Education Astronomy - A Bevy Of Black Holes In Our Galaxy's Secretive Heart


By Judith E Braffman-Miller

Our Milky Way Galaxy has a secretive heart of darkness, enshrouded in mystery, and well-hidden from our sight. Within this strange region, there resides a powerful gravitational beast--a supermassive black hole named Sagittarius A*--or Sgr A* (pronounced saj-a-star) for short, that weighs millions of times more than our Sun. Although Sgr A* has kept its many secrets hidden from the prying eyes of curious astronomers, it is now finally beginning to tell its story--and what a story it is! In May 2018, astronomers using NASA's Chandra X-ray Observatory, announced that they have discovered evidence of the existence of thousands of relatively small stellar-mass black holes, performing an exotic ballet near the dark heart of our Galaxy, where Sgr A* dwells. Black holes of stellar mass typically weigh-in at between 5 to 30 times solar-mass, and this newly discovered treasure trove filled with these "smaller" objects lies within three light years of where Sgr A* reigns in secret, sinister splendor--a bewitching heart of darkness that keeps things to itself.

Three light-years is a very short distance on cosmic scales. Theoretical studies of the dynamics of stars inhabiting galaxies have suggested that a significant population of stellar-mass black holes--perhaps as many as 20,000--could wander inward as time goes by, ultimately gathering around Sgr A*. This recent study using data obtained from Chandra provides the first observational evidence for the existence of such a bevy of bewitching black holes in the heart of our Milky Way.

Stellar-mass objects are born as the result of the gravitational collapse of an especially massive star. This bizarre birth is usually heralded by a brilliant display of celestial fireworks called a supernova. Supernovae are the most powerful stellar explosions known, and they are so bright that they can frequently be observed all the way out to the very edge of the observable Universe--and they can actually outshine their entire galactic host for a brief blink of the eye on cosmic time scales. Stellar-mass black holes are frequently termed collapsars.

A stellar-mass black hole, that is tightly locked in a close orbit with a star, will steal gas from its unfortunate companion. Astronomers term these systems X-ray binaries. The stolen stellar material tumbles into a disk that heats up to millions of degrees and emits X-rays before vanishing into the hungry maw of the gravitational beast. Some of these X-ray binaries appear as point-like sources in the Chandra image.

Therefore, the black hole is observable in X-rays. In contrast, the victimized companion star can be observed by astronomers using optical telescopes. The energy release for both black holes and neutron stars are of the same order of magnitude and, for this reason, astronomers frequently find it difficult to distinguish between the two objects.

Neutron stars are the very dense, city-sized remains of a massive star that has perished in the blazing fireworks of a supernova explosion. Indeed, neutron stars are so dense that a teaspoon full of neutron star-stuff can weigh as much as a school of whales. Nevertheless, the massive stars that are the progenitors of neutron stars are not as massive as the stars that collapse to become stellar-mass black holes.

The good news is that neutron stars sport some identifying attributes. Neutron stars display differential rotation, and can possess both a magnetic field and localized explosions--termed thermonuclear bursts. Whenever these tattle-tale properties are observed by astronomers, the compact object inhabiting the binary system reveals itself to be a neutron star--rather than a stellar-mass black hole.

The derived masses come from observations of compact X-ray sources that combine optical data with X-ray data. All of the neutron stars that have been identified so far show masses below 2.0 solar-masses. None of the compact systems with masses above 2.0 solar-masses, that have been observed, display the properties of a neutron star. Therefore, the combination of these properties makes it increasingly more probable that the class of compact stars sporting masses above 2.0 solar-masses are truly stellar-mass black holes.

Our Galaxy hosts several stellar-mass black hole candidates, which reside closer to Earth than Sgr A*. Most of these candidates are members of X-ray binary systems in which the compact member of the duo steals stellar material from its partner by way of the accretion disk.

No Hair

A black hole--of any size--can be described as having only three properties. According to certain so-called "no hair" theories, a black hole has three fundamental properties: mass, electric charge and spin (angular momentum). Scientists generally believe that all black holes are born in nature with a spin. However, no definite observation of this spin has been recorded--at least, not yet. The spin of a black hole of stellar-mass is due to the conservation of the angular momentum of the massive progenitor star that produced it.

