The outburst took place in a galaxy called NGC 4993, located roughly a thousand billion, billion km away in the Constellation Hydra.
It happened 130 million years ago - when dinosaurs roamed the Earth. It was so far away that the light and gravitational waves have only just reached us.
The stars themselves had masses 10-20% greater than our Sun - but they were no larger than 30km across.
They were the crushed leftover cores of massive stars that long ago exploded as supernovas.
They are called neutron stars because the process of crushing the star makes the charged protons and electrons in the atoms of the star combine - to form an object made entirely of neutrons.
Such remnants are incredibly dense - a teaspoonful would weigh a billion tonnes.
In the landscaped campus of one of the laboratories that made the detection, a fountain sprays jets of water skyward which are then pulled back down by gravity, sending ripples across the crystal clear pond.
The LIGO detector, sitting incongruously in the vast woodland of Livingston in Louisiana, was designed to detect the gravitational ripples across the Universe created by cataclysmic cosmic events.
Since it was upgraded two years ago, it has four times sensed the collisions of black holes.
Gravitational waves caused by violent events send ripples through space-time that stretch and squeeze everything they pass through by a tiny amount - less than the width of an atom.
Image copyrightNSF/LIGO/SONOMA STATE UNIVERSITY/A.SIMONNETImage captionArtwork: Merging neutron stars rippling across space-time
The LIGO lab at Livingston consists of a small building with two, two-and-a-half-mile pipelines stretching out at right angles. Inside each pipe is a powerful laser accurately measuring any change in its length.
I walk along one of the pipes with Prof Norna Robertson, a Scot who used to work at Glasgow University - and more recently helped to design the instrument's detection system.
Prof Robertson's work has helped the LIGO-VIRGO Scientific Collaboration to make the first ever detection of the gravitational waves given off by the collision of two neutron stars.
"I'm really thrilled about what we have done. I started off as a student in Glasgow 40 years ago working on gravitational waves. It's been a long long road; there have been some ups and downs but now it's all come together," she told BBC News.
"These last couple of years, first of all with the detection of black holes mergers and now a neutron star merger, I really feel we are opening up a new field, and that's what I wanted to do and now we've done it."
The detection enabled 70 telescopes to obtain the first ever detailed pictures of such an event.
These show an explosion 1,000 times more powerful than a nova - a burst called a kilonova.
Gravitational waves - Ripples in the fabric of space-time
Media captionA visualisation shows the coalescence of two orbiting neutron stars
Gravitational waves are a prediction of the Theory of General Relativity
It took decades to develop the technology to directly detect them
They are ripples in the fabric of space-time generated by violent events
Accelerating masses will produce waves that propagate at the speed of light
Detectable sources ought to include merging black holes and neutron stars
Ligo/Virgo fire lasers into long, L-shaped tunnels; the waves disturb the light
Detecting the waves opens up the Universe to completely new investigations
Researchers had suspected that this huge release of energy leads to the creation of rare elements, such as gold and platinum.
Dr Kate Maguire, from Queen's University Belfast, who analysed the collision's burst of light, said that the theory was now proven.
"Using some of the world's best telescopes, we have discovered that this neutron star merger scattered heavy chemical elements, such as gold and platinum, out into space at high speeds.
"These new results have significantly contributed to solving the long-debated mystery of the origin of elements heavier than iron in the periodic table."
Dr Joe Lyman, of the University of Warwick said described the observations as "exquisite".
"They tell us that the heavy elements, like the gold or platinum in jewellery are the cinders, forged in the billion degree remnants of a merging neutron star."
Improvements coming
It was also direct confirmation that short bursts of gamma-ray radiation are linked to colliding neutron stars.
By combining information from gravitational waves and the light collected by telescopes, researchers also used a new technique to measure the expansion rate of the Universe. This technique was first proposed in 1986 by the University of Cardiff's Prof Bernard Schutz.
Prof Stephen Hawking of Cambridge University told BBC News that this was "the first rung of a ladder" for a new method of measuring distances in the Universe.
"A new observational window on the Universe typically leads to surprises that cannot yet be foreseen. We are still rubbing our eyes, or rather ears, as we have just woken up to the sound of gravitational waves," he said.
Image copyrightNSFImage captionThe LIGO Louisiana lab has 4km-long pipes running out from its control centre
Prof Nial Tanvir, from Leicester University, uses the VISTA telescope in Chile.
He and his colleagues started searching for the neutron star collision as soon as they heard of the gravitational wave detection.
"We were really excited when we first got notification that a neutron star merger had been detected by LIGO," he said. "We stayed up all night analysing the images as they came in, and it was remarkable how well the observations matched the theoretical predictions that had been made."
LIGO is now being upgraded. In a year's time it will be twice as sensitive - and so will be able to scan eight times the volume of the space.
