This book, written for a general readership, reviews and explains the three-body problem in historical context reaching to latest developments in computational physics and gravitation theory. The three-body problem is one of the oldest problems in science and it is most relevant even in today’s physics and astronomy.

The long history of the problem from Pythagoras to Hawking parallels the evolution of ideas about our physical universe, with a particular emphasis on understanding gravity and how it operates between astronomical bodies. The oldest astronomical three-body problem is the question how and when the moon and the sun line up with the earth to produce eclipses. Once the universal gravitation was discovered by Newton, it became immediately a problem to understand why these three-bodies form a stable system, in spite of the pull exerted from one to the other. In fact, it was a big question whether this system is stable at all in the long run.

Leading mathematiciansattacked this problem over more than two centuries without arriving at a definite answer. The introduction of computers in the last half-a-century has revolutionized the study; now many answers have been found while new questions about the three-body problem have sprung up. One of the most recent developments has been in the treatment of the problem in Einstein’s General Relativity, the new theory of gravitation which is an improvement on Newton’s theory. Now it is possible to solve the problem for three black holes and to test one of the most fundamental theorems of black hole physics, the no-hair theorem, due to Hawking and his co-workers.

About the Author

Mauri Valtonen has pioneered the study of the relativistic three-body problem and has worked on many of its applications in astronomical systems. He graduated at University of Cambridge in 1975, and has worked at University of Turku in Finland and in recent years at the University of the West Indies in Trinidad and Barbados. He has been awarded the E.J.Nystrom prize of the Finnish Society for Sciences and Letters.

Kiyotaka Tanikawa has initiated the numerical symbolic dynamics of the collinear and planar three-body problem. He graduated at the University of Tokyo in 1967 and has worked in the International Latitude Observatory until 1988, and then in the National Astronomical Observatory of Japan. He is retired Professor of the latter observatory and works there after retirement. Minor planet #10117 has been named after Tanikawa. He is also known as a historical astronomer using the ancient solar eclipses in order to determine the long-term variationsof the Earth rotation.

Victor Orlov is a graduate of Saint Petersburg State University. He joined studies of the three-body problem in 1975. Besides the three-body problem, his interests include the large-scale structure of the Universe, stellar dynamics, dynamics of multiple stars and galaxy groups. He is currently Professor of Saint Petersburg State University.

Aleksandr Myll�ri began the studies of the three-body problem in 1987 in Saint Petersburg State University. He has conducted joint research with all co-authors of the book. He is Associate Professor in St. George's University in Grenada, West Indies, and Adjunct Professor in �bo Akademi University in Finland.

Konstantin Kholshevnikov is a well known specialist in Celestial Mechanics. He has graduated in Saint Petersburg State University in 1962 and is currently the Head of Celestial Mechanics Chair of the same institute. His many awards include Leonhard Euler Medal of USSR Academy of Science, and the minor planet number 3504 is named after him.

Joanna Anosova is a pioneer in the study of the general three-body problem using computers. She is a graduate of Saint Petersburg State University, and has worked there for many decades. She is now retired Professor of University of Texas at Austin. The famous Agekian-Anosova map is named after her and her former teacher and colleague Tateos Agekian.

"About this title" may belong to another edition of this title.

Store Description

Founded in 2002, World of Books is a leading online destination for buying and selling both preloved and new books, committed to making sustainable reading accessible to all. With a mission to help people read more and waste less, World of Books offers a huge range of affordable, high-quality books ? giving both new and preloved titles a second life. The company also operates World of Books ? Sell Your Books, an easy-to-use platform that allows customers to trade in unwanted books for cash, helping to keep books in circulation while promoting sustainability. As a Certified B Corp, World of Books is driven by a vision to become the world?s largest and most sustainable dedicated online bookstore. The company measures its success through the positive environmental impact it creates, the value it provides to customers, and its ability to operate profitably while supporting its sustainable mission

Visit Seller's Storefront

Seller's business information

SBYB, Inc.
900 Knell Rd, Montgomery, IL, 60538, U.S.A.