The gravitational collapse of a massive star is a natural process. It is inevitable that when a massive star at last reaches the end of that long stellar road--in which all of its stellar energy sources are depleted--it collapses under the relentless pull of its own gravity, and then blows itself to smithereens in the fiery grand finale of a supernova blast. If the mass of the collapsing portion of the progenitor star is below the limit for neutron-degenerate matter (Tolman-Oppenheimer-Volkoff--TOV--limit), the end result is a compact star. The compact star can be either a white dwarf or a neutron star--but it may also be a still-hypothetical stellar object called a quark star. However, if the progenitor star, that is in the process of collapsing, sports a mass greater than the TOV limit, the intense squeeze of its own gravity will go on and on and on until zero volume is reached and a new stellar-mass black hole is born around that point in space.

According to Albert Einstein's Theory of General Relativity (1915), a black hole of any mass can exist in nature. The lower the mass, the higher the density of matter has to be in order to give rise to a black hole. No known process can form a black hole with a mass less than a few times solar-mass. If there are black holes that small, existing anywhere in the Universe, they are probably primordial black holes.

Over the past twenty years, astronomers have managed to gather sufficient evidence in support of the idea that our Milky Way does indeed host a supermassive beast in its secretive heart of darkness. There, hidden in our Galaxy's center, it waits for its dinner--a shredded star, perhaps, or a cloud of doomed gas. Because this mysterious object lurks relatively close to our own planet, it provides valuable information to astronomers about the bewitching, bothersome, and bewildering way extreme gravity behaves. For this reason, Sgr A* also sheds fascinating new light on General Relativity. Because black holes are so completely black, astronomers try to understand their exotic properties by observing the light that is emitted from the searing-hot, glaring gas immediately surrounding them (accretion disk).

Treasure-Trove Of Stellar-Mass Black Holes

A team of astronomers, led by Dr. Charles Hailey of Columbia University in New York, used data derived from Chandra to hunt for X-ray binaries that contain black holes residing close to Sgr A*. The scientists studied the X-ray spectra (the amount of X-rays observed at differing energies) of sources residing within approximately 12 light-years of our Milky Way's supermassive dark heart.

The team then went on to select sources displaying X-ray spectra similar to those of known X-ray binaries that showed relatively large amounts of low-energy X-rays. Using this technique, the scientists were able to spot fourteen X-ray binaries located within about three light-years of Sgr A*. A duo of the X-ray sources are thought to contain neutron stars. This probability is based on the detection of characteristic neutron star outbursts seen in earlier studies. For this reason, the two sources were eliminated from the analysis.

Dr. Hailey and his team concluded that most of the remaining X-ray binaries probably contain stellar-mass black holes. The amount of variability that they have displayed over the passage of years is different from that predicted for X-ray binaries hosting neutron stars.

Only the most brilliant X-ray binaries containing black holes are detectable at the distance our Galaxy's resident supermassive black hole is from Earth. For this reason, the detections included in this research suggest that a considerably larger population of undetected, fainter X-ray binaries (at least 300 to up to a thousand) host stellar-mass black holes in the general neighborhood surrounding Sgr A*.

This population of black holes, that possess a stellar companion close to Sgr A*, could shed new light on the mysterious formation of X-ray binaries resulting from close passages between stars and stellar-mass black holes. This discovery could also help future gravitational wave studies. That is because knowing the number of black holes, lurking in the heart of a typical galaxy, can help astronomers better predict how many gravitational wave events may be associated with them. Gravitational waves are ripples in the fabric of Spacetime itself, and they provide astronomers with a new way to study the Universe.

An even larger population of black holes of stellar mass, that are solitary, with no companion star to call their own, should also be dancing around near Sgr A*. According to theoretical follow-up research conducted by Dr. Aleksey Generozov (Columbia University) and his colleagues, there should be more than approximately 10,000 stellar-mass black holes haunting the hidden dark heart of our Milky Way Galaxy.

While Dr. Hailey and his colleagues favor the stellar-mass black hole scenario for their findings, they are not ruling out the possibility that as many as 50% of the observed sources are really from a population of millisecond pulsars. A Millisecond pulsar is a rapidly, regularly spinning newborn neutron star, fresh from the funeral pyre of its progenitor star that perished in the brilliant blast of a supernova. Millisecond pulsars possess very powerful magnetic fields.

A paper describing these results appears in the April 5, 2018 issue of the journal Nature.

The Chandra X-ray Observatory is a space observatory launched by NASA on July 23, 1999.

Judith E. Braffman-Miller is a writer and astronomer whose articles have been published since 1981 in various magazines, journals, and newspapers. Although she has written on a variety of topics, she particularly loves writing about astronomy because it gives her the opportunity to communicate to others some of the many wonders of her field. Her first book, "Wisps, Ashes, and Smoke," will be published soon.

