance light travels in a year. It may sound as if it is a measure of time but it is actually a measure of distance. 1 light year is equal to 5,878,630,000,000 miles. It is much easier to think and calculate using light years when dealing with the enormous distances associated with the universe.

The Hertzsprung-Russell diagram or HR diagram is “… a graph that is used for making stellar calculations. It gives the relationship between the luminosity of stars against their type and temperature” according to https://universavvy.com/astrophysics-hertzsprung-russell-diagram-explanation. This diagram can be used to classify, trace the life cycle, as well as teach about the how stars work.

An HR diagram plotting luminosity v temperature. Courtesy of mtholyoke.edu

Stellar Parallax and the Parsec

In order for our discussion of parsec to make sense I am going to discuss the phenomena of parallax first and then tie it into our description of a parsec. On the cosmic distance ladder, parallax is the only direct method we have to measure distances to stars. To give you an easy and quick example of parallax hold one arm straight out in front of you and point your thumb to the sky. Now alternate opening and closing your right and then your left eye. The apparent movement of your thumb is an example of parallax.

Astronomers can use this idea to measure the distance of a star. In the image below you can see the position of the Earth six months apart. The angle of parallax can be measured by comparing how the star has shifted as compared to the stars behind it. You can see that a triangle has been formed between the star and the two positions of the Earth six months apart. By using some trigonometry you can determine the distance to the star. This method of measuring distance is limited because the parallax angle for more distant stars is to small for us to measure.

Courtesy of gaia.ac.uk

1 pc or parsec is equal to 3.26 ly or 206,280 AU. I know what you are thinking, Han Solo said about the Millennium Falcon “it’s the ship that made the Kessel run in less than 12 parsecs.” https://youtu.be/fjYuw6zWk_Y Maybe “in a galaxy far, far away” a parsec is a measure of time, but in our galaxy it is a measure of distance. The definition of 1 parsec is the distance to an object which has a Parallax angle of 1 arscencond. You can see the term parsec is a combination of parallax and arcsecond. To measure the distance, in parsecs, using parallax angle you use the equation d = 1 AU/p” where p is the parallax angle. Your answer will be the distance in parsecs. This method of calculating distance only works for stars that are within roughly 300 parsecs or 978 light years from Earth, beyond that distance the parallax angles are to small to measure.

Courtesy of supportparsecgaming.com

Spectroscopic Parallax

According to https://www.atnf.csiro.au/outreach/education/senior/astrophysics/photometry_specparallax.html “The term spectroscopic parallax is a misnomer as it actually has nothing to do with parallax. It is, however, a way to find the distance to stars. Most stars are too far away to have their distance measured directly using trigonometric parallax but by utilising spectroscopy and photometry an approximate distance to them can be determined.”

So then what is spectroscopic parallax and how does it help us determine the distance of stars? Astronomers determine the spectral and luminosity class of a given star. Using photometric equipment the apparent magnitude and color index can be determined. The star is placed on to the HR diagram and its apparent magnitude is deduced. At this point an equation called the distance modulus equation is used to determine the distance in parsecs of the star. According to Australia National Telescope Facility “In practice this technique is not very precise in determining the distance to an individual star…..Nonetheless it is still an important methods for estimating distance to stars beyond direct trigonometric parallax measurement.”

Main Sequence Fitting

Main sequence fitting as a method of determining cosmic distance is done by comparing the relative distance of open clusters to the distance of the Hyades galaxy which has a known distance. An open cluster according to https://www.sciencedaily.com/terms/open_cluster.htm is “a group of up to a few thousand stars that were formed from the same giant molecular cloud, and are still loosely gravitationally bound to each other.” The stars in these clusters are believed to have been formed at the same time and located the same distance away from Hyades. The distance of Hyades was found via direct measurement using stellar parallax.

Scientists will measure the spectra of the cluster to determine “spectral type, luminosity, and temperature and define a main sequence” according to Teach Astronomy https://www.youtube.com/watch?v=hq29cjeR2o4. Scientists compare the shift between the open cluster and the Hyades galaxy on the HR diagram and use the inverse square law to determine the relative distance between the open cluster and the Hyades galaxy. The inverse square law states that the the light will get dimmer by a factor of the square of the distance away from the source of light.

Courtesy of astro.unl.edu

Next week we look at part 2 of the Cosmic Distance Ladder which should give you a fuller picture of how astronomers determine the distance of objects throughout our universe.

Categories
astronomy Dark Matter physics

What is Dark Matter all About?

You may have heard of the terms dark matter and if you read my post from last week then I know you have heard of dark energy. Let’s talk about dark matter, what it is and why it is called “dark”. We know a black hole is called black because it is not visible to us and even light can not escape its gravitational pull. So is dark matter called dark because we can’t physically see it? Well, yes actually. We are unable to detect it directly and are only able to infer its existence by the effects it has on other objects. So let’s take a closer look at what dark matter is and what it does.