Sale & Shipping Terms

Terms of Sale

We guarantee the condition of every book as it's described on the Abebooks web sites. If you're dissatisfied with your purchase (Incorrect Book/Not as Described/Damaged) or if the order hasn't arrived, you're eligible for a refund within 30 days of the estimated delivery date. If you've changed your mind about a book that you've ordered, please use the Ask bookseller a question link to contact us and we'll respond within 2 business days.

Right of cancellation

If you are a consumer you can cancel the contract in accordance with the following. Consumer means any natural person who is acting for purposes which are outside his trade, business, craft or profession.

INFORMATION REGARDING THE RIGHT OF CANCELLATION

Statutory Right to cancel

You have the right to cancel this contract within 14 days without giving any reason.

The cancellation period will expire after 14 days from the day on which you acquire, or a third party other than the carrier and indicated by you acquires, physical possession of the the last good or the last lot or piece.

To exercise the right to cancel, you must inform us, glenthebookseller, 625 S Railroad St, Bldg 11, 60538, Montgomery, Illinois, U.S.A., +1 6308001491, of your decision to cancel this contract by a clear statement (e.g. a letter sent by post, fax or e-mail). You may use the attached model cancellation form, but it is not obligatory. You can also electronically fill in and submit a clear statement on our website, under "My Purchases" in "My Account". If you use this option, we will communicate to you an acknowledgement of receipt of such a cancellation on a durable medium (e.g. by e-mail) without delay.

To meet the cancellation deadline, it is sufficient for you to send your communication concerning your exercise of the right to cancel before the cancellation period has expired.

Effects of cancellation

If you cancel this contract, we will reimburse to you all payments received from you, including the costs of delivery (except for the supplementary costs arising if you chose a type of delivery other than the least expensive type of standard delivery offered by us).

We may make a deduction from the reimbursement for loss in value of any goods supplied, if the loss is the result of unnecessary handling by you.

We will make the reimbursement without undue delay, and not later than 14 days after the day on which we are informed about your decision to cancel with contract.

We will make the reimbursement using the same means of payment as you used for the initial transaction, unless you have expressly agreed otherwise; in any event, you will not incur any fees as a result of such reimbursement.

We may withhold reimbursement until we have received the goods back or you have supplied evidence of having sent back the goods, whichever is the earliest.

You shall send back the goods or hand them over to us or glenthebookseller, PO BOX 4816, 60507, Aurora, Illinois, U.S.A., +1 6308001491, without undue delay and in any event not later than 14 days from the day on which you communicate your cancellation from this contract to us. The deadline is met if you send back the goods before the period of 14 days has expired. You will have to bear the direct cost of returning the goods. You are only liable for any diminished value of the goods resulting from the handling other than what is necessary to establish the nature, characteristics and functioning of the goods.

Exceptions to the right of cancellation

The right of cancellation does not apply to:

the delivery of newspapers, journals or magazines with the exception of subscription contracts; and
the supply of digital content which is not supplied on a tangible medium (e.g. on a CD or DVD) if you accepted when you placed your order that we could start to deliver it, and that you could not cancel it once delivery had started.

Model withdrawal form

(complete and return this form only if you wish to withdraw from the contract)

To: (glenthebookseller, 625 S Railroad St, Bldg 11, 60538, Montgomery, Illinois, U.S.A., +1 6308001491)

I/We (*) hereby give notice that I/We (*) withdraw from my/our (*) contract of sale of the following goods (*)/for the provision of the following goods (*)/for the provision of the following service (*),

Ordered on (*)/received on (*)

Name of consumer(s)

Address of consumer(s)

Signature of consumer(s) (only if this form is notified on paper)

Date

* Delete as appropriate.

Shipping Terms

Shipping costs are based on books weighing 2.2 LB, or 1 KG. If your book order is heavy or oversized, we may contact you to let you know extra shipping is required.

Shipping rates within U.S.A.

Shipping rates within U.S.A.
Order quantity	4 to 12 business days	3 to 6 business days
First item	� 0.00	� 8.09

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.