The researchers believe that detections of black holes and neutron stars will become common place. And they hope that they will begin to detect objects that they currently cannot even imagine and so usher in a new era of astronomy.
Keep these in mind as you contemplate the direction of the American government over the past 50 years and especially since the Obama election.
The Goals of Communism
(as read into the congressional record January 10, 1963, from "The Naked Communist" by Cleon Skousen)
1. U.S. acceptance of coexistence as the only alternative to atomic war.
2. U.S. willingness to capitulate in preference to engaging in atomic war.
3. Develop the illusion that total disarmament of the United States would be a demonstration of moral strength.
4. Permit free trade between all nations regardless of Communist affiliation and regardless of whether or not items could be used for war.
5. Extension of long-term loans to Russia and Soviet satellites.
6. Provide American aid to all nations regardless of Communist domination.
7. Grant recognition of Red China. Admission of Red China to the U.N.
8. Set up East and West Germany as separate states in spite of Khrushchev's promise in 1955 to settle the German question by free elections under supervision of the U.N.
9. Prolong the conferences to ban atomic tests because the United States has agreed to suspend tests as long as negotiations are in progress.
10. Allow all Soviet satellites individual representation in the U.N.
11. Promote the U.N. as the only hope for mankind. If its charter is rewritten, demand that it be set up as a one-world government with its own independent armed forces. (Some Communist leaders believe the world can be taken over as easily by the U.N. as by Moscow. Sometimes these two centers compete with each other as they are now doing in the Congo.)
12. Resist any attempt to outlaw the Communist Party.
13. Do away with all loyalty oaths.
14. Continue giving Russia access to the U.S. Patent Office.
15. Capture one or both of the political parties in the United States.
16. Use technical decisions of the courts to weaken basic American institutions by claiming their activities violate civil rights.
17. Get control of the schools. Use them as transmission belts for socialism and current Communist propaganda. Soften the curriculum. Get control of teachers' associations. Put the party line in textbooks.
18. Gain control of all student newspapers.
19. Use student riots to foment public protests against programs or organizations which are under Communist attack.
20. Infiltrate the press. Get control of book-review assignments, editorial writing, policymaking positions.
21. Gain control of key positions in radio, TV, and motion pictures.
22. Continue discrediting American culture by degrading all forms of artistic expression. An American Communist cell was told to "eliminate all good sculpture from parks and buildings, substitute shapeless, awkward and meaningless forms."
23. Control art critics and directors of art museums. "Our plan is to promote ugliness, repulsive, meaningless art."
24. Eliminate all laws governing obscenity by calling them "censorship" and a violation of free speech and free press.
25. Break down cultural standards of morality by promoting pornography and obscenity in books, magazines, motion pictures, radio, and TV.
26. Present homosexuality, degeneracy and promiscuity as "normal, natural, healthy."
27. Infiltrate the churches and replace revealed religion with "social" religion. Discredit the Bible and emphasize the need for intellectual maturity which does not need a "religious crutch."
28. Eliminate prayer or any phase of religious expression in the schools on the ground that it violates the principle of "separation of church and state."
29. Discredit the American Constitution by calling it inadequate, old-fashioned, out of step with modern needs, a hindrance to cooperation between nations on a worldwide basis.
30. Discredit the American Founding Fathers. Present them as selfish aristocrats who had no concern for the "common man."
31. Belittle all forms of American culture and discourage the teaching of American history on the ground that it was only a minor part of the "big picture." Give more emphasis to Russian history since the Communists took over.
32. Support any socialist movement to give centralized control over any part of the culture--education, social agencies, welfare programs, mental health clinics, etc.
33. Eliminate all laws or procedures which interfere with the operation of the Communist apparatus.
34. Eliminate the House Committee on Un-American Activities.
35. Discredit and eventually dismantle the FBI.
36. Infiltrate and gain control of more unions.
37. Infiltrate and gain control of big business.
38. Transfer some of the powers of arrest from the police to social agencies. Treat all behavioral problems as psychiatric disorders which no one but psychiatrists can understand.
39. Dominate the psychiatric profession and use mental health laws as a means of gaining coercive control over those who oppose Communist goals.
40. Discredit the family as an institution. Encourage promiscuity and easy divorce.
41. Emphasize the need to raise children away from the negative influence of parents. Attribute prejudices, mental blocks and retarding of children to suppressive influence of parents.
42. Create the impression that violence and insurrection are legitimate aspects of the American tradition; that students and special-interest groups should rise up and use united force to solve economic, political or social problems.
43. Overthrow all colonial governments before native populations are ready for self-government.
44. Internationalize the Panama Canal.
45. Repeal the Connally reservation so the United States cannot prevent the World Court from seizing jurisdiction over nations and individuals alike.
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