What is Dark Matter?

Dark matter comprises about 27% of the universe and dark energy makes up about 68% of the universe which means that only 5% of the universe is comprised of matter as we know it. This “normal” matter is called baryonic matter and is the matter we traditionally think of. Protons, electrons, atoms, anything that makes up everything from people to stars are made from baryonic matter. Dark matter, like dark energy is called dark because we are unable to detect it directly. Dark matter does not interact at all with the electromagnetic spectrum which means it does not reflect light, absorb light, or emit anything we can detect. As of yet no one has been able to directly observe dark matter. Dark matter is thought to be a previously undiscovered subatomic particle that does not respond to the strong or weak nuclear forces.

The key point here is that when scientists account for all the visible or detectable mass in the universe it doesn’t add up to be enough to account for the gravitational effects we observe. As stated above only about 5 % of the universe is normal or baryonic matter so that means the most of the gravitational interactions in the universe are a result not of baryonic matter but of something else. We call this something else dark matter.

Image result for dark matter dark energy pie chart
Courtesy of mcdonaldobservatory.org

There are several ideas as to what actually comprises dark matter. Speculation includes dim brown dwarf stars, white dwarfs, neutron stars and even black holes. Some scientists have dismissed theses objects as dark matter candidates because the gravitational effect needed to make up the “missing mass” doesn’t match the gravitational effect observed by these objects. Others have stated that the “missing mass” may simply be normal baryonic matter that is simply more difficult to detect.

WIMPs and MACHOs

Weakly interacting massive particles or WIMPS are theoretical particles of non baryonic matter which have somewhere between 10 and 100 times the mass of a proton yet interact very weakly with normal or bayronic matter so they are difficult to observe. If WIMPS are what make up dark matter then there should be 5 times as many WIMPS as normal matter. We should be able to detect them as they do interact with normal matter and the sheer abundance of them should allow us to detect them through collisions with each other. So far no WIMPS have been discovered.

Massive astrophysical compact halo object or MACHO is another candidate for the composition of dark matter. These are objects composed of bayonic matter but are difficult to detect because they emit very little to no light. These include the neutron stars, supermassive black holes, and brown and white dwarfs as mentioned earlier. Because they emit so little light one way to detect them is through gravitational lensing which we will discuss a bit later. It appears that there are not enough of these objects throughout the universe to make up the “missing mass”.

Image result for WIMPS and MACHOS dark matter
Courtsey of slideplayer.com

Other Dark Matter Candidates

Neutrinos are particles that aren’t associated with and don’t interact with baryonic matter. Neutrinos stream from the sun and pass through all regular matter, including us all the time. They are difficult to detect as they do not interact with matter. A new type of neutrino is thought to make up dark matter by some in the scientific community. Sterile neutrinos are a theoretical type of neutrino that have been proposed, they only interact with baryonic matter via gravity.

The Kaluza-Klein particle is a theoretical particle that would interact with the electromagnetic spectrum as well as gravity which should make them easy to detect. These particles are thought to exist in the fifth dimension making them difficult but not impossible to detect. The Kaluza-Klein particle is predicted to decay into particles we can readily observe, such as neutrinos and photons. As of yet though, none of these exotic particles have been observed.

How Do We Know Dark Matter Exists if We Can’t See It?

There are three pieces of evidence used to prove the existence of dark matter even though we can not detect it directly. The first is the speed of stars rotating on the outside edge of spinning galaxies. The stars on the outer edge should move at a much slower rate than those close to the center where most of the baryonic mass of the galaxy is contained. Direct observation has shown that these stars, at the outer edge of the galaxy, are moving at a rate very close to the rate of stars closer to the center. This has led scientists to the conclusion that there must be some mass distributed throughout the galaxy exerting a gravitational effect on the stars farther out from the center.

Stars, as it turns out, orbit their parent galaxy. By using Newton’s equations of force and the Universal Law of Gravitation we know that the force that causes the star to orbit in a circular orbit are equal to the force due to gravity on the star. If these forces were not equal then the star would careen into the center of the galaxy or fly off into space. Close to the center of a galaxy these forces are approximately equal as expected. Stars farther out from the center don’t appear to have these forces equal. So there has to be something going on to keep these stars in orbit. Dark matter is one such explanation.

Image result for dark matter graph
The graph depicts the discrepancy between the expected velocity (A) and actual velocity (B) of a star as the distance from the center of the galaxy, where most of the baryonic matter is located, increases. Courtesy of popscicoll.org

Gravitational lensing is a well documented phenomena in which massive objects distort the fabric of space time. Light must travel along this fabric and if there are massive objects distorting this fabric then the the source of light may appear shifted from the actual position as a result of distortions in space.