Strategic Planning - Painting Business Plan - 9 Tips For Creating A Killer Business Plan


By Lee Cusano

The ideal "painters marketing plan" should include these following components

1.) Finding All the Painting Customers You Can Handle. If you know how to do this you got it made and you can make as much money as you want. Whether a small, 1 to 2-man painting operation or a painting company that has a large painting crew, you can make it happen when you know how to find customers.

2.) Knowing How To Estimate Paint Jobs - for maximum profits, this is the second power stroke that should be in a painters marketing plan. When you know how to get as close to the "threshold of pain" as you can get, (the maximum you can charge someone before price resistance kicks in) whether residential or commercial, you can MAX your profits.

3.) Customer Retention - just how much is a painting customer worth to you? When you know that, you will really do whatever it takes to hang on to them. Finding new customers is not always as easy as painting for the existing ones. If they run out of things to paint over time, how many "referrals" can they give you? Why wait 10 years for them to call you again when you can be painting for their family and friends right now?

HERE ARE 3 WAYS TO SQUEEZE MORE PAINTING BUSINESS OUT OF EACH EXISTING CUSTOMER:

4.) Go the Extra Mile - always do a great job and even do a little more to please your customers. This gets you more repeat business and gets them talking about your painting service. And "word-of-mouth" advertising also kicks in, which is the BEST form of advertising there is!

5.) Thank You Cards - sending out thank you cards after every job completed "shows professionalism" and creates more business for us house painters. Plus they see your contact info again and will put it on file for future use.

6.) Customer Rewards - reward your loyal painting customers who give you lots of repeat business and especially those who refer you to others. Surprise them with a gift card for their favorite restaurant maybe.

7.) A Painting Business Newsletter - these are considered the BEST way to stay connected to your customers. E-mail newsletters are the easiest to send out. Physical mail newsletters get better response than digital ones. Using both in tandem is a winner. The idea is to "stay connected" and never let a customer lose your contact info. That could mean losing out on a $10,000 job maybe or even MORE!

8.) Word-of-mouth - again, this is by far the best form of advertising. Do everything you can to get your customers buzzing about your painting company (in a good way of course) and recommending you to new painting customers. This is the number one thing a painting business owner should incorporate in their painters marketing plan. It's like having a small private army of affiliates selling your goods for you.

9.) Offer Your Painting Customers A Referral Fee. Offer them a 10% - 20% commission for any new business they get you. This could be like putting "gas on a fire" for you. I've never had to pay anyone for referrals but it's an idea I thought I would mention anyway.

Lee Cusano has owned and operated his painting business since 1993 and has been showing others how to estimate and advertise theirs successful plus a whole lot more. Please his website at http://painting-business.com/ for a FREE Report!

Business Marketing - 5 Tips for Buyers for an Effective Product Sourcing


By Bruce Thomsan

Whether you are a seasoned buyer or new to the industry, your biggest secret to success lies in an effective sourcing. It is nothing but choosing and buying the right products for your brand from designers, manufacturers, and wholesalers, merchandising them in an attractive way and satisfying your customers' demands. This helps you in maximizing your sales and meeting your business goals. But, sourcing can be a challenge at times because you might encounter some challenges during the whole process. Like procurement of the best merchandise, costs involved and quality of the products, and many others.

So, here are 5 essential tips that will help you enhance your skills for an effective product sourcing:

1. Be a Good Researcher

To become a successful buyer, you need to be a good researcher. Since every project calls for a different strategy you need to put those extra efforts in learning and becoming more knowledgeable. This means researching what your target customers are looking for, from where you can get the best deals on the products for your store, and creating marketing strategies say, by partnering with local businesses.

2. Keep Yourself Organized

Sourcing is not a cake-walk, it is a serious business. You will have to deal with a lot of things like gathering relevant information and implementing on the tasks that are required to connect the right products with the right customers. For this you need to stay organized and build a system which will help you keep a track of line sheets, contacts, etc.

3. Stay Updated with the Latest Information

This is applicable to every industry. To be successful in a job or business, you always have to stay updated with the latest information. So, as a buyer make a habit of reading blogs and articles relevant to your business. You can also attend seminars, conferences, and trade shows to get deeper insights and increase your knowledge bank.

4. Focus on Building Stronger Relationships

The success of your business depends on the power of your connections and how strong your relationships are with people you are associated for your business. Look for ways which will help you build better and long term relations. Meet them in person and try to stay connected even after a project gets over.