Image result for gravitational lensing
A visualization of gravitational lensing. Courtesy of agitatorgallery.com
Image result for gravitational lensing
An example of gravitational lensing. Courtesy of socratic.org
Gravitational lensing as a result of dark matter. Courtesy of nasa.gov

The third piece of evidence supporting dark matter is the the Bullet Cluster Galaxy merger. Two galaxies collided and due to only about 2% of a galaxy being made up of stars and roughly 5-15% being made up of gas and plasma there is a low probability of any baryonic matter colliding with one another. After the merger of the two galaxies gravitational lensing of background objects allowed scientists to determine where the accumulations of mass were located. It turns out that the dark matter was separated from baryonic matter in large enough quantities to cause gravitational lensing.

Image result for bullet cluster gravitational lensing
Courtesy of nanoqed.org

What if the Missing Mass is the Result of Something Else?

Not everyone is ready to accept that dark matter is responsible for the “missing mass” problem in the universe. Some scientists believe the problem isn’t that mass is missing but rather our theories and equations are incorrect. One particular idea is that Newton’s laws require a modification so that they match the observed behavior of galaxies. Those that support this idea have developed MOND or Modified Newtonian Dynamics as an alternative to dark matter. This theory suggest in situations when the acceleration rates are low Newton’s laws do not accurately describe the motion of galaxies. This alternative to dark matter is as still being developed and refined to better match observation.

Image result for dark matter theory
Courtesy of quantamagazine.org

Scientists know that the amount of baryonic matter which they are able to detect is not enough to hold galaxies together or keep stars from flying off into space rather than orbiting their parent galaxy. What is unknown is the precise mechanism causing the behavior observed by galaxies and stars. Dark matter is certainly the most widely accepted theory about our “missing mass” problem but it is by no means the only theory.

Categories
astronomy physics

Neutron Stars: What are they and why should we care?

Image result for neutron star
Courtesy of sciencealert.com

Neutron stars: One of the universe’s most exotic and bizarre objects.

Most people are familiar with black holes and understand that they are created when a massive star, one that is greater than 30 times the mass of the sun, dies. Stars that are similar in mass to our sun ranging from about .3 times the mass to 8 times the mass of the sun become red giants when they die. So what exactly is a neutron star? Neutron stars are the result of a collapsed star that is approximately 25-30 times the mass of our own sun. The star goes supernova at the end of the its life. When a star runs out of nuclear fuel and nuclear fusion within the core slows, the result is a decrease in pressure. This drop in pressure causes the star’s core to compress under the strain of it’s own gravitational forces. Without the offsetting pressure to maintain the stars structure the core collapses in a few thousandths of a second.

Neutron star via NASA
Courtesy of NASA

The core temperature of a star that has gone supernova may exceed billions of degrees Celsius or 100 000 000 000 K. The star undergoes a fantastic explosion that is called a supernova. The luminosity of a supernova may be up to 10 billion times greater that of our own sun. The supernova may even outshine its entire galaxy for a few days. The rate at which core collapse supernova occur is approximately 1 supernova per century per galaxy.

Once a star within the 25-30 times the mass of our sun has gone supernova, what happens to its left over core? One possibility is that the core stabilizes and becomes a neutron star. A neutron star is thought to be composed of a super-fluid an exotic friction free state of matter of neutrons. The electrons and protons inside the star have been compressed to create the neutrons found in the super-fluid state. A neutron star may be only 12 miles in diameter and have a mass of 1.3-2.5 the mass of the sun. So how did a star that was 25-30 the mass of our sun end up being a core that is only 1.3-2.5 times the mass of our sun? When the core of the star is collapsing the outer layers of the star get removed due to the large amount of energy that is released by the star. A large majority of the energy released by the star is in the form of neutrinos (99% of the energy) while the remaining energy released is in the form of light. The matter within a neutron star is so densely packed into the 12 mile diameter that a sample of the neutron star the size of a cube of sugar would weigh 1 billion tons.

Why should we care about neutron stars?

Scientists have long wondered where elements heavier than iron were created. Dying stars produce elements up to iron but little was known how the heavier elements were produced. As it turns out during a supernova, heavier elements including gold and platinum may be produced. In order for these heavier elements to be produced a neutron rich environment is needed. A process called ‘r-process’ or rapid neutron capture process is used to create these heavier elements. Neutron stars, as you might guess from the name, provide just such a neutron rich environment. One theory suggests that the merger of neutron stars is a mechanism for r-process and the creation of these heavy elements.

Interesting facts about neutron stars

  • The gravity of a neutron star is approximately 200 billion times greater than gravity on Earth.
  • The magnetic field of a neutron star is approximately 1 trillion times greater than on Earth.
  • The electric fields of a neutron star are 30 million times more powerful than a bolt of lightning.
  • Neutron stars rotate several hundred times per second with the fastest known neutron star, PSR J17482446ad, rotating over 700 times per second.
  • There are about 100 million neutron stars in the Milky Way galaxy.
  • There are 2 known neutron stars to host planets.