5. Ensure Great Quality Products and Control Over the Costs Involved

Quality matters the most to customers and to win them, you need to maintain it. No matter what your line of business is, you should focus on offering the best quality products. And this is possible only by forming healthy relationships with designers and manufacturers. It will give you a chance to assess the products yourself and stay abreast of the money you are spending, ensuring timely delivery and good quality for your products.

Takeaways
These are some great sourcing tips that will help you deal with any challenges in the sourcing process. Implement them in your sourcing strategy and you will see the results. You can also consider collaborating with   global sourcing companies or buying agents that will assist you at every stage of sourcing and ensure you get the best products and value for your money.

Marketing - Spirituality and Your Business


By Ursula Jorch

Your business isn't just about marketing and income and strategy. It serves a higher purpose. It connects you with others. It serves the impact you want to have, your unique positive contribution to the world.

In order to have that impact, you've got to bring your whole self to whatever you're doing.

When I'm working with my clients, we talk a lot about authenticity in marketing. Authenticity includes bringing your thinking brain to the process, to your strategy. Authenticity includes bringing your feeling self to your marketing: laughter and emotion, your passion for what you do.

Authenticity also includes another realm. Bringing your authentic self into your marketing and your business includes bringing your spiritual self, your connection to the Divine.

Being connected to your spiritual self means you can market not out of desperation, but out of service. You can use your intuition, your inner guidance, blended with your knowledge and emotion to serve that higher purpose.

There's an African word, Ubuntu, that means "I am because of you". I once had a meeting in an African hut with that word painted on the outside. The hut sits in a village that South African leader Nelson Mandela often visited. Every morning, he walked through the village and reached out to everyone he met, connecting with them, just as you are connecting with the people you meet with your marketing, with your business.

In Mandela's honor, an art installation on his walking path, named Freedom's Way, was created, black and burnished metal pillars, 4 feet high at the side of the path, with words like Vision, Freedom, Courage, Resilience, Empathy, Trust, and Unity. Ubuntu.

Ubuntu speaks to our interconnectedness. "I am because of you" - Your spiritual self knows that. It knows that we are all connected with each other. So whatever you bring into the world that contributes in a positive way affects all of us.

One way you can bring your spiritual self directly into your marketing is with awareness of our interconnectedness, that we all are part of the greater Whole.

And you can offer yourself and what you bring by asking for help from your unconscious, the Universe, God, Spirit, whatever you want to call it. What content shall I share that will help bring something positive and beneficial into the world? How will I share it so that people can hear it?

"I am because of you" - Ubuntu. We are all connected. You can make a difference when you bring your whole self to what you do.

Ursula Jorch is a speaker, business coach and consultant who helps entrepreneurs grow a successful business that makes a difference in the world. A 21-year successful entrepreneur herself, Ursula helps you define the difference you want to make in the world and develop strategy and marketing so you have ever-expanding impact.

Find Ursula on her podcast, Work Alchemy: The Impact Interviews1 where she interviews impactful entrepreneurs and leaders like Seth Godin and Marianne Williamson, and at http://www.WorkAlchemy.com for free resources for you and your business.

Foot Health - Best Ways to Care for Your Feet to Avoid Common Feet Problems


By Andy Fish

When it comes to your feet, how much care and love do you give them? If you haven't, you're not alone. We often don't think about our feet until something happens to them. When we get even a blister, it can limit our ability to walk or even wear shoes. What was once a natural, everyday activity we don't put any thought in and in which we take for granted, now becomes more challenging.

There are many things that can put our feet at risk for injury. The most common culprits are flat sandals, high-heels, wearing shoes that are too big or too small, not properly washing the feet, not wearing socks white wearing shoes, not controlling underlying health issues that contribute to foot problems such as diabetes and not keeping one's toenails properly trimmed.

However, what if you have an injured or infected foot? How can you prevent such discomfort to your feet from happening again?

Here are some easy, simple activities you can do to help keep your feet in tip-top shape. After all, happy feet mean a happy you:

1. Stretching. The act of walking, sitting, standing, going up and down stairs and the like can be seen as some sort of physical activity. While they may not technically count as exercise, you are putting in effort. Stretching your foot is a great way to strengthen the muscles, tendons and joins in your feet that can cause possibly painful discomfort. Those with plantar fasciitis, for instance, can greatly benefit from short, daily stretching of the feet.

2. Wear Inserts or Orthotics. Shoe inserts and orthotics are great for making shoes comfortable by shaping them to the individual shape and contours of your feet. They can make otherwise painful and uncomfortable shoes that you'd always wanted to wear, bearable to wear. Orthotics and inserts can relieve pressure, reduce rubbing and provide the unique, specialized support your feet need to be pain-free. There are many types and quality of orthotics out there, so it is important to consult with your podiatrist as to which ones will be best for your particular foot pain or condition.

3. Don't Go Barefoot. While it seems to be popular both for hip style reasons and for perceived foot, joint and leg health reasons, to go barefoot or wear flat shoes that mimic being barefoot, it is advisable to avoid the temptation to go barefoot. While it may seem natural, going barefoot increases your chances of getting warts on your feet as well as tendonitis. When you go barefoot, you also risk injury to the bottom of your feet. Whether you're walking on some cool grass or in the driveway, sharp objects such as rocks and pieces of glass can cut the bottom of your feet. Being barefoot can also increase your risk of getting burns and frostbite to the bottom of your feet as well, such as when you briefly walk on a sizzling road or driveway in summer or briefly step outside to get the newspaper on a cold, snowy, winter day.

4. Wear Proper Footwear. High-heels as well as flat shoes such as flip-flops and sandals can cause strain on your feet as well as give your feet blisters and warts. These types of footwear also can lead to joint, tendon and muscle pain in your legs, hip and back as well.

5. Wear Shoes That Fit. Wearing shoes that are too big can cause blisters. Shoes that are too small can lead to ingrown toenails and crunched toes. While it may not seem practical to be constantly buying shoes, it is well worth the investment. After all your feet are important and so is their care.

While you may not notice the difference your feet make in everyday life, their care and health are important. If you have chronic foot conditions or pain, talk to your podiatrist to get recommendations on effective treatment.

Foot Health - Best Shoes to Ease Plantar Fasciitis


By Andy Fish

If you experience the excruciating heel pain of plantar fasciitis, wearing shoes and going about all day on your feet can be challenging.

Despite the many exercises you do and the countless orthotics you use, it's hard for you to find a shoe that is both stylish and comfortable.

As you've gone out shoe-shopping, you notice that shoes that are designed for this foot issue can be quite expensive.

While there aren't any shoes that can treat or cure your plantar fasciitis, there are plenty of shoes that can help minimize your pain. Before taking the plunge into the investment of a pair of expensive shoes, here are things to look for in a shoe that can ease your pain and discomfort:

Arch support

Provide a rocking motion

Proper alignment

Easy to slide on and off

Closed-in heel that makes the heel stay on your foot

Firm, yet flexible mid-sole

Deep heel cup

Removable insole

Available in wide sizes

Shock absorption

Rounded toe box

For professional women, it can be even more difficult in finding shoes that are appropriate for the office as well as being comfortable. Many think that heels and plantar fasciitis don't mix. This, however, is only partially accurate. While very high heels will cause aggravation and pain, heels two inches or less commonly provide relief.

Most shoes that are designed to relieve this condition will give added support and comfort that takes the pressure, stress and shock off the fascia.

What is Plantar Fasciitis?

You likely have heard of plantar fasciitis or know of at least one person who has it. Maybe you have experienced severe pain in your heel or in the arch of your foot. While it is recommended that you talk to your podiatrist about your foot issue, as he or she will be able to properly diagnose your foot condition.

Here is a brief description of what this condition is:

Plantar fasciitis is a painful, common foot condition where the fascia in the heel becomes inflamed, irritated or overly thickened. The fasciitis is the ligament that runs along the bottom of the foot, starting at the heel and going to the ball of the foot.

When the fasciitis pain occurs, it is usually felt in the heel and the arch of the foot. Painful flare-up occur right when one gets up from bed in the morning or who has just stood up after a long time of sitting. Plantar fasciitis can be caused by a variety of things including working long hours on the feet, being overweight, exercising too rigorously, experience an injury, having flat feet or too high of arches in the feet or a shortened Achilles tendon.

While living with plantar fasciitis is a painful challenge, there are shoes out there that can provide much-needed relief. Shoes designed for plantar fasciitis problem relief can also be stylish and appropriate for work.

Certain stretches and exercises and orthotics can complement your shoes to give your feet the comfort and support they need, which in turn can help you go about with your life.

If you have any questions about plantar fasciitis or shoe or orthotic recommendations, contact your podiatrist